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ЂQǤc9202|QtHM[Z@vz4+a~dfa\TPHQo(`                                  Pk:^xF                                                                                                                     P                                                                                                                      P  X                                                                                                                         ?     incorrect_sound    &N}  ~0   X@  :`2 Whb`?02 8 r
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CюD7 5ix*W}సS-B۩  5gek~\'/j& |BAB@ 4?ݷnZn|

6phuЀL\8lNmʰр鐃TUk\oyv 5kyWF8T-`p 5gv!^'|z6!o 5axT(;˹U?4ق6g6zڴȎ0yZ ;G22y(pm۸ 5O,☲N9}מn08U(U_n  5iwRn09R 5j6wrqݔ=ڽ|)|cqĨ]xX 5lyWF Z1⇵\2 5f݆ˀnS9 3 !=qҙ:t%*PyJR60h.lWmk6f4 sYLM0=4Ϛˀ)Ӏ)ll: g45gHiujԨ="xT5  LVc`9@2]% ؈ynP9hy2V#i. A 5k63 9^!lFiA22ZS%^δ4A3l,@T->8ˏ75>4 N 00
͢w6\r9f1 A@Q댞#D9(	RCT\ᴥD)/|4eG>9sb 5kf S4h䋉E~?
#A
 yWTfUFLpYkdk\O[G{S$pLJBm K 5hNf @&C$|#N@Y	K|7jxi
L&(0 M} _Mw߉ϻNVcQ 5wi; &	]{vQ-MEů6Xӗw >dpQ]fsi_ 5jw"crj7#E# 5kx]a&}a*  mnqL @M1	2H ;s W 5l
yѹ)(+A\ťb 5lyF䯎ߞ]g>oF7<Ò "p@  5O/-frYx~wzmѽAjq 5kxG
A@x1~kB&Ƙ 5jwR;vs)ۇ"LGq\ 5dLxWn]wIZI-pB`6Vp!),eԕ3Ųkt]4ہo;W{~Bdl5fJNHI 5 	\c[! .A 5ig@yMRku90nܩmů
'*J[5 &g Zb=`
ـ-yؿ ,<A(δ 5hwSZiw4k\3\ lMZ 09TI ַvZnRͳAs[ bwu;ӷL  Xj:r׾A 5i{yXV3V4SX%-rRM4c?b Lp+)Y),Jr0C{Š*d\xnv:kkɷK  S%W5 5eDiȤPU0"yk@ \ѠFXf%=\O ..m|]rP 
*q/q˛$xܷv 5gs'5,I˴+zܽ'bfa7G	&Mf6o ڒ} 5i_k;}7l~Am#U{_"<󀻛ioB[ (~oS6RsZeaar|W*lt&`	O v[_5nɮ7
@5iZf35 j[w)7V~Lr\LDh۔YEaifVlle3P 5d>(;}$ʌw)|?qj 5e"(}$ʎ _6֐m?渽o֘Fa%h @.xg͉]n| 5Nl'(f7WYt7a;g 5d*{yXV/{n-@5heTd	[RgVyl b`~rtmN.s<k"Jǅ.;rtmMs|I(n;rs_mVUfV 5iZf35 j[w)7V~Lr\LDh۔[}+K6Jc`-5eI
	 .p+`P^P ' 5	 pХHRJǹYw^Ȁ4YMrdX ֿċp#Y1J'	rp&S 5ig@yzeYn'RZe& ]-v)|qkU7f &i :MJ28z Wrm˒@凒R(?֘N 5iW3JeJX	0g@.re+%%Q[aV؀ڠ{H+S%Hvk]] nMX 0,Rp 5gUzk]oou#¼nRn~eJWsVpڣߠB 5hQKc,,@b$F (qr^28D w0!+{mk@VR"ЍZ5Ft ڷrkk>ͽim`
ܩɼ(knա 5akMer,B2%JHR n1/z`	4nٺ<7Ŷ6P 5jQ/VW)-bMF6vX'E p%%	F~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%   !"'(),-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--rrxxR?Z/9cgg!@[^^<`c Xf&`  XT@XT 3Xa;Sg XS9g P$PnͷP X>LQ X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X')W<\X}_ XJH   Xa`  X_[`  X4V$X_c`  X_OT`  X_N`  X4^T$ X__t`  X>>T`  X<t` X_b`  X_O`  X_m`  X_``  X4ft  X_X`  X4ft jX_e`  X7Vt( XT`  XU]t` X`T`  `  X`T`  X]`  X-S`  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<    	*    g2p0         percentLoaded 
  Y`@ ?U             HowMuchLoaded =  dLoadedBytes   dTotalBytes H           PBL 	 ̒     XN!̀ 
 ̒     XM!  
 ̒    	 XN  
 ̒    
 P>L 	 ̒     X!Oa  
 ̒     XN 
 ̒ 	~   b D
      &@4 i @ @   &@4 pi @ @   &@4Ti @D@   &@4TMi @d@   &@4T}@i @@   &@4T@i @@   &@4T i @@   &@4Ui @@   &@4U<i @@   &@4Uli @,   &@4i @ @   &@4U@i @L  &@4pi @ @   &@4U i @p  &@4i @D@   &@4M i @  &@4Mi @d@   &@4i @  &@4}@i @@   &@4ni @ԓ  &@4@i @   &@4i @ @   &@4.i @  &@4 i @ȓ  &@4 i @$@   &@4i @  &@4i @  &@4$" i @D@   &@4i @8  &@4<i @  &@4$T i @h@   &@41i @X  &@4li @,  &@4$ i @@   &@44i @|  &@4@i @L  &@4$ i @@   &@47i @  &@4 i @p  &@4$ i @@   &@4
ji @  &@4 i @  &@4% i @ 	  &@4>i @ @   &@4@i @  &@4i @  &@4%N i @  &@4>i @$@    @4R  &@4	ni @ԓ  &@4% i @<  &@4|&i @H@   &@4
.i @  &@4% i @\  &@4|[@i @l@   &@4
i @  &@4 i @  &@4|i @@   &@4i @8  &@48Xi @  &@4| i @@   &@4i @X  &@49 i @ē  &@4|@i @@   &@4i @|  &@49i @  &@4},i @ @   &@4i @  &@4:i @  &@4}a i @$ 
  &@4i @ @   &@4,*i @  &@4;xi @0  &@4}i @H  &@4 i @$@   &@4XZ@i @  &@48q i @P  &@4}i @l  &@4D" i @D@    @4X
   &@48t i @t  &@4u@i @  &@4DT i @h@   &@48w@i @  &@4,i @  &@4D i @   &@4i @ @   &@4pi @  &@4,i @ܓ  &@4D i @  &@4i @ @   &@4p i @ܒ  &@4,mi @   &@4< i @Г  &@4#i @@@    @4p  &@4,?i @$  &@4= i @  &@4#Gi @`@   &@4Y@i @H  &@4=N i @  &@4#u@i @@   &@4Yӈi @l  &@4= i @<  &@4#@i @@   &@4Yi @  &@4= i @\  &@4# i @@   &@4Yi @  &@4= i @  &@4#i @@   &@4YXi @ܒ  &@4>xXi @  &@4#,i @    &@4Bi @ @    @4Y  &@4>y i @ē  &@4#Zi @   &@4B i @$@   &@4>yi @  &@4#@i @@  &@4," i @D@   &@4>zi @  &@4#@i @`  &@4,T i @h@   &@4>{xi @0  &@4# i @  &@4, i @@   &@4| i @P  &@4GGi @  &@4, i @@   &@4| i @t  &@4Gi @  &@4,| i @@   &@4|@i @  &@4G	i @  &@4,} i @@   &@4|`i @  &@4G
mi @   &@4,}N i @@   &@4|݀i @ܒ  &@4G%i @   &@4,} i @<@    @4|  &@4Fi @@  &@4,} i @\@   &@4Fi @`  &@4,} i @@   &@4FKi @  &@4XXi @@   &@4Fi @  &@4X i @@   &@4Fi @  &@4Xi @@   &@4Fqi @  &@4Xi @@    @4F(  &@4Xxi @0@   &@4X@i @P@   &@4Xi @t@   &@4Xi @@   &@4Xi @@   &@4X`i @@    @4X(@ 	 i @	 i @̉	 i @Љ	 i @؉	 i @܉	 i @	 i @@ 	 i @	 i @	 i @	 i @	 i @	 i @	 i @@ 	 i @@	 i @`	 i @t	 i @	 i @	 i @	 i @@ 	 i @ 	 i @(	 i @D	 i @\	 i @l	 i @|	 i @@ 	 i @	 i @	 i @	 i @4	 i @H	 i @\	 i @h@ 	 i @	 i @	 i @	 i @	 i @$	 i @8	 i @L@ 	 i @@	 i @	 i @	 i @	 i @ 	 i @	 i @,@ 	 i @ 	 i @P	 i @	 i @	 i @܉	 i @	 i @@ 	 i @	 i @	 i @\	 i @	 i @	 i @؉	 i @@ 	 i @	 i @	 i @0	 i @h	 i @	 i @	 i @@ 	 i @@	 i @	 i @ 	 i @<	 i @l	 i @	 i @@ 	 i @ 	 i @x	 i @Љ	 i @	 i @H	 i @t	 i @@ 	 i @ 	 i @D	 i @	 i @	 i @$	 i @T	 i @x@ 	 i @ 	 i @	 i @t	 i @ĉ	 i @ 	 i @0	 i @\@ 	 i @ @	 i @ ؉	 i @D	 i @	 i @܉	 i @	 i @<@ 	 i @  	 i @ 	 i @	 i @p	 i @	 i @	 i @ @  	 i @ l	 i @ 	 i @H	 i @	 i @Љ	 i @ @ 	 i @ 4	 i @ 	 i @ 	 i @l	 i @	 i @@ 	 i @  	 i @ 	 i @ 	 i @H	 i @	 i @@  	 i @ \	 i @ ̉	 i @$	 i @l	 i @@ 	 i @ 0	 i @ 	 i @ 	 i @L	 i @@ 	 i @  	 i @ |	 i @ ܉	 i @(	 i @h@  	 i @ P	 i @ 	 i @	 i @L@ 	 i @ (	 i @ 	 i @ 	 i @,@ 	 i @  	 i @ l	 i @ ȉ	 i @@  	 i @ H	 i @ 	 i @ @ 	 i @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @     )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
 ?	  {3 response user parseFloat isNaN tolerance diff correct Math abs commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent log mantissa sigDigs output e  IsItCorrect  user correct    A     =    =        =    > z?{G<    <       RH   >    >  	   inputString  
    R< 
	         N N<         <            
	         N R I      <  <          R<     ?	         I        	         IL    I >              
	         N R< <      I   	                  
	         N R<                 
	         N R<  G G< 7     I   	                  
	         N R<              
	         N R<                 
	         N R<  G G G G< ?     I * 	                  
	         N R<              
	         N R<       	       
	         N R<  	               
	         N R<  G G G G G G<         
    N NH    G 
    NG >O     num digits      =  	         J> _          H <  !     "RK< #!     	R< #> $  
       %R< ! $     "R $K<	    ! &R I   !! 'G (   ! R< )  (    N N< *   < ) *H   !! +G **P  #!     	R< #>O  ,   num sigDigs . J     =   > -     R     .R	 k@U     R< 	         I   -         $- 
       %R< / $< /0     /     R 1/< -	         I   11 2-GG 1>O ?  0 outputString sFore sAft LengthOfString LocationOfSpace   inputString indexOf substring outputstring LocationOfComma , length isNaN  UserValue userResponse StripAnyUnitStrings AbsValueFlag Math abs correctResponse bCorrect IsItCorrect formattedCorrect numDigits formatDecimals checkmark gotoAndStop correctCounter GiveTheCorrectAnswer Correct!!  Well done! Sorry.  The correct value for this problem is  unitString . CountTheCorrectResponses nr theRandom igap floor iflag j swapTemp theIndices theLength random theCopy theGiven $ StripAnyUnitStrings  inputString   A A A A             R<  I     #                R 	 
        < 
            R< 
 I     k   N 
             R  
    G     R  G 
 I >  J    =   >    J>T EvaluateAnswer  correctResponse numDigits unitString AbsValueFlag correctCounter      =<   5       R J     R      =<       R<  .         R P  6         R  G G !G "G #$ ShellSort2  theRandom theIndices  $% N< &$         'R< (A )A *A         &H g (    (    I  (         )         $ &     )H   % ) &GN % )NH   *% )N % ) % ) &GNO % ) &G *O *+ )N + ) + ) &GNO + ) &G *O (    ))P   &&         'R % TraceArrays  theRandom theIndices J  $% N< )        < $     )H   ))P . FillArrays  theRandom theIndices theLength y  )        < ,     )H M  % )          -RO + ) )    GO ))P ) CopyArray  theGiven theCopy theLength U  )        < ,     )H )  . ) / )NO ))P  ?     txtInstructions    
   setup_series1 ?    Symbol   3<e5JܙxӰ~և0hP|8(7Gk
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yWF܀[^Z1D77 5gv%x^M߻~k6%wo 5abx^T(˽]E4٢h6tּ%d )ȹ76[v 5N,⊱9=n.T'um{+  5hwQ-] 5iwr	;ŅT9hcJ)) 5k.yWF3<rF7N֫VU5g*u-Kfd;ɄF S "9is0xj R6S ^KʎRQYB'T &p@g>h ' 4yp:p4T  5f^dJ?}.1֧=JqLiVp_.O뮒JQrm>rF8Ԫ_0p 5g*u-Kfd;ɄF S "9is0xj R6S ^KʎRQYB'T &p^%zpP-W`5'=PB	,P_Lܼ~=ϥ *S)  5fu_H;FP$o,Bl [$ֹhJuN
&mߐq>ؽDw(ܴc,*̀5geu;LLI) * GjPÄ'L R>k o{ݧ#1ȃG֫:d7 '	*Jk̛k4`	(z2iBk݉ 5f^yRnI7n\u$ 5jʌx]*}*  m NqwL :M02 sn W 5jyѹ=(Dq( 5knC]><Liǌs7&|aq>#;` 5Nxے}srcx~cz g֠ 5jx
oEr.W$q#/mp 5iwQܖvWx+ۗ")Gq 5dFHc	 Wʖ]xc]2:?:lI@B3fS6åz;eJ{ 6ۆm̎jv_`T:3FL@',>RԀpF6Rݘ  5hg mNk)wf\ܬrm
'?.U  4$|I(ִ++L?Y0g6K 5h2wRiwk\^nͶ^ 09T( yKiZR\v"5?|U-kzdђk0xDc*w{WB\-yp 5fN{w+r]X~f Ȱ ^ ʔV%=qfUbj@V!؈*\d}w>Kp ' 4K) k_ESL 5e@$i$PU($HsK">}o<mEK]/YG]f`I ^}^tv'' TdIIю] hg@ 5fs'u,I˴+zܽ'bfaG	&Mf6m ڎ} 5i
_Ml;l8vo==4^PM^=}Q4LKբ\`37 |yܧ*͌ mM>3 &Zىֿċp;-x;kX 0)$ 5hf-6 g[w*7V}gI񮟍uIQnTyg⿅];%S	5c޿(}$+ʌw*<?q^ 5dƿ(}$ʎ _6 ֘mOo֘N d @.xg͉nP 5Mif7ZYm7 5c{yXVG{n+5kN 1Ve0lbiE mܨp'cĘq쉒)Cܨp'7aƺ$
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      3` ?    VerdanaK      .s*TKuEs/'C%	J	^			#
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a(K!LBTZ%KInQJ5jyѹ|hW1ԣ 5k+ϟ.}sbO;k&/16@5jrxx؍sbS	Fq͇.&J]ʹ 5iΌxM
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   <         @<   O         @<   O    <         @<         @<         @< 	        @< 
        @<         @<         @<         @<         @<         @<         @<         @<         @<    <  H         =      =     I #         =      I #         = c     I #         = +     I #    	     =      I #    
     =      I #         =      I #         = K     I #         =   	   I #         =    
   I #         =       I #         = k      I #         = 3      I          = P                                                                   ! p	Rg 999 ===
V sssqYD mmmg*I j  
,( . |,L 1 a,/ mp=rĠȀ !zj',  ; u+ u
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J3;Vj;2SFf~(j1ڞNGjdgڡD8&'fDVh<&iG?jϐx݊/>CrnjO 1!ӋdlQ=[jڲDg\jRˎ#vWڱ87GjRdZklӛ8g|jRՖT&:w`F? V	/&<jR"ϧ4RҁzVJS=&ݤ;4`sM髬4n	m_Јaw0"&m/LC[BHh6#WN&ą$#N\! NL,&\j$"H)ڊ7(t:5ZA;UR(<4MT.ڱvIIJhޔ%JM72hjk:Xv1"9-5utv,%KJYwq%&)\9T;.%YG84斛`zjN=;x%yO+Pܲ6Fr:9Pٯ!v;XVVsǨUWg\N~FL丏TpGz]ed[?Q&LH8VOW\I~fd|y߉|ٗ8Hsy|{|C<<^+bw]C|w+NLVbxIو|:$>ۇr<0X ׇ*;&&|ӽAYmݲvևw;'uZf)MVو@N"0ֱ    " p 	  }P 3ff SB4|      %ȁAf3" 1¾t.@.Jtȭh-D!8h-{f8+BЀ/{6gJn#j<SuCM`     # XT z 	       Rnem     $ X
T z  	       Rnem     % XT z 	       Rnem     & XT z  	       Rnem     ' _t_  <   %n y#     ( Ulo <   %VsmNp 	   )  D
    (  @      * P	 	 d    + P4	 	 T    , P4	 	    - h U  
 f0l!n# `fb2.`CB c1 d\Rt 0   ofbJ-H	  @6.OF 2.ĈS@ eul]    t0D)x !ME.p `@91@bt04)YoF    fb2.q
`3tv`C"@v 0'3@0  nd]1 FCb驈 e 0 -hb `z0@0mL@s4 `S    d]1 FCb驈e 0E 틠"Iv`d] 
h2-v`~cph  	fb2.`&  m
6t6.d[l] "Lvw$t02.ތ 4RȻt0?1@  t0?1FE2, ` 0:CI`~c@ 2   . h"P  	  )A9Lr10t`Kr 2   / h"P  	  )A9Lr0t`Kr 2   0 h"P  	  )A9Lr10t`Kr     1 XT z 	      $ Rnem 2   2 h"P  	  )A9Lr0t`Kr     3 XT z 	        Rnem     4 XT z  	      & Rnem "   5 Xiz  	       Rnem 4   6 hӰP  	  )A9Lr1c`F@ 4   7 hӰP  	  )A9Lrc`F@ 4   8 hӰP  	  )A9Lrc`F@ 	  9 
 D
   ?   S 	 deltaB strainB LengthB deltaA distanceA distanceB strainA LengthA correct_answer 8 Formula  LengthB distanceB LengthA distanceA strainB @    <    <  <  ?2   + *C?a2U0                Formula =  ! z, > "   #   $  # >  %   & ٸ 	 ' $   r 
 ) $   rȦ  *   @Mv +   @M2@@ , @'[ -  . 	@@ ?2   + Mb@?                Formula =  / @ ?2   + 6:?-C                Formula =  0 @ ?2   + F?Ǻ                Formula =  $  %  $  1  $  2 @ ?2   + 6:?-C                Formula =  0 @ ?2   + Mb@?                Formula =  / @ ?2   + }=?H   	             Formula =  3  4  1 > 5 & 3 ٸ  6 @ ?2   + tH?~j   	             Formula =  7 @ ?2   + 6?Ǻ   	             Formula =  8 @ ?2   + *C?a2U0   	             Formula =  . @   N  : w ~`N3<@ Oɯ})-@j@ ~KgR  F8J;R@l~u} F8H;"Xj#ƌ cĩuK( c] ZZZ 333j? a\   nj@ ab	[A 7-A4e 8 4*A43Lϵ`y  Qb   \bY$G	*$"  Qh	 
mp G:"RC(
 ɱ H8K=$Ū 0 4*B66- 0 4*B6 tF :$ڑ Qh R*" D8!RB%Q0.a9#H aj;֤jf 9-B60ޕDjȼ 8,?3 #"  D8!K=$c 9#! alj?q?#  il $zάB#  M=YI, &Hi,"  D8!RB% ,#jP M=YI, .O#0 OA'YI, u"*^# OA'XH+ D?ڕ* al Of@ 5*?35 'bjY H;#XH+ !/9p# Z`A /TjY H;#XH+m I-j`I J:PB' J fj] Z` ܼjbI NW3- 'fojh	d G:"PB' mq?˻#x /%8,[!z# /%5* ?Kve# hj h}OjH hj h-nk4Cѩj$ ai HjX ag_{-b$0 -#2(4:j	 -#6+=n]jI. 1&:/ 4ҧZjkIP G:"J;:_j	 -#6+ 27̹qO)5  E9"UE) (2 333888 Q  333CCC ( 333CCC o.j 333ZZZ Qc 333ZZZ >kj 333uuu Q 333uuu Y4? 333 Q 333 
 .)X 333 QJ 333zzzoMoRY ;0J;ߴ jhV 333WWW @ M 333LLL[Aj	@ 4)?3% Ǹ+1 333zzzcʜj	, 1&:/1?ŚbQ  ;0J;%@ 9,F8@ %Z WWWzzz@o Z+ LLL^^^1?S  6*@3>	ڞ WWWzzz @ MJ 333WWW sjh 333www@	 u  wwwkn R̛@  C7 ]L-T5 C7 VE%U6@>'t> 7+:/% 1<P A4G9 5/9 JT E7l@`'9̀ </<0ˆ  </>1ϱ9  S[)0zqy` _Ĭ~&\ R̛-y<@y3w'>p 7+:/\څkϸ }˗ P 4k΀ SE)aP0fO!|mA _Ĭ~RlRBH qqqxxxF x>d& rrrxxx'4sqA sssxxx www yyyv }˗  ~~~ }}}&Hk֐ zzz~~~ 52k UF*aP0 QE ?1C6  8FA  :0C6 @ M 333wwwjp}DAH www jhՈ 333 $hgj{ uuuZg<i pppxxx,;5B pppxxxk ~~~4D ~~~ݧk ~~~"ֿ  ~~~f2iP qqqxxxyUy&Ii& rrrxxx&8_jE tttxxxYqտPTh mĬ~  7iA mȬvq  {őm}~jC yyy~~~"ֽ  yyy~~~ݧkܑD yyy~~~2ɻ$0)E xxx~~~,@Fp xxxuC ~~~"mHk ~~~gdJ {ɖ xxx#'$uգE xxx}}}ckVѣFP xxxrEMF xxx^=F yyy~~~ k zzz~~~$=F xxxj>0ahQ xxx |||VD(kӓ$ l̙kQh lɖ6A ;0D6(֔5 ;0E7KjZx  RC(_N/ G 4,k TF*`O0  mZx RC(_N/ ` R(kR> P?TE)jE]) H;#TE)ì@s+ l̙H 6,E7 \ܶ  ŨpȬv  C>Z3  ŨpеH 6,E7S٥H 6,D7 Y)*i<R~ ;.D7 Hޱ 7fZN еֺOĹsi5 6*=1ΔuK 3)=1qFN4Mh ԹƒҮ;ƭL8 .$6*?,E2` ,#3)=/	vi$R ջŐ剜63` (.$m#Ѯi(2 (-#!y餃L ׼nqҗi(2 (-# # 333zzzNMH )-$Ljpi! ׼Ő4  h͒f Ũpֺ T滽*  H;#VE'UmL ̱}̙ @5. ̱}˘ R]Kh M=YI,{=0I  ջ˘
SS`kߓ ìǕ r|͖.  ìǕw#zk N@&YI,&  @DLT Թƒ NJ` H;#VE' N%Kh M=YI,#Duy'L N@&SD) B)9L D8!SD) V&9L D8!SD) )_cFL yѷ xWh]k ìپ Fztk yѷ@ 9UkՓb C4I<# 
%AkS0 yȭx MJFa8  ?3I<# @ {B2@ 333 T m7tqI2  VE%_N/ A%9Ǚ VE%_N/ E )aǦ SC$\L. @ =p 333 VT PzRJ SC$\L. 4  "\{:I  O?!YI,|${] 333ʈ <{*H O?!YI,6q \|*G I9TE) G+q5  666HǷ  333 @ {Cw@ 333 n ;;;BV 333 @ {B 333 *Z BBBڴ Kk 333eM 4*A4 O.kٓh ?3C4 X#K Ϸƒ  ohSP Ϸď R.@	p&V3@ ջŐ=NM ,"7,,V5 Ǖ h 2kӢ پǕo=8@ ) 4*ůM "0& Ñ \F@ 333HHH  333BBB %{-L Įڿ tFlh Ϸď dh Įڿ hN ˮvӷ ) !,tpvi-  </E8!  5"py& >1H;# 9 xI$ >1H;# }@  333 A,V A3L>$^| :^  333 `-p4 III  III ` 333III `Mi[ 333``` #w@ 333``` 8jiV 333zzz }@ 2  333  h 333 !8 3)=0֍7#nM )-$ YyFH 3333aWM )3)jìqmM )3) 7?Zt  4*A4[M "0& 1B 4(=16=7 ,"7,%PaH   t1? 3'>1 	kӆ 3'>1?  ) 4* e  HHH  LE BBB *i iV zzz 4 M,q/0  I:RC( @ & 333 AYt<$ J;RC(cjMd 333 ]q=/  CCC(N 333 @ Mc 333 
ͩl ZZZ ml 333 @ M 333 K&Zc uuu Yl ZZZ }@  3333  B  zzz  -n 333 Y5n ``` AkWk 333BBB  CF ;;; w@ 333;;; 
  CCC }@ w 333:wH 333 E5n ``` lNk 333;;; 444  q6  666 ؙx 888@p' B3N@%lEEx ?1J=#q @I\NrH  F7QB' J i 9q:	   F7QB' r/p(2  333III /  333<<< N o/pi  =2D6 :7j <<< % 444p@4R C4PA&O,#$t =/I;"պ@)
 I9TE) RƊ#M"$ tHR H\R  tHR#O u$ kC{Jk9 /r	J  tHQX _>r> kC{J Y礈 :/H9F Z~rG :/E7 M$| @1K=$KG$ @2L=$ S 5$ A3L>$ K@mg A3L>$@Pa,  :0E8|@P!g, :0G9q a"zH  =2H: P eFp   =2H:   MwV :0G9 k  DqGI' D8!I9 R@	!p A5F6 rp	  A5L>% jyWp,  F6L>%[S X\#[4 {N\{1 "qT:R {N\ x8$ rHQ^p 9mqOIK {NXY _=WqM	> rHQ Jƞq)  :/H9V @"ri3  E6H9 Jl@pAb@ I:QC( [ 907|.=٤ I:QC( [ 6ІڔqH	  D8!OA' Y[<$ E9"OA' ˘UwK	$ ǔ̘/{F$ ŭ˘  r)/  E6K>% 9k-" @4K>%: ]pN ŭǔ~ 3# p	; |ڿC qRgp? |ڿt )p):  |ϴ n#bP F:"UF* l4qP F:"UF* Mri7  @4N@% 
ĵrI7 @4N@%z %qN)9 rH{Gy %r:  kCsA  2pvi-  </E8! - R٤ </B5 :l@:'8 @2G:" ʘ dӿ%bM OA'UF* 8V =Cq-	8  H9QB( 4 M-q/0  I:RC( 0 ?7q,8  H9PA' . K&uq)iH  K<VF* 8  =E(q-	8  H9QB( [qB|_qN9 I<$UE) 0EҰqO)5 E9"UE) .QնG I<$PA'! .AO F7PA'8 ` r
C  B6 N@% R p ]^qII  UD$`O0 F u%q); VE%`O0 Fg M=XH+ ż lȇ	v8 OA'XH+N MG	H M=XH+μ \V	ʕH D8!QA$ t F7QA$D<@U	H ŭ˘Eq:Mp)$ Թ˘J;]Y$ ȭx˘<叼w	ԕ cǓMLח	 ȭx˘ Tjpv  F7J<$ r3%&( C7 J<$>X6pɰ  cپ \TN
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 +   @M' +   @NAp ?   @M]q , @'.P  @  B  @ ?$      *   H       Formula =  C @ ?$      6   Q       Formula =  D |DU E  F @ ?$      6   Q       Formula =  G @ ?$      $   <       Formula =  H |D[ I  F @ ?$    |  $   <       Formula =  J @ ?$      (   6       Formula =  E  K ů L @ ?$      (   6       Formula =  M @ ?$      @   `       Formula =  N  O ţ F @ ?$    J  @   `       Formula =  P @    !  R p~
xw'"b      SSSM^+Hb  { { {Jh8_^ h| Pi +ؖ  J -%E   9[ rmI@  l@#V' 1 Sx  L@PX&'9  h+T"G S AVb  3<G  z { |@P#))(   '@pAV))'  g 52b  VueM  &(.  Tq @@D 4P`  v*)C bT  RYK%T   b Rbx QF2VJ6 
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 n_EvfK $ #R6j2 qaGyhL&ϱ?ڪF  &5jp n_EyhL 74jt n_EyhLr8MF paGziM R 5vjTZ qbHziM v u) -톫:  ݝ<@-֫;  c߿کu  lG ] g j 9 )@` 3 *,ѫO0 Ǽ^\@7֬= Ǽ ^ nP qaGyhL+ 	 oYO VIb}P ZZ/Pp  B g*jϔ E}t/6  du [I · NϻȕjT · 	aP w)[jb  }-+Q`  F <VG ] bU>vfKJuCĩ  du·kqH	  bU>vfK KKK /CݪR` ǃs%Rh cARp Q)R  y'R  .[ xjԼ վ&AL@ |L` +ՅS  SSŪS8 qyq L޸ V!	S qyq eee kkk =qЀ V~Y/ >q*
  X[K/㰵8q9 as}܃Q( vvv~~~ b% 4_p#	 X[ V g<?p I  WZ 2C 3L<pI  U|Y   Pp  SvW X SpI OpTz 2 SpI OpTz r   Pp  SvW 4 5KwpI  U|Y P [@p )  WZ nb &p#I X[L϶g xxx~~~g{e vvv~~~E 3Q
q) V}X b; ![q	  RuV}D /Q@q  TyV~9 ^(q  MkRu<
 [FqI KhMk> XeqI JeKh(H\i*{@ asR"<g isLp imp  ms r+ H E;*J@.4=Ɓ ab a a8 __q  IcKf> Xqi  IcKfsݥ mq(zI) mq n n a a Mec])d  rmb)v  b ɅqO   h gh )@ tU|[ h
 .)  B{  d d d eFg Oq`8  'b #wqcB  ; 6M)Ŏ) @ SVpE  *
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 1ܗp[  ac#L)X  x =B  E1f` 
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 fV_1@d[`jb dXіl 0:"&<`S0HEр   oc1ژdX  0=  a Ȼ~c1 FE2.!L `0lov   2jpȶ1ǈSE !lCt2 &;b `z0@0mL@s4    t0D)&$`l]51t `d]. !ME.p `  n	fb2.`& 0  cEqf8 `~cD.8f 0    6t6.d[l] "Lvw$t02.ތ 4RȻt0?18  	fb2.`v 0E 틨d[b `S `  	cEq82f 0   m
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 fV_1@d[`jb dXіl 0:"&<`S0HEр   oc1ژdX  0=  a Ȼ~c1 FE2.!L `0lov   2jpȶ1ǈSE !lCt2 &;b `z0@0mL@   "Nf
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hRLd["Хl] pRɎغ 04)`w;bKt0@0   fb6.&b `fb2.q
`d Ȼ~c1 g@   a p  ^0 
 fV_1@d[`jb dXіl 0:"&<`S0HEр   oc1ژdX  0=  a Ȼ~c1 FE2.!L `0lov   2jpȶ1ǈSE !lCt2 &;b `z0@0mL@s4 \   t0D)&$`l]51t `d]. !ME.p `  n	fb2.`& 0  cEqf8 `~cD.8f 0    6t6.d[l] "Lvw$t02.ތ 4RȻt0?18  	fb2.`v 0E 틨d[b `S `  	cEq82f 0   m
hRLd["Хl] pRɎغ 04)`w;bKt0@0   fb6.&b `fb2.q
`d Ȼ~c1 g@   b p  ^0 
 fV_1@d[`jb dXіl 0:"&<`S0HEр   oc1ژdX  0=  a Ȼ~c1 FE2.!L `0lov   2jpȶ1ǈSE !lCt2 &;b `z0@0mL@s4    t0D)&$`l]51t `d]. !ME.p `  n	fb2.`& 0  cEqf9# `~cD.8f 0    6t6.d[l] "Lvw$t02.ތ 4RȻt0?18  	fb2.`v 0E 틨d[b `S `  	cEr82f 0   m
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hRLd["Хl] pRɎغ 04)`w;bKt0@0   fb6.&b `fb2.q
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 fV_1@d[`jb dXіl 0:"&<`S0HEр   oc1ژdX  0=  a Ȼ~c1 FE2.!L `0lov   2jpȶ1ǈSE !lCt2 &;b `z0@0mL@s4    t0D)&$`l]51t `d]. !ME.p `  n	fb2.`& 0  cEq8 `~cD.8f 0    6t6.d[l] "Lvw$t02.ތ 4RȻt0?18  	fb2.`v 0E 틨d[b `S `  	cEq82f 0   m
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D8( r݃(޷+j
 r݃G jnk 	 mu 'j  p  qq էbmG Sk N
 ip h j ΢_t p i ΢_t  Bㆀ ѥ`i  "fx ѥ`iG Z  ip ѫ8  pBj\ | IZd  |UDI n׀0ַijRd n׀ "j` jބ l S ʞ\r t #e& ʞ\r  a䛀 ͡^ܭfG   ܭfj sss rrr DDD'[ x)X|*Z:h x)X|*Z ^@P 6g    ''' . O#qhx    '''  j![    ''' Z!j     '''(޷7j k|\ڹ5 wބD[  k|uOű  y)X~,\ v (il  śZn l U  śZn 	I jބ wބ--fڼ  ۬ej  )ưy& ͡^ܭf%IVgZů  էbܭf Z[  ۬e  q  ɞ\էb |*Z {*Y z*Y_\Ҷl y)X~,\ y)X {*Z |+Z |+[ }+[ ~,\ O Y =oiն }; @  S R Q Q S O +3 #qi     Y@P 6g     z)Y?\ SY    


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 Kh@^&Yg    \ Y    nnn (YZ    nnn EįiZ    nnn  ]]i@    nnnk~Z    nnn 	Yk    y|j|    nnn+3 )qh    '''QZ    ''' LVl`    RмhV     P Q P P u|c8Zp    @ `%     


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MrÄ_hƃ?ɓg{7ȓyiPl#{Hӓokg-H-<.SCwtyƌmSpdЮ: D{A[ygD|i9č?%ągb>p$"$/z;;LfwXK0)z<Oz<ဎ\814wO׎`n-4'QQ2C4tguz}mQq!9xHxn;GλpЉB54+OGp`Y-	$7?f$/_{B2BMAX\;E Y/?\WBG6kHB6zvr8H^edkw J'i YvBā丑H8fčk]hWJe2(g#ZQ]%$?rPp59ռy=#Lk3K8o[a7t;GX+!_@3>֣P7#Mc^d <Xy֞O*" sΎot <@Wvh47!z}@H&}vw
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V@o~R}D*;iNMeU1vv8 %oٜ;IUfSu8gq[؜@L&/.i^ei       e +q -br[.Y.k\^ZEaf[yQ{4č	EC[F{T3;r( NQK7~?qW(%-+,Bv;XBhvsv΢
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  


 
 0
ZqnuȒԃc"#oM(t6)RυgWh9,(X>[Ή]qZA'ߔ3lS:;X8Vrv,k$g)Y0Xy՜ -9Rvė-n^&CyJM^NgD"ݷ=+ݧ~s8g3;LNhw
Vr2
Vg4H wܗkB .   l p 	@  x 3ff SB4|  <   %1 叀     m p3J         %$F0)f1g,Yy҂\y -7.$])KBݺrF`.Ja-q%)^2$ހEQύbBb
:&   n `` 	      -VRYJ
_?  &   o `` 	      -VZYJ
_?  (   p XZ 	 	    U   MVR  *   q XZ	 	       -VzX     r P4Չ 	     s P4	 	  9  t p h( jx 
 f0l!n# `fb2.`CB c1 d\Rt 031%   o@HD d\ 02.3!~c@ eul]    t0D)x !ME.p `@91@bt04)YoF    fb2.q
`3tv`C"@v 0'3@0  nd]1 FCb驈 e 0 -hb `z0@0mL@s4 `S    d]1 FCb驈e 0E 틠"Iv`d] 
h2-v`~cp   		E0& `S   m
6t6.d[l] "Lvw$t02.ތ 4RȻt0?1   |2.wCR1l] p2. 02   L:CK`D)P 6   u `J 
  j8(( `A h ш ($( e $   v `) 	      IVRX/? $   w `) 	      MVRX/? (   x XZ 	 	    U   EVR  *   y XZ	 	       -VX  6   z `	J 
  j4(( `A h ш ($( e $   { `) 	      AVRX/? (   | XZ 	 	    U   IVR  6   } `J 
  j0(( `A h ш ($( e 6   ~ `J 
  j00< `A h ш ($( e $    `	) 	      EVzX/? 6    `	J 
  j4<( `A h ш ($( e $    `	) 	      EVRX/? *    XZ	 	       -VX  (    XZ 	 	    U   AVR  &    `` 	      -VbYJ
_?  +    XZ@		       -VRX  *    XZ	 	       -VrX  6    `	J 
  j4D( `A h ш ($( e 	   
 D
   ?   S 	 DeltaB strainB LengthB DeltaC distanceC distanceB strainC LengthC correct_answer 8 Formula  LengthB distanceB LengthC distanceC strainB @    <    <  <  ?.   '      L  Z         Formula =  k   l   ' $   rLH ) $   rLI؀	 m  
 n 83  o ܏ p uu q wu p ` *   @M0ZY +   @MMY ?   @MoY Y   @NG8p r   @NB s   ?k , @'M) t  u `@ ?.   ' ,       F          Formula = 
 v  6? w  x  y  x  z @ ?.   '       X  P         Formula = 
 n 83  {  |  |  } @ ?.   ' ,        Z   X      Formula = 
 {  6? v  p  q  p  z @ ?.   '         P          Formula = 
 v  n  |  y  |  ~ @ ?.   ' ^       P         Formula = 
  83  w   @ ?.   '      X  Z   X      Formula = 
 {  {  p  q  p  u @ ?.   ' ^       P         Formula = 
   6?   |       @ ?.   ' ^       d         Formula = 
 n 83        | @ ?.   ' r       d         Formula = 
   6?   q  p   @   	     D
   ?       & 9 @  problem @  ?       6 Q @   problem @  ?       6 j   problem @  ?       6  @   problem @      >  
i @   set4 ?   p   
˶X 6k8 *] H vkh6 U @  e@  V !4    k0  zz  k0. ss{{˼   mm~}} scBx vv}}JFP vv ʴ k0r eet j J)I eet'Z$  eet~~.k	 }} _ >jO 99A)2Ʀt   Tk4  d  ,F\  @  #VkP6  =jk2 o OkP2  \@  [寰@  Y@  M@ s  u {{]  (v  {{ . ss  r $ ss T  65  {{ }@ O y@ 8kX4 (@ nk~6 ֻ UC UA  yy ˸ 	\  nn~|| GV9z nn~vv \ Rxk2 nn~yy u Pk vv E/f vv  jd  mm~  Jk5P4 mm~*"?=A` xx ޑQA@ xxe8 }`k:V   1 \@N$%  Y| \eA( { nD  Y; [kkW^ qqxC-`khP qq2 ` qq  V@ DX XT]JLkgP qq)jkw ;B TQkΐh qqWu %kԐ qqB@1p< eB s`@\Ve
 l$-G@ K@La
 ԫ\@pYƹe	 b#mF &,@A	 Uv'k ye/4kz Ux&k ?@G V\kPh 3fkǑ< dSɯG  eetvv  \'@ eet M*U    6  vv  &  vvJ D  ՍD   D WkGQR KAG @kO tI$ֵ` <ѭm!kpZ <bkof 2k 5kQ d&.G@ 1701M ~.:a'Dp HMkܒ pDP '' wk& { *v eet NM >٬J  ` N}mP` }}M fy) }}$ @P _ fyI) }}o \ 0 :!JH N<k@ @0{V) wg:2k~ /kkQ< P KEk i\1k Ue@k CgRk:S ŷe]ckY 32kYS @ wkIR   %P (ki: %Ukl PM >4rk~< r@7=7 q"+k E#
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q	Q V8  kj &O&	/F!?P
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dIJ! gckJCcG9P6q*ThAƎW,hg9PqX9X6r=.8m		"֐x*W!)4f%P
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 xPE` PIzz2\ Oj RkA<49;_<?1܀ :x="׸,1
jKA:PA1>kLBJs!6ф0;Y2MԂu3A	!.Zj4j3 [~&>ڔ2F6PU|D}Rv)XvjzS8"JE ~34ۍL!u"jW\I9C٪ a }|v9*+{F]^`D@m{yM#ndtb$3A	e i* ^m0h!~^q
@~;Ym,X@Iv1fxy* f"B?!~;:eOx1f"UTv5ys H!2/;Y@<׽u0}8FmGE<{< hfPsB;믄vQqTmfOCrs(mk"A+vTkc %D.#^	IH+D޿׎@ݛOH	Pc*	ςe#} $nH3i܎0$=Y㵜v$fؖ$3C;:%DspfSwa3oSjTpH<[2)5$nuv)NQPڸ$UFmPۧ%wb:UPt@,vB{!Uo^T#Pii}%a6V#~`;[zƠ²UJ	EI1KPDۗ3Td)[@gLR__b	X1JCkLR:m@c&d;ZbG<x!#eK{ȍ vFx\;Zrw\HW@zܧ)7@ALoPޖk	k79nD}߉ݰ"^-I[S~DLiJ;ZT9YݡJ 07J~k:"뼏=JC(#1֘(zN7vUB;kP8XSvW5
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jOL9Irޅb	y:P˓Vq'	vyCR3X↋Hog<$ Qkv5C.[SqĨk#5nHgOqA1(7#Qpqށdjϼ$~@H]Myki85gՃrd% jַ@xfHKc	g(2
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  3ff SB4  $    pyH܆     %0f39P "    Xp z 	      NzRdml 7    h 	      >ɔjwdzRtRh RNwl }   p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cFpХrc!E䡱ul]C"f 0   rc00 02.  cGCJCE +f 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@ {   p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cGCJC51Cb) غEf 0   rc00 02.  cGCJCE +f 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@    p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cFpХrc!E䡱ul]C"f 0   rc00 02.  cHpХrc!LwCBxf 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@    p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cHpХrc!E䡱ul]C"f 0   rc00 02.  cHpХrc!LwCBxf 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@ }   p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cECJC51Cb) غEf 0   rc00 02.  cFpХrc!LwCBxf 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@ }   p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cFpХrc!E䡱ul]C"f 0   rc00 02.  cGCJCE +f 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@    p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cEpХrc!E䡱ul]C"f 0   rc00 02.  cFpХrc!LwCBxf 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@    p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cHpХrc!E䡱ul]C"f 0   rc00 02.  cEpХrc!LwCBxf 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@ }   p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cGpХrc!E䡱ul]C"f 0   rc00 02.  cGCJCE +f 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@ }   p h_ 
 f0lf$2-wz0:&$2-uS 
`c!Lغjb "    obF1ߘ
W&8 cECJC51Cb) غEf 0   rc00 02.  cEpХrc!LwCBxf 0   SE M 	`d] BP 2v 0E 틠"9lغE.   nbF1ߘ
W&; 0D)틦E2, l]D)
h"Хl] 
`    c1ȅ3f2b(t0?1@t `n;@0!m
V  	@91qH 1@ "	z0:ML@3Ql `@91@   m
rc-ȶEc`hR ȶB!L e 0 HERt `[@0#Ȱ   E.ьwR  `~c#wCR!L ``7LHcĈS@ 	   
 D
   ?   Q  ShearArea HoleDiameter PlateThickness PunchingForce ShearStress correct_answer 4 Formula  HoleDiameter PlateThickness ShearStress <   !	@-DT <      <  ?,   % (     ?      ?        Formula =   ř4 :    ' $   j\ ) $   jd , @'Y(    	  ٙ
  /  @ ?,   % (     ?      ?        Formula =   @ ?,   %      ?      ?        Formula =   @ ?,   % (     ?      ?        Formula =   @ ?(   ! (     ?           Formula =   @ ?,   % #     ?      ?        Formula =   @ ?,   % (   ff?ffff?    Formula =   @ ?,   % (   33?3333  ?        Formula =   @ ?,   %      ?      ?        Formula =   @ ?(   ! (   ?       Formula =   @       p   3VG1@L  E R @p5!A	    	ҳ,@:$O   	d1,P  G T I0 8 < R r    }KP 8 < ؒ%@lo    } CJBg˚ BG  QRj  d&& EE JJ C| ` K X [qrŁ&  ww u2芘rA  vv +d*&@ 7 ; a/۳]$` @ Er )) ? C  P
jIQ# ;Cw>Eiwguv.tύ. v[i-x~i>z%.N};cPd5尊}'B-D d"|U1d_av_vov*HgyGk8ODvdDZqa( k^PriG\;Zj- o-4xE_@K>}Bc*꬞;\[;:~ LP  [    qEv     %o,gնGmH`7dԙ\f>Zr\f
|      P4Ӊ 	 d $    `) 	      5VRX/? r   p h jx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	&c1s5vf2 &;")  `z06.H  FY f 0@0   m
SA1+b z02.!L `~c.MLFS `n; "LvL  d].  d]1 
VE2.`l]51 IE) l]    b=q
hJ `t0D)  c1ħhf.V r   p h jx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	"c1s5vf2 &;")  `z06.H  FY f 0@0   m
SA1+b z02.!L `~c.MLFS `n; "LvL  d].  d]1 
VE2.`l]51 IE) l]    b=q
hJ `t0D)   c1ħhf.V r   p h jx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	c1s5vf2 &;")  `z06.H  FY f 0@0   m
SA1+b z02.!L `~c.MLFS `n; "LvL  d].  d]1 
VE2.`l]51 IE) l]    b=q
hJ `t0D)  c1ħhf.V t   p Ijx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E      	c1ǘp9Ȼf2 &;")  `z06.H  FY f 0   m
`7
h&#сХl]  FERt `t0D)vb驈غjb `   @91@EܒȻz0 ES Хd]"nS Ĕ[    @91@&#сw@:CB  "c1ħhf.V r   p h jx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	$c1s5vf2 &;")  `z06.H  FY f 0@0   m
SA1+b z02.!L `~c.MLFS `n; "Lv   d].  d]1 
VE2.`l]51 IE) l]    b=q
hJ `t0D)   c1ħhf.V r   p h jx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	&c1s5vf2 &;")  `z06.H  FY f 0@0   m
SA1+b z02.!L `~c.MLFS `n; "LvL  d].  d]1 
VE2.`l]51 IE) l]    b=q
hJ `t0D)  $c1ħhf.V t   p Ijx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	c1ǘp9Ȼf2 &;")  `z06.H  FY f 0   m
`7
h&#сХl]  FERt `t0D)vb驈غjb `   @91@EܒȻz0 ES Хd]"nS Ĕ[    @91@&#сw@:CB  "c1ħhf.V t   p Ijx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	c1ǘp9Ȼf2 &;")  `z06.H  FY f 0   m
`7
h&#сХl]  FERt `t0D)vb驈غjb `   @91@EܒȻz0 ES Хd]"nS Ĕ[    @91@&#сw@:CB  c1ħhf.V t   p Ijx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E   @   	c1p9Ȼf2 &;")  `z06.H  FY f 0   m
`7
h&#сХl]  FERt `t0D)vb驈غjb `   @91@EܒȻz0 ES Хd]"nS Ĕ[    @91@&#сw@:CB  c1ħhf.V r   p h jx 
 fV_D 4R`bD)	`d])(  o|2.d[v` 02.m3jb6.   @@0u 0F1Ά; b=
V  b=qHB ȻS "LxI e 0 Lv  nd]-PȶEۃt `S91Ld[ 0D)ȶB!L `t0?1   @91@#т1غ 0>J#
h غ 0=CRt 0E       	$c1s5vf2 &;")  `z06.H  FY f 0@0   m
SA1+b z02.!L `~c.MLFS `n; "Lv   d].  d]1 
VE2.`l]51 IE) l]    b=q
hJ `t0D)  c1ħhf.V 	@   
 D
   ?   F  ShearAreaReqd AxialLoad GlueStress LengthOnEachPlate correct_answer ! Formula  GlueStress AxialLoad C          <   X  <	     ?    2         Formula =   řr4)    ' ř9H@ ) ř9u@ ' f{344Z
M ) f{344 
M	   
    @N( h       , @'Y , @'    @_@ ?    <         Formula =   @ ?       &      Formula =   @ ?    K         Formula =   @ ?    A   R      Formula =   @ ?    P         Formula =   @ ?    F         Formula =   @ ?    -         Formula =   @ ?    #         Formula =   @ ?       R      Formula =   @   ?   p   w. q90&hL ׀?kWuU ׀ ))0 zz        vv I
tV]8 L@$G6S     ic
\ LwEj    ffu 119 118  Dra# ʀրS9hrA ʀր \\j  [[i **0 ccr dds vv  oӝrP⎀ ۮఀp(.rQ  ۮఀmjrH=  جܮ ap("rJF جܮjJšsap ـ  3h$ ـ `˳N\;Pwcs1vxmu7J	oZ[,:NK-aj%o.%wxA[2@$J]OJG6ץxQP*jpQ$!{~ھ(!YVTA,YNԱƘL@{
jP;_MVr;߭ATBsVkJ(܂ȡ^yr"ZBx+t.
L]/y@E3YCQGzysB_HO18D7E+=b)AtVw9Uڠn[iG2lB-6wʹ`=꣘msgڴb gX5#嶕6ҧb!jž1@=Fzkm(P\ŗ[nta{xR;X~<QǀݙB߉.8<HCnwC6IN#q܄XA@{D}$;ܑv wqrbn̄Ml]~:ˀA\8$[HG	w1P6khPo8Gkʫ,YGHsT%RJr⑄fGEUyķ];̷}a`[7hm:=러@#λDbZ/mx%zεuC=Q@JvU5C>I\B#֘3(@     e 'Jl 0gңѰdK[a}}GfyYCAk1.'-[^hw;чg[Uxuv{yT7xf߬UZ	o;<RS<S m7}mK|     ? ==I?  |!u ?L#nLn=Ep/][Cv:"or׀5)Jތo
]4V[]v
e7#7L#mj3v;<;I;̬lFPLVO)GLk`      W̐  %@G@"    X8A!7 	   o1 L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`F8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1Js5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( N   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  
Nf`f8Q `x^%;@f2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1Js5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1Js5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`F8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1Js5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  
Nf`f8Q `x^%;@f2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  &c1	k"f2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`&8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1ǘJs5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1ǘJs5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( J   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`f8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  "c1	k"f2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( L   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  	Nf`8 Jvf2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1ǘJs5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( N   p i4 _ 
 fV_1@cǊ@  `" `d].   o|6.%F2, c1-,Rt 0E   E  @6.
gCсt `n;@0!m
Vv 0  
Nf`f8y `x^%;@f2    6t6.d[l] "LvغbF1ȶS   njb:oRu 0@0t `fb@0H0v 0E 틠   d]	"홈`l] "Lv" `SE !m4B v`C"   	@91@f$S 
`  c1ǘJs5vf2    m
0l)ьwCb غd])\f$ 0D)LH&$S    d]1F$cv` 0A1 ȸ 0@0t `z0@0mLA( 	   
 D
   ?   \  ReqdShearArea TensileForce ShearStress ReqdBoltArea BoltDiameter Math sqrt correct_answer % Formula  TensileForce ShearStress a       <      <	    	 !	@-DT     R<  ?    n   P       Formula =   ř0}p    ' ŏǈ35Ɂ ) ŏǈ35ߊ ' Z-bfgph	 ) Z-bf} ' p8x35+} ) p8x35" , @'S<`  **`  @'  V  @'k  @ ?    d   d       Formula =   @ ?    x   <       Formula =   @ ?       U       Formula =   @ ?    Z   d       Formula =   @ ?    }   K       Formula =   @ ?    i   2       Formula =   @ ?    K   _       Formula =   @ ?    s   7       Formula =   @ ?    i   i       Formula =   @   	     D
   ?       &  @  problem @  ?       6  @   problem @  ?       6  @ problem @      >  
i @   set3 ?~u   p #  0  ۾يI   6q ^ֳ( ٻ OA( ȃ1 @pՁ 1 fVԂ0  6D OA  )F 5i   %) ,	N    7$~S-   =g xJQ6  ,4 /DkRM   (R 3:K  6 %mK  2 +]Q  > 6tIDZ  J+ N IB  J# N/uD  Fq [VB(  FD O ɻ鿱  ,	mT  ơ/\=o\/  ƿl3oD6 ɻ O(  F鿵  FD鿱p  1)D,	i,"   1;<1NP N ʿ̝i4- 1鿞p  5)m8-  D,	oD5 WL`  5!iL9  jk/Z0` < Ak45  v֤B  xo\-  q a+!b&    ̑</A iPA  Mg,xN`  5'Uo?  UgÇAo$@  $x@  Q$JT ÇAKv "S@  tO	L 	ic`$  Z}b5| 
	'+ue   eoON2 ] 1:b( #AOL [= E<bV @ cVbY ] A:bV  8Rb  4R A:RT  Yg|dN, *7Ro  UgÇAp`  6 A<2K ]R   XlR^ :. )]b\  8RbM`  4R A:Rf  : M5nRg <Z¥Q\  DȢ|bNp ]Rp  ]R2  @ 5]K  B 5_Q6 cy *,  9E 7^b( :. 5]b(  FȢ?bNp :.Ȣ|Q\  > 3]R  :.ڢ|R0 :.ڢ|QĀ  >Ǡ 3_Q~  R|;@  NU.   Z>=x;@  PQ.  #ȂhP   H 6F  H >iQD+ "ʀP  R *B  Xc FFc +#Ǝ5Q   7[ @lֲM 黱 @OͰ +qږX  &D @OM  )b ?Yj<݀  !) ,	iP  " 3*ZV9  9g xh  , +OZ"<  (R 1:YA  6 !}CYA  0 )]YG  < &g=   8 >f8   @ 9lh  N .)fU  N *ag:   ,	l݀ z4Ll p`NZ=` #jm yZpB O! ]ET ƀ˵IjP   -)4,	jH   Mix   &*
 I*qJ0  b)H I*qJ0F}  6 YJN kA(]= B +*Z kA(]= P '*  Q2rL d  Q2rLCŪy| AV*  Rg .|{ 9 Tت ĿçV+  }V*    f\@  X Sb  Db  P Sjb ż 4V,1o ^ Ieج  l+,  2։|;  X {>[+<`  xl   Igxit   0 A3TZ,> c O5;[l= [ _;[a?@ 4,	l  1)k Ia--  i  ű #7  TP]T<@  X!qV<@ ] 1:[o=  I IL_[C . Gl[B  :. )][A  r qbXxL )yD K6r,X`J 78\XQI  1)l   QgۇAl  xm ۇAh  eX Zb>@  =O"i  J*qiu  chqa%, zW3"^  R 2`,   V PX7J  2R =:Z-> ]ZE   8 9IZC@  mL lK QgۇAma  4[ZA  ?ʨZ6A@  id!i  0R ;:ZCC  cZIE  ;Ai
  \	 ?;g[C` 2 7g[H } ^n 4m 5d[H  >Ȩ[E   @̢|[I  4R[E   L)ytL   5 q  > 1eQZC   @ /i	YH LYI SxYI`  >Ԁ )q@Z K`  : /]ZF F >o	 ]ZIE  ]Z(H :.ޢ|Z'H :.ޢ|ZL  Hց2[J   H F=g}!  HP J8g;  z N2}o1;  [ 
 nuoE6 q NBo1;  YYN` &·iYO`  #g9  ^YQ  V Ų  Vø I
  T!E  J&n( 
` .qoqU  X6*y.   hq6X$  NûGŸ Fh-4   NMn?  A .oqU  P?%n?  !af  I!Յ% =GH 98XLX lсYP  &։oy7 _ue5F _g!V  MgT ydYT@  cgP    VU\` )ygG kcgR  Pڸ 9k  P PYU  U5  HVH  R7^  X R[\   Tjx   j-n^  tʞ%% =gEn &Y[  =Gz ՞  FûG  zՇ Qr[] 
] "ߩor  
 op )yo    >Y    *`W dK˩r` ʵճ䁠 R -5   ;N  - w 
  'b   +l  P,E  T SYb@  RƆVm \ Ikq  %%"  y PYb   R QT[\  AʊŽ0  Z] 5  Fø 9X  f YX[c`  B *։n   R YE[h  : BnE   @Z W2F[m  2 +][sq  . E+[rr   (R 3:[Nu@  =g xm5Հ  =g xl   %) ,	l  %) ,	k   6D O^ ٻ Oޘ ٻ Op  ,	i  xi   xiՀ s 7)ZCu` ] 3:Zq T 1AZq :. )]Zm  6W )bNZ m  F >g  d >#g  &։gq   %%@   *}oq   b N0jG Q e?}O  bǖ jGć[  2F,"  }OЈX  6,!i ć[ԓcu :ag% $ \?uf  P Tu(  'v[f  d bDo)   VûG   NLfы   N)yg ˮ |Sf* 1<UHj  Lø 9F  o k15   } :{ 1]&Yh  Ng   H|؀^Yi`  Hg}   J# FGn墀   4} Z;\Fn᱀  Js J9nͽ 	U֞ ӿƮ Fo  *։a  6b  N0ua5  R@K`ٯ   Na   R)yay   vSk  F *։,y  fo Gob  @ F  >Q 5YWbn!  6 -]bF  ,R 7:bF$  ,R 7:bP  Ag xX`  Ag x  )),	|  )),	   6D @Oi
  6D @OYʪ ٻ @OY ٻ @OJj ,	  ,	  x  xޝ` ] 7:`'P ] 7:` @ /V`$ :. -]``! &J 'yT`_ F Fb   V7 D*y  ƻƮ  rA QԓcFgAo5ʀ l@pXV  :
ȰZs   >ʨYo  @̢|Zu   H J.n   @ 3ca[t 	JQn=  @ 5][o :.Ң|[v ŵo  9 iتD Qڜo ڙؤ b>ڜo:.|[r` ./[x  QԵ  h}  cʱ[Xw  ?Ψ3[Xw`  6L ?=_[fy   8 =E[t zLO[m{   4Q,Zt  2șZ8w   IgAh   4RZ-y`  MCۑ5h  'O]l vG Al ][x` n[u}   NF[@}   T wXJ b>ڜo I;뎭i  -)i  BŸ 7]d[@~  T?m!  ,	je   6D Op ٻ쿱(  5쿹_( ٻ쿱  k  #k  k   SsSk%  ~A[} ` J%  J \  Lau   L8`  Bȧ`M $-ȃ3bu  9؉   MgۇAiy  -!%iq   -$yjY   6D쿱   ΀ _hb(  L' R'Ɋ    	b)H K+e?o 3 Ub)8 }Oh 1)jI  5ɱ?֤  G1꿜_ ɻ?  Aʁ`  IadP   2   oH
[@  l ז`[B  KAm  ٧6` yɣ   D 7]b  LaH 3 黱`0 :.|bH 2Ԙb"  lӑ"`Y"  BĀʤ`%H ;ƤwbMH  D 7_bV% 5̜bMP  DȢ|`x  6k`w 4`ba& :.Т|b\&H  8R E:bU  6R`%@  6` ]b' ^ƶb'  8> E:b#(X i4b& ]b' ]ba f3̦b*X  8R`h  Qѧˏ  QgۇA   Qkۉ] !ˉi ۇA CA ]Sc}@  2m I,b"`  QgˇA`  U4~ه@ ge  Y   i}e   Fm  f;Q @ J QЈX Bxb f;P > b |N.b> F W |N.b> 2 b f=%Q2 4 QN f=%Q2 @ G(kA( . G(kA( @ +  Ph &,z e?}O )(  K+e? ,z e?~M 6,# ~MhTL/ʮ ]`  !)Ȭ ى   @ Tz G(f=% &9` G(f=% 	T G(c<$ T  G+b?( &#ӐiOVj ss~~ ,&{iL hhxtt ,iL hhxtt     :6U9` xJ.Z8 :yiUX< vM2^> BɥeNX Z8vK B
iYX< ^>~T @uNX vKР ^ .9` Z8P V /Fa9` xJ.f; P XVd Z8P Z ,v9` vKh 1)  1&;ф  1@  1)  ɻ?Y  FD?I  FD?I*  FD?Y 3 aC#]ޭ ɻ?iʶ ɻ?Y  qͿZ* 2az+ qϘY$  W.q?I*  6,  I*e? ,ͥINX c<$|N. B iU xJ.f; 2 iRS c<$|N. " Wb ~MР Ջ  e?Q ,# ~MР @ C9` vKР ز I*jB qb; e?Q ZYD H*jB (ѥHNX c<$xJ. (! b?(vM2 	 /٥NX Q @ SVՃ ~T  X jBɋ] iNX Q Q9` H*tN  X jBɋ] fQ9` H*tN  	c_  131    iIV [[hiiy dfrNiHV [[hiiy zdiD NNZ[[i _|iD NNZ[[iԋ@`Ɩ}` xx~~ &_ ww}}3{ <mi_ ssxx4 4l_p rrww& Ls_x jjyss( Lr_P iixrr DY_0 \\jiix <	_0 NNY]]jS <_ MMY\\j 4u_ 99AMMY u^ --399A 	^ --399A ,,2 T}奪^0 !!&**0_ T{	^0 !!&**0 ӄ] !!&007 118 33: .liAW BBLOOZ ĚPBi@ BBLOOZPPBBi> 44<BBLBqc 44<BBL 229 +ӆ٥] !!&007 ++1
 4_ 99ANNY D{I_X ]]jjjy P)qhx &&,55< *@ $/  ^ [Jm   ` 0i; &&,55<RSwX xPuVw zϷ)iC  ` z /2@ z /   @ -+ R ii U  ZbVb  ?v  VO  Z pz  	 hQ  _  %&`  1  \1  0   P/!  @  V N-:#  l޷h0pH  d" r5
 r8
 nܷH^pH  X p   	  Z p	   1  1  _  `12d@ _ N l޷h-pI  EdB z  Zq-:g  @ 3 5«t p5
   q/f  nݷh]pI  *@ }1   VQOV   p VU  ~  c _ N _  1GN  7ઘ  /e T H-: (F\.
 t;7
 r8'
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` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p ȋ u0 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0    oc1ÐC t02.%bf 0D)싶R    c)w v `S91LdXxغ[ "LvER  vt0E "   t0?1 " ĆE0 fKǊ@ x  Ā`E    n@91@&$c`l]J-;S rc.
g&;"2    V_1@&$c`l]J-ȶESǈS 
`   c1@ f 	   	@LH&;b c);St 0=   0    m
c1hf2b(t0?1@t `  d]-PȶEۃt `S91LdX!ME.
` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p ȋ u0 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0 h   oc1ÐC t02.%bf 0D)싶R    c)w v `S91LdXxغ[ "LvER  vt0E "   t0?1 " ĆE0 fKǊ@ x  Ā`E    n@91@&$c`l]J-;S rc.
g&;"2    V_1@&$c`l]J-ȶESǈS 
`  c1@ f     	@LH&;b c);St 0=   0    m
c1hf2b(t0?1@t `  d]-PȶEۃt `S91LdX!ME.
` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p ȋ u0 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0     oc1ÐC t02.%bf 0D)싶R    c)w v `S91LdXxغ[ "LvER  vt0E "   t0?1 " ĆE0 fKǊ@ x  Ā`E    n@91@&$c`l]J-;S rc.
g&;"2    V_1@&$c`l]J-ȶESǈS 
`  c1@ f    	@LH&;b c);St 0=   0    m
c1hf2b(t0?1@t `  d]-PȶEۃt `S91LdX!ME.
` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p zj 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0     oc1ÐC t02.%bf 0D)싶R  ǈS:@"   S91LdXxغ[ "LvER  vt0E "C)  02.    pbC"b Хc  <R `fb@0"LpRɎغ 0A1#FbQl `  nd]1ژt `S91mh   `V_1@&$c`l]J-   
E.ژ<B `S   c1C@ `f 0 &[t `  	SF1LFغjb ES `S   c1hf2   m
jb6.d[l] "Lvwl]C"nF!Ll]2.`   !SE !m4B `~c"Lvxغ[@ et `x^6.CB < 0   |>J 
hF$cwl] ov Y0 0>J% 2    p ȋ u0 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0     oc1ÐC t02.%bf 0D)싶R    c)w v `S91LdXxغ[ "LvER  vt0E "   t0?1 " ĆE0 fKǊ@ x  Ā`E    n@91@&$c`l]J-;S rc.
g&;"2    V_1@&$c`l]J-ȶESǈS 
`  "c1@ f '   	@LH&;b c);St 0=   0    m
c1hf2b(t0?1@t `  d]-PȶEۃt `S91LdX!ME.
` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p ȋ u0 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0     oc1ÐC t02.%bf 0D)싶R    c)w v `S91LdXxغ[ "LvER  vt0E "   t0?1 " ĆE0 fKǊ@ x  Ā`E    n@91@&$c`l]J-;S rc.
g&;"2    V_1@&$c`l]J-ȶESǈS 
`  c1@ f    	@LH&;b c);St 0=   0    m
"c1hf2b(t0?1@t `  d]-PȶEۃt `S91LdX!ME.
` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p ȋ u0 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0     oc1ÐC t02.%bf 0D)싶R    c)w v `S91LdXxغ[ "LvER  vt0E "   t0?1 " ĆE0 fKǊ@ x  Ā`E    n@91@&$c`l]J-;S rc.
g&;"2    V_1@&$c`l]J-ȶESǈS 
`  "c1@ f    	@LH&;b c);St 0=   0    m
"c1hf2b(t0?1@t `  d]-PȶEۃt `S91LdX!ME.
` `@91@   x^6.P Y~l] E 01@  lSB1#싸d[b Ȼ~c1 q8P( 0= w     p zj 
 fV_1@&$c`l]J-0K ~c1M
Xb驈 `@@0     oc1ÐC t02.%bf 0D)싶R  ǈS:@"   S91LdXxغ[ "LvER  vt0E "C)  02.    pbC"b Хc  <R `fb@0"LpRɎغ 0A1#FbQl `  nd]1ژt `S91mh   `V_1@&$c`l]J-   
E.ژ<B `S   c1C@ `f 0 &[t `  	SF1LFغjb ES `S   c1pSf2   m
jb6.d[l] "Lvwl]C"nF!Ll]2.`   !SE !m4B `~c"Lvxغ[@ et `x^6.CB < 0   |>J 
hF$cwl] ov Y0 0>J% 2 	_   
 D
   ?   S  Moment pulleyRadius suspendedLoad ForceOnKey shaftDia ShearStress correct_answer 0 Formula  shaftDia pulleyRadius suspendedLoad D    <       <  <   <  ?$      K          Formula =   `m        @'>   @'J ' uh     ) u3(h    
  al  9f# @ ?$      K          Formula =   @ ?$      A          Formula =   @ ?$      2          Formula =   @ ?$          
       Formula =   @ ?$      d   2       Formula =   @ ?$      K   
       Formula =   @ ?$      2          Formula =   @ ?$      K          Formula =   @ ?$      d          Formula =   @   ?Q   wӀn g$U1Hx$ ???]]]nQ+p \\\ttt/,Gy@ rrr{hEj iC@P sss	+U@ ]]]sss UA BBB]]] oh}_  BBB^^^
i|T+h \\\tttzkM rrrj$"w8 g,THx$ ???]]]iDT)ku  @@@___sOj  ]]]wwwngRj  ]]]wwwm7Rf=` ___yyyg4Tku  @@@___f<UE9@ AAA```iGTAf=@ ___yyyoQE wwwr	d4H www[Ki| tttW:ix tttMh7 ^^^uuuSh  uuuqVP io#h  uuue4U V@ AAA```#h7 ^^^uuuGki
k  ```www e6u  CCC``` Qh}_  BBB^^^V{
.Yhd  [K~^ www 'b ( RG	<>>S  3zF| yyym^@ www&ww,N=` XC4rw
I๭$( os1r  ΍bݓcF4kd ˉ^ݓc @ qǀ ;0)jN; 7  njEF ;/(hL9 @ Za  hL9fIgkLU V` AAAbbbi\T] V` AAAbbblRՍZ ```{{{mR]Z ```{{{~L@P2x  ۓdoy *bZ  ~Xۓdq 5ڍ!  fI~X)4 A\  hJZ-|@.  ZcL@pQ@ cnjSc` yyyb
L/g@ yyy"{DLh XC4pTt]UH [C4wTl]H [C4w]y%ra cH7xk
k  ```wwwS4 aaayyy 'X@ CCCaaa U6u  CCC``` &4Ҁ jN;hJ p",$P orLf o` pwn`k~ rw@H0!F2  N	BQtq  ؟ˌi " zzZś1y2!x x{<l@PSh~ ox/2A'H nvcj sxC@- txTLce3 t{Iv` qQrPʳ$hk(
 qQrP1jh/ qQrP qQsRL(qX0h v{m#ӡE@| yyyE/ qQsRf3kۉ' qQsR]}i#ra  cH7x?` 7r  mM9xkS4 aaayyy;D*H bbb{{{ zbc) `f rc'p ۜnp_Q' {{{ c  vzQ y~ ېaݓca<ݯ  ܍^ߏ_ S _]k{      D o`knȮ u    x?  ΍bېa  waIk_ `  y   ; iakn u      uack_ `  y   dɁ ObkO  J  d   wyAzrB  w{	t	 v{fvp v{ Q _Zk{      İ \%k      Ė \k     0ҖkJH J  N    u]k       u]k     G@Wh@     kI  ܍^`$7kJV ܍^ݖg	c|@fƺ@     lC!TR      ޔe'2ZukJ ܕfݖg6 y  `ݖga - ܒcߖft'!O     #6rh䈀     #Fri     #>r      #?r      $ȄYrGQ iJnL)dg#1 oNtR  1$- gHnL K .& aEoN%~ zrA  [BX#$- |r>B  }X@ؐb+* s}r>B }X@j'; [vr9By  YAm+T BVr+?  xT>q=g20rb  mM9v)I L.r+= xT>v#8 _r2Z YAq5Vӊ> mqSpw"'  qx=HȌ qx UX@ CCCaaa sɨQ, CCCbbb ^.c+8 lO`!_ݫ/H xz
g
@ݪ1@ sn|@ɫ[+  vzG  rQrO  <V qQpN-`jK rQrO	3@ rQsQYuͭ nMqP qP0ЕLkn L  Q  WyQP iIqQ-1 kJqQILk nMqQ"Z@j vxD֚؀ hK~W+ O 	 YAmK @ }X@jk l$6* [Bؐb!~YȦd iqrtOU93( yz"ګk n  {  (qk m  z  JkO m  z  iô97 n  z   y   ^ʑ IcykOH J  d  "lr;B  jm'%zr@Bπ ؐbj#%xr.;  ۑbi >	c, dJlO K涺c sWBdJ 4̵*j tT?bG qQ qP*Jj rQrP%/ rQrP v}j Yf2vbjɲ ۜnp Ʈ+,j gJYy?D ܒcߖf z   ~~)jz bGgJO&RrC  Xؐb  +L  aEX3 9М@ gHnLq%arFC  oNXo&|r5y  sQZK&Xr2[  Zۑbg	U51 s]	YER3 t~
|KS3 t(	rᬣ8X {	삩8 oNtR%;̾` y} { |{&8p ~W٧-%8` ~W٢q= XSX@ |UI1ɷ p  {   x   c  #Lrid e  ~  #Krc  b  {   a  #YrCӀ {    #MrCҀ     	[lB n  {  ]aE[ J  N   M   #?  ri  D  H  ""rhğ H  Q   #?  r C  G  #[r G  O  #4BkN x{ y'h@wkё  tx.?"kP tx-	pE8` {EX>Qkb zMߣ}F0 yU~WRڰT׀ hK~W	Km,V/! wS~WvM'ke z渌 zG\u;k zؐ Vk zؐ7!X@ |U8$kxP |T]~Cp |Td<k yR#Gri$      #UriD  ~    #Xr  [  _  "ri \  b  #[rC߀ O  [  #5rid  Q  \  m}Kx wSX	O
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 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  	Nf`f8 Jvf2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `8 (| f2    	6t6.d[l] "Lvwl]C"nFL  m
S91LdX!ME.
` `@91@&# e    h^U  
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  	Nf`f8 Jvf2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `8 (| f2    	6t6.d[l] "Lv  m
d]-PȶEۃt `S91LdX!ME.
`   t0?1H&;b t0?1    h^U  
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  	Nf`f8 Jvf2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `8 (| f2    	6t6.d[l] "Lv  m
d]-PȶEۃt `S91LdX!ME.
`   t0?1H&;b t0?1    h"UR 
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  Nf`8xf2 
&;b   njb:oRu 0@0t `b:CB    	6t `8 (| f2    	6t6.d[l] "Lvwl]C"nF   m
S91LdX!ME.
` `@91@&# e    h^U  
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  Nf`8xf2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `8 (| f2    	6t6.d[l] "Lv  m
d]-PȶEۃt `S91LdX!ME.
`   t0?1H&;b t0?1    h"UR 
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  Nf`8xf2 
&;b   njb:oRu 0@0t `b:CB    	6t `f8 (| f2    	6t6.d[l] "Lvwl]C"nF   m
S91LdX!ME.
` `@91@&# e    h^U  
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  
Nf`&8y `x^%;@f2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `8 (| f2    	6t6.d[l] "Lv  m
d]-PȶEۃt `S91LdX!ME.
`   t0?1H&;b t0?1    h^U  
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  Nf`8a< 0</f2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `8 (| f2    	6t6.d[l] "Lv  m
d]-PȶEۃt `S91LdX!ME.
`   t0?1H&;b t0?1    h^U  
 fV_1@	ExغC2.ߘL@42. 0   ohR0vB) ``?10  SF1٘B) غjb " " l]?1Άb   	n;@0!m
Vv 0  	Nf`f8 Jvf2    nV_1@#v(l]E PȰ `@91@   b:CB  	6t `&8 (| f2    	6t6.d[l] "Lv  m
d]-PȶEۃt `S91LdX!ME.
`   t0?1H&;b t0?1 	Z   
 D
   ?   H  PinArea PinDiameter ShearArea ShearStress TensileForce correct_answer % Formula  TensileFOrce PinDiameter K   !?-DT <	     <     <  ?              Formula =   hشlU@  pb  ' 33f$rJ` ) 33f$ro  ' If$Hb'( ) If$HYY 
 , @'[EN , @'M\    Y   @N   @ ?       
       Formula =   @ ?       
       Formula =   @ ?    2          Formula =   @ ?    #          Formula =   @ ?              Formula =   @ ?    
          Formula =   @ ?#    -     @        Formula =   @ ?#    2     @        Formula =   @ ?    K          Formula =   @        g&w  < Y,W%` P 	     D
    (  @   ?X+   p x  	v |  _ _ * g gp p i kk{qq  ?F qqzz idT mm~ss    L  l   ,        33: VO lP  L  l    Q  M  l    !  M  l      M  l   L@p"\w  M  m    q  M  m  [@50[V| q    {jk8 l  s      M  m    Q  M  m   @!pw  M  n  V&q mL  M  n      N  n    !  N  n      M  m  D >  m  t  D >  m  t  h  t  HHD >  m  t  gojHJ m  u  mPjHL m  u  D >  l  r  D >  l  r  ~۬|jd6 l  s  D >  l  s  D b>  n  u  D >  n  u  D 2>  l  r  h  r  22    rr ssh  s  == |@ f#*  [[iyy L 1ʾ` [[iyy @r؋ ww@=P""  қp@ 3lˏe` DVi4 zzh  t  LLvBjK t  LLAjK  t  HHh  u  UUh  r  66F)1@LZ r  99cG<jo, r  998H:jh r  66AjxK s  ==mq@'Z  t  QQ`W;j0 u  UUFjK t  QQ;@ 00HHz2j_F r  22  @ V>  ``o @p 65j __m~~ @ f,J  ]]k||$ˆ  b bj j   @ V0 ccr Z1 @ Z eet @ fT ffun Bk̸  x A R ffu W @ Zג ggw L@ 6你 ggw]o	 q2  kf  58X  ӄ  U A8`  @@ 4g @@ $g ʜmj* $ϒjR 58j& lQRD 55UU4 KjN V E"8` q @Cڡ1 * Kj̸  @ v0 ccr \ A` ``o&q 5X ~~    \ I` ]]k|| CL -\` __m~~T51 #Ռ ||V Y ||fq @]l ~~ \ 91/x eett} (s0  n @;Z1  q @-0     IQ8` 1 @-X ww|@-#,K5 yy壱 @?ذ yy vv vv f[  ''22 ttL@"V  ,,==*Jpfi` **99((QE  **99ѩE8 ))66 xV[  ))666¿Bi@ ''22 Z %%//<}P ..'' Vb$ <@?4,;  _b [5@ApSf5  	w .cS8 I
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غ٤GӬ9EB7d8t[moolCහmnVl\jOm:.z1s|W6v {95Dp 8A	(mЀ!!J-Ա7?F +bGh+QL	D	5 b B}gGjHg٣@hJݪBVjWDm٪_hD)M`Aag#> _?" [nXK!]Ԣ6+Ԡ%| @V?vz6L!	õA"6U+S>ڈjz!	nqڠA[|j0[hp7i A!ڤ;
ZdA6Іڤ*Zeaڝg
	QxA(xOZ4N:B;TpNq0&GjK&h+T_)ݷ "o@ "?$<Tp"!SJUi "E6x!˂5g[♝!<S/v@^KeD!E<NBv1c;8o
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vxn^Pڐe8Ug`,I2c0耂e|       e  _;+6QOt],aۥc`9<cYuk͠O,?#kDivi}!9x^>^βj%].̴: -JE[H)i-rA'd.q'Xz|_h2Yv֥m D΄=v#JP Dyѵ
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H[6ҏ9m#ߤzOM-Z,;ǘJ׼`\D;F흸F⋼.գ'1Epa0w㬟+<qϴ>yNH[tN6s[s+q,mrӞe]@!UasWMgHcSJ=|X_8m<3yshQ| C    p   ` 3ff SB4|      %Ƙ/Qh.J-۞\@*DMz  ;    ]" < f 3%z>Y{U,,KZI?Ui	P  )    q><     %9)@h$ۉ     P	 	 ~ $    ` 	      K%' ?   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t (   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`8Q `x^%;Cϒf2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( ?   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t P   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`8y `x^%;Cϒf2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( ?   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t (   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`&8y `x^%;Cϒf2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( ?   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t (   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`8a `x^%;Cϒf2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( A   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t (   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`8a< 0</g@f2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( ?   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t <   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`F8Q `x^%;Cϒf2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( ?   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t P   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`8Q `x^%;Cϒf2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( A   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t P   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`8i< 0</g@f2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( A   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t P   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`f8@( 0</g@f2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( A   h>W  
 fV_D &#	غS pȶ  ohR0vB) غjb `3`@6.   n;=ow#b!L e 0 Lv z0E "E2-t P   c1@f 0:#v(l]E Pȱ(   nLw?1@&#	غ 0:"f$c`@ x    d]"ьx&$@@;S rc.   	`E 틨dX	`b6.0  m
SF1٘B) غjb " " `C"v   V_`&8< 0</g@f2    8_)C") غ 0E 틠"9lغE.   lS91LdX!ME.
` `l]2.Lp   fb@0H( 	   
 D
   ?   B  ForcePerBolt Torque BoltArea BoltDia ShearStress correct_answer  Formula  BoltDia Torque `                 < !?-DT <   <  ?              Formula =   u     &@      LDܷ`    &@      L@,`    &@    f0 	  Ŝ^/*#GƆ        V`    &@         @NVl     @M{  k   @ n @ ?#      @           Formula =   @ ?#      @           Formula =   @ ?#    @#       Formula =   @ ?#      
@           Formula =   @ ?              Formula =   @ ?       
       Formula =   @ ?#    ff@ffff       Formula =   @ ?       2       Formula =   @ ?#      @    #       Formula =   @   	     D
   ?       &  @  problem @  ?       6  @   problem @  ?       6  @  problem @      >  
i @   set2 ?$   p h  qCFVŮ  m11w77k +kir j00==61F  m11w77r 7k PP[ ^r /   PP\_ )) =l)h ڟ 9)  Kr   QQ])h  !)x  V2 (  RR^)h UT\W$ {
& RR^ٿl 1H    $,   h   qr [   h   $,鯉   i   bo+ikش j00== ``` S 7l PP[  Y܀P[   i   #l   i   Y܄X[   i   "E   i   Y܈`[   i  T[d @    LkF   Td @    Hr    d 
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ӄ&hk OOlǈȃDuy;ўBqj<õ)֡8a4WZaw/õ]iyYau$}&7!Nù2=vl	չykh|jV۶#LNȎƮ6"tor^Dނ-1b;^*~퇁ڴRgk1u,s6"Ց&r}%Suosߧ.p&"->qiؼP@e      ? .Mz]ȉP_\(}-x*EZRP oHL~lP [(?}Y_n7V8-xZ9l{     ? ==I?  әsˑ)ouKIgQwQfܘ$z%[
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 f6t6.d[l] "Lvw$t02.ތ Хl] p   oS6.)  `L1 q rc.FE2,@ $    `&" 	  `xt` $    `&" 	  `xt` $    `" 	  `xt` $    `	" 	  `xt` $    `" 	  `xt` 	   
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   ~@[ p    Dj @M(1  yJ }  MX@B }  MX@S@ }  M@1  |@kM    &  M@B  ,
 .	 }  F.(  p    ~@[ p    ~@[S p     %   @\` 	MEc    @A v7$E 6hoc  /@+ 	Uda || )@{ ||Q %{ c    ׿MPt jjz{MO0n@ 2MLh 
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rjLf __ Wj VVE j VVM@ MMG jv MM dZ  EE@M) @M) @+: @M)  MXA  ~|@kn y  hh~@[Ɛ i  y  LTv i  q  LTv i  q  ~@[ i  y  0؄\cQ2 y  hh$TcP4 x  __ Xqv  x  __*E&.  h  y  |@k x  VVв2OcM6 x  VV   Mc@ _    Mc  _    U e{7 _    (f.  h  y  a D  h  q  LTw h  q  ~@[ h  x  MXÀ ~Mc _    Mc܀ _    ~@[S h  x  $$v.  g  x  LTwS h  q  _Yx w  MM&M.  g  x  ӈB<cN9 w  MM '  MXA@ ~ (   ,yk` ^    _ m{b< g  q  ]9pF`  }@ >l  || @ lmjBQ 5&j%4 Dj Ѭ ||6@ {{~~ r0rF8 {{~~ {{MJI a ԙ|<  +l   @H25@  @kũP  驗=( ccqky|F  KjeѾ aapF] aapA yy|| zzƭj"n yy|| @j ֡B yyMgL0 zrD]u	  @j ( yyMJJ6   @H2@  @ ]Z  |jRT, k﹩|F  fC   P ``n \je2 ``n yya }j_. a ũ|Z  <ڔ MJJ  @H2Հ  @d  xx @j 6j ww ww vv  5+d uuxxS0ii  fuj1V .̷K0j  wwZH  Ije֪ ^^m ᩗZ ^^m dx ]]ka ՙ|d a -j_  @Ѩ{d tt uuMJJ@  @H3%  q #@ ZO  k  s   v%`  N@ V@ k  r  @M++   +%8mc x  t d k  o   ^@ 6  c  k   1  ? c  k  /j$ ttT޷Isj0&  1 #@ O  k  s     M k  q   j   q @ Zy&?  d  k     Z> c  k     Zf@  f  k  M*;&@ `  o  U 'iQ _  o   1  ZJ  k  o  d Vd d  k   P@p V` g  k     I i  m  Mc#  Y  |    ZN  k  s  ݗ l  ~{K _  m  C& _  m  ~@-6 _  l  M*;F _  o  ~@-F _  l  |@59 l  |- j  k  {PJɦg l  |6GiY2 l  ~\i" |  @@<@ |  Mc2 Y  |  ~@`;9 x  |  ~@`;)  x  |  MXC9 x  y<5e x  McB Y  |  [ i|hH Y  |  "j w  |  ~@`;J w  |  +i@ w  xUYe   pg0   $Tai   q(g {  @M+N@   婓ix   $m   
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 ll|xxÿ+ 1|z jjzwwHgJ jjzppſ 8VJ$@ [[i  k " ۷iph  nn~vw4K\D:+ Pp  nn~p2p jjzpp}j5 P &oDb+@ բq.  9wJT BDJT ~TDBT \>rR kk{pJ kk{Ŀ |z jjzwwſ  [[i  k q?K h yR`     m/c%2'J     
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a( rc.   hR"
h0r!LغhR ;" `d]"L `fb2.`   nL1 CB  cGC  @ fn2 ΆRu|:틠RɎغ 0   ~c0!oEр @C"Q
h0 031pȰ B`a2 	  
 D
   ?`    Formula  F1 F2 F3 Area B   correct_answer  F1 	     F2 G	     F3 G  Area  ?-   & 	@<       Formula =   ŀ1,    '  [Ȑ )  [  ' E ,`	 ) E A ' E ,` ) E A ' E s  ) E  ' E s  ) E S '  e  )  P  '  e  )  P       p@'Rh       p@'S:h       p@'S9h      - +    @'_  ,    @'sA-    @'Bƪ.    @'sB/    @'!b0    @'sC1    @'+2  @ - . / ?-   & 	@Z   j    Formula =     @'_  )    @'sA*    @'6V+   @'sB,    @'!b@  + , 0 1 ?-   & 	@(       Formula = $    @'_  %    @'sA&    @'Bƪ'    @'sB(    @'!b)   @'sC*   @'+@ & ' ( ) * ?-   & 	@Z   j    Formula =     @'_       @'sA!    @'Bƪ"    @'sB#    @'!b$   @'sC%    @'!c@    ! " # $ % ?-   &   @    <       Formula = *    @'_  ,    @'sA-    @'Bƪ.    @'sB/    @'!b0    @'sC1    @'+2  @ 0 1 ?-   &   @    K   j    Formula =     @'_  *   @'sA+    @'6V,   @'sB-   @'!b.    @'sC/    @'!c@ , - . / ?-   &   @    Z       Formula =        @'sA!    @'Bƪ(    @'sB)    @'!b*   @'sC+   @'+@ * + ?-   &   @    K   j    Formula =      !    @'6V&    @'sB'    @'!b(   @'sC)   @'!c@    ! 2 ?-   & ff?ffffK       Formula = "    @'_  $    @'sA%    @'Bƪ(  )    @'+*  @ & ' ( ) ?-   & ff?ffffZ       Formula =     @'_       @'sA!    @'6V"   @'sB#    @'!b$   @'sC%   @'!c@   ?%  p   mdꪏh  p33;; kh I  \))C䵷ţ_ p33;;  bN@ ..4	 <I ..5l @ Kޥ X ӿ"   <t  //6|;u)` ,;t)` }'@ //6 4 )` =g2r   <t  //6 <t  //6 <I ..5 &h I  \))lE HHRyy  K2P  HHRiiy[jb"x iiy||+sN ||kɈ:͠ N؈Kh { Uܦ G bb$.P N+h l+ @c0 Nڥ   S N   !rb   Я` m@Zs6 -r  l:  ..4V 6#j  O 5FTr"p  CO FTr  O 3FTrB|  MO FTr Gg 2r  O /FTr WO FTrb  O\ :r  O -FTr  K 'Jr⡀   r ..5aO FTr  [g 2rb 	 3`` ..5r *'b,   rt" //6
؋ ,
X t %r  0ܝн  2ܴ` //6#  r⥀ //6O,
X ̀
؋ H
؋ z 2`` //6OL
X Q _s   2` //6 2`` //6뚱 @$  s# Js9  R Xs9  Ѭ
X aL Qދ g2r  RcCrƀ g{2r  J{lLa?n = Yrbۀ gQ2r z{LaZ b{LaM ?ܶ@ C{ Vs<@ @\@  5 wܶp  ?ܞ@@ D <rB m@X ch m@Z6 2v| U18# Βr7  m@\(͠ @\  @\@ scl ݄sw @\ jn c s| hc?x mm}-Rjj qq sC KKWqqy2P v IITmm}-0jcx mm}sȃ @\π Ь@&0Qg'r3 @\  #	 A 4 {< 5} s@ @\ {ӳ>~ {C0 @\ 
{cLr @\@  @@  Th zzWP !r9 @\P  &{Yf >l T9 Gb?x qqnfk\O tt^p?x tt0 j9 0fr# ww1 = OOZwwMrP  MMYtt2 vC MMYtt{ <T] MMYwwc  k]Qx MMYuu 0 1JrDY   . /JrdM   , -Jr@  *Q -FTr4  * +Jr4 I 2  PP\vv#  r$, PP\ss V@  PP\xxWOLrd& eg0Xr gXr gXr z{Z {g| / s= d dh ||@   w3= || @H ||k@` ||D̿ 	m\ ||/U sD RR^||ܿT !YB RR^||/Y s6D RR_|| 2 3dB RR_ll} 9dB RR^iix -bB RR^ll}<d !XB RR^||d 	[h xx(Ld ߏh zz JՐ -dA RR^||o/Y rv$ QQ^zzn2Ր w'bA QQ^zz 3  QQ^ssl;ؐ QQ^ppb{M gpXr J{? gZXr$ GgXr:   -bB RR^pp[g"Xrd$  MOBr2  QgXr$/  CO6r=  O/  i IITmm}\oE IITyy  ix IITxxlE HHRyyb2P v KKWqqrE KKWxx  jx KKWww7O,rdH  .Q 3FTrM   (Q +FTr(  ,Q /FTrA   [TD=8{Oo!ğۦ%v$RlI	e]ؗ!.$%;M	H3$^+L$G%zbHKJ%ĐK!$ @ ^8 <V}v@(\)gr"vDOb>!Ȟy? gzY߽%2!ncȆ;!y(br(QvEP 9ȡu2y*UAAH	C\mR8<#"#XP5rE?V".1y*טU	͆qU7T9s`_G>t_eGAE#fkx";O Ls_l)J$5!ĝ#5=ȿDrB;(g$
Qj<Y	?Χz'u.C9Eĥ
EvGs=)sFdw9;#r'ysȉ;EsAB Ndw9?:/Gr獄+dBeiY3ќCBQeB"!^Agz-ΧQ݁܃A9QxCޖCȉFYN K'_
;0;!i8hCK,1;5?_d4CVS3,F9܇X&zA
 h tˈL@m"h<!"\^WrC (k
F,"ƿrDP~"~lR~"nmNhzY<&n2!h+&b(mPR21\8^(d-,6(ݴw 0y	cLݼ!^"xF_DaV#1܅LAmEr#0P	h*ݯA܅(	Er('p(fk+Q B="`b=lvp䋹QbrO9ѐ9D@{y!9kZIA!yg[B_'hH'k	ΐyqYC<F^zqBqF#a6S`x#~;ݣBoG}[0N#v*'}?m
R8Dv(#Z܄`Z)Gvu BzJh[x BzJLPF[B%n܇/ϛ~rKgo;)XWKh$D)Єc)/#=L/9Ў3z݀dȉ<
_!-[EV+L#v%Pt܇ rrgdI-c	#*iJm~5B[<尕bxKme	i+=e%*I]3voeB](%Z,4(PQ܄v:YH̫bZgGrdQS#4`BXMr,Gi@"%[Q#s^;!KJ	#`C4LxB[H*X;"631sأ
+5T/;}#B&+H	tw!,EU;h-XBX{"%'xg4C礃`c( Ba-UBia^F>аC8zȼrقڜmRp`Ck*uܵڈr⣞iQܝƺ2Y(<XPoXƦvw'b+Ƣܟ@ǊzE;8Ժ;oڨzVBTs^J}KUSs@Ij(	!Uzvdw-;ˆn&7cNLĥPw-6ザ;_ l&s"%?%fKQTK-GRr*ܴZTJr}++\lw-z?<:GrעڝrQ!2*w-+;3rc+Pܟi
u|Hɟ!~pyhCdf.k,HHG52昀IdOv߶jbZlLVg,uؓ<K![n?1Gw]{).GϜ֢+Y専zWn{({ TA7m-ZYa|@M؉43'Bq؇H,/Vh	j
<8Q4n(Nb_+P8Fqy)X0iw9r
QY2ZB3gQDg@sکSGCZ<CX<lsxf186q	)0sVZPEF;9Z42 &j?sfgSzFl
Rנȍ\FsPvWZ^xvMw
	sȵDjB<:,nĸW]sA>j9&2"5miAA/y迗
y*x=JVdGjerա8S,.t<*,n9@<;VO9ѐ79D@MAnl0RI`kd[VkhRÎMA .h dvl!Aրi=tQڰBqMx JV;I80!.c5~ֈBvC,9o;QOc1XQy@      e G}wl 'e<vd{O-g~6> I$$? ==I?  i#m-R#/53Ă;1:OW>rV 3A[H8j~*:ӌPr@  h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cHpf 02.ߘL@    m
cFpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cHpf 02.ߘL@    m
cGpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cGpf 02.ߘL@    m
cFpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cEpf 02.ߘL@    m
cEpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cGpf 02.ߘL@    m
cEpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cIpf 02.ߘL@    m
cGpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	"c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   	h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cGpf 02.ߘL@    m
cIpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   
h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cEpf 02.ߘL@    m
cGpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cHpf 02.ߘL@    m
cEpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	&c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\   h W  
 f0l%" `fb2.`&;"9l`~c1 H	    ojb:f2-tǊ@ ȸB!LS6.HCȻz0    d]"L0 0= #b驈 `fbJ-8  d].  E)[@h  `Nf.qH0d 0   nd]1ژ&, ȻE.
WC2-Kz02.`C   hR"
h0!LغhR 8B$`@91   	
jb:oRuS   cGpf 02.ߘL@    m
cFpf2!m4tХ@:#͋@ ` 0 &[ A   hm ' 0F"  0:"  	c1p!L`2f	 0HD싸  0   @91@<(d] 
h2-uS  A 3hm  2E!  f 0:   4b2.qH Tі\ 	  
 D
   ?   7  AreaAB dAB AreaBC dBC ForceAB sigmaAB correct_answer  Formula  dAB dBC sigmaAB T   !?-DT < !?-DT <   <   ?,   %     ?      ?        Formula =  ff30     ' ř9F@ ) ř9s@ *   @M:;h    	 +   @MYZ;h    
 ?   @NMxh     , @'Y@ @ ?,   % |    ?      ?        Formula =  @ ?,   %     ?      ?        Formula =  @ ?$                Formula =  @ ?,   %   ?  ?        Formula =  @ ?,   % X  33?333333?3333    Formula =  @ ?,   %   ff?ffff33?3333    Formula =  	@ ?(   !     ?           Formula =  
@ ?(   ! %     ?    Formula =  @ ?,   %   ?  ?        Formula =  @   	|    D
   ?       &   problem @  ?       6 @   problem @  ?       6 @   problem @      > 
i @   set1 @   	 
       ?    txtInstructions Enter your answer (without units) in the text box. FrameInSet set1 _totalframes gotoAndStop Indices1 click_series1 problem Indices2 Indices3 checkmark UserResponse  GiveTheCorrectAnswer questionNumDisplay    P  N H       I      R     I *   N     N R y      I *  	 N     N R :      I %  
 N     N R        R    
   series1    6  @ dummy_symbol 	   x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  [ ?C   `dB=@ @<    5 
*<L V5Z@ usUՀDLW2[  	  	1   W1          ( questionNumDisplay 10 
 z@'Ž	l   o!) 1         GiveTheCorrectAnswer Sorry.  The correct value for this problem is 12,345 MPa.    ?tP	4   h ) 3ff        UserResponse 123456.12  ` X   e-mW f  IUotS:;|%A{U8zukv{9x\yfӜ&  	)   D
   ?    @ ?q   0  correct Sound correct_sound attachSound start           @	      R           R     	@ ?u   4  incorrect Sound incorrect_sound attachSound start           @	      R           R  1	lWd@      6   checkmark    >  
i @   set4    >  
i @   set3    >  
i @   set2 	|    D
   ?       &   problem @  ?       6 @   problem @  ?       6 @   problem @       
 set1        %   `	000  f f$=´tP0 "   X{!!M 	 fj|njw "   X{!   	  33j|njw     ]_0Z  f kZz(C_ "   X{!   	 j|njw  &   ` 0 0 ̙  4JpGoi~Z       @)0  @'
f+    @)034  
B   @'
f   @-a   @)034 z(0   @'
f      y 
 FrameInSet Series1_CorrectCounter kips set1 problem correct_answer EvaluateAnswer ksi (C) psi CountTheCorrectResponses       I 2       N N    =        I 2       N N    = B       I -       N N    = 	   @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.   A   \`|<x f3 hqIHxG@
,gn惋O
 (   `2H" 	 333h~Ǌt`~ǌl (    `2H" 	 fh~Ǌt`~ǌl (   !`2H" 	 3h~Ǌt`~ǌl    " x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet   set1   _totalframes NH 
         " @   	 
         ?&    txtInstructions Click <B>continue</B> to proceed to the next series of problems. runningScore You have correctly answered  Series1_CorrectCounter  of the 3 problems in this series.

 In total, you have answered   of the 3 problems correctly.    G G G G G 
   setup_series2    6  @ dummy_symbol    # x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet         !  Series2_CorrectCounter             # 	   $x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  $[   $I&B1      0 	4   %h} ) 3ff        UserResponse 123456.12  %`      3`    >  
i @   set4    >  
i @   set3    >  
i @   set2    > 
i @   set1 i   &qΥ     	  B@2xXrXfv q @hrlhxׂtm~䊒 @ q~~ q~ qbnbrX|t  &J      0 A  '         3`      u             @'O       &I        `      u      ?O    G  click_series1 VariationsPerProblem FrameInSet Series1_CorrectCounter    P       H                                  '  @ V͞  	M   (w\>1 @  3        runningScore 0 out of 10You've answered ser   (@ A4@@               ?L    txtInstructions Enter your answer (without units) in the text box. FrameInSet set2 _totalframes gotoAndStop click_series2 =  click_series2 Indices4 problem Indices5 Indices6 checkmark UserResponse  GiveTheCorrectAnswer questionNumDisplay set1    P  N H       I      R G&     I *   N     	N R y      I *  
 N     	N R :      I %   N     	N R        R     NG 
   series2    6  @ dummy_symbol 	   )x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  )[ 	  	1   *W1          ( questionNumDisplay 10 
 *z@'Ž	l   +o!) 1         GiveTheCorrectAnswer Sorry.  The correct value for this problem is 12,345 MPa.  +  ?tP	4   ,h ) 3ff        UserResponse 123456.12  ,`   6   checkmark    >  
i @   set4    >  
i @   set3    6  
 set2     
i @   set1         -     @)0  @'
f+    @)034  
B   @'
f   @-a   @)034 z(0   @'
f      l  FrameInSet Series2_CorrectCounter MPa set2 problem correct_answer EvaluateAnswer CountTheCorrectResponses       I 2       N N    =        I 2       N N    = B       I -       N N    =   - @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.     . x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet   set2   _totalframes NH 
         . @   	 
         ?  = txtInstructions Click <B>continue</B> to proceed to the next series of problems. TotalCorrect Series1_CorrectCounter Series2_CorrectCounter TotalProblems set1 _totalframes set2 runningScore You have correctly answered   of the 3 problems in this series.

 In total, you have answered   of the   problems correctly.     G  N  NG 	
G G G G G G G 
   setup_series3    6  @ dummy_symbol    / x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet         !  Series3_CorrectCounter             / 	   0x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  0[   $I&B1      0 	4   1h} ) 3ff        UserResponse 123456.12  1`      3`    >  
i @   set4    >  
i @   set3    >  
i @   set2    > 
i @   set1  &J      0 A  2         3`      u             @'O       &I        `      u      ?O    G  click_series2 VariationsPerProblem FrameInSet Series2_CorrectCounter    P       H                                  2  @ V͞  	M   3w\>1 @  3        runningScore 0 out of 10You've answered ser   3@ A4@@               ?^    txtInstructions Enter your answer (without units) in the text box. FrameInSet set3 _totalframes gotoAndStop click_series3 =  click_series3 Indices7 problem Indices8 Indices9 checkmark UserResponse  GiveTheCorrectAnswer questionNumDisplay set1 set2    P  N H       I      R G&     I *   N     	N R y      I *  
 N     	N R :      I %   N     	N R        R     NG  NG 
   series3    6  @ dummy_symbol 	   4x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  4[ 	  	1   5W1          ( questionNumDisplay 10 
 5z@'Ž	l   6o!) 1         GiveTheCorrectAnswer Sorry.  The correct value for this problem is 12,345 MPa.  6  ?tP	4   7h ) 3ff        UserResponse 123456.12  7`   6   checkmark    >  
i @   set4    6  
 set3    >  
i @   set2     
i @   set1         8     @)0  @'
f+    @)034  
B   @'
f   @-a   @)034 z(0   @'
f      o 	 FrameInSet Series3_CorrectCounter lbs set3 problem correct_answer EvaluateAnswer mm CountTheCorrectResponses       I 2       N N    =        I 2       N N    = B       I -       N N    =   8 @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.     9 x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet   set3   _totalframes NH 
         9 @   	 
         ?  Y txtInstructions Click <B>continue</B> to proceed to the next series of problems. TotalCorrect Series1_CorrectCounter Series2_CorrectCounter Series3_CorrectCounter TotalProblems set1 _totalframes set2 set3 runningScore You have correctly answered   of the 3 problems in this series.

 In total, you have answered   of the   problems correctly.     G G  N 	 NG 
 NG G G G G G G G 
   setup_series4    6  @ dummy_symbol    : x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet         !  Series4_CorrectCounter             : 	   ;x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  ;[   $I&B1      0 	4   <h} ) 3ff        UserResponse 123456.12  <`      3`    >  
i @   set4    >  
i @   set3    >  
i @   set2    > 
i @   set1  &J      0 A  =         3`      u             @'O       &I        `      u      ?O    G  click_series3 VariationsPerProblem FrameInSet Series3_CorrectCounter    P       H                                  =  @ V͞  	M   >w\>1 @  3        runningScore 0 out of 10You've answered ser   >@ A4@@               ?   txtInstructions Enter your answer (without units) in the text box. FrameInSet set4 _totalframes gotoAndStop click_series4 =  click_series4 Indices10 problem Indices11 Indices12 Indices13 checkmark UserResponse  GiveTheCorrectAnswer questionNumDisplay set1 set2 set3    P  N H       I      R G&     I *   N     	N R       I *  
 N     	N R y      I *   N     	N R :      I %   N     	N R        R     NG  NG  NG 
   series4    6  @ dummy_symbol 	   ?x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  ?[ ?C   @`dB=@ @<    5 
*<L V5Z@ usUՀDLW2[  	 @ 	1   AW1          ( questionNumDisplay 10 
 Az@'Ž	l   Bo!) 1         GiveTheCorrectAnswer Sorry.  The correct value for this problem is 12,345 MPa.  B  ?tP	4   Ch ) 3ff        UserResponse 123456.12  C`   6   checkmark    6  
 set4    >  
i @   set3    >  
i @   set2     
i @   set1       *  D     @)0  @'
f+    @)034  
B   @'
f   @-a   @)034 z(0   @'
f      u 	 FrameInSet Series4_CorrectCounter in/in set4 problem correct_answer EvaluateAnswer micros CountTheCorrectResponses       I 2       N N    =        I 6            N N    =        I 2       N N    = F       I 1            N N    =   D @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.     E x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/      FrameInSet   set4   _totalframes NH 
         E @   	 
         ?  q txtInstructions Click <B>continue</B> to go to the printout page and finish. TotalCorrect Series1_CorrectCounter Series2_CorrectCounter Series3_CorrectCounter Series4_CorrectCounter TotalProblems set1 _totalframes set2 set3 set4 runningScore You have correctly answered   of the 3 problems in this series.

 In total, you have answered   of the   problems correctly.     G G G  	N 
 	NG  	NG  	NG G G G G G G G 
   after_series4    6  @ dummy_symbol    F x  33@ a    &C0   `@'_- 33@ a    0    `@'`/ 32@ a      ` !  `@'`/        F 	   Gx. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P>  G[   $I&B1      0 	4   Hh} ) 3ff        UserResponse 123456.12  H`      3`    >  
i @   set4    >  
i @   set3    >  
i @   set2    > 
i @   set1  &J      0 x  I         3`      u             @'O       &I        `      u      ?O    t  click_series4 VariationsPerProblem --------------------------- click_series4 =  FrameInSet Series4_CorrectCounter    P       H              G&                      I  @ V͞  	M   Jw\>1 @  3        runningScore 0 out of 10You've answered ser   J@ A4@@                  ?.   runningScore Series 1 - normal stress:   Series1_CorrectCounter  correct out of  set1 _totalframes  problems
Series 2 - shear stress:   Series2_CorrectCounter set2  problems
Series 3 - shear stress:   Series3_CorrectCounter set3  problems
Series 4 - normal strain:   Series4_CorrectCounter set4  problems

In total, you have answered  TotalCorrect  of the  TotalProblems  problems correctly.   G G  NG G G G  NG 	G 
G G  NG G G G  NG G G G G G 
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P    6  @ dummy_symbol    >  
i @   set4    >  
i @   set3    >  
i @   set2    >	 
i @   set1   0G*U     ?   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3`  &   Ko__   f%7fa5Y K@  '   La6 $
  	 333wj~wn  L  @'U  &   M]_]([   f f%t Z\4Bp  "   NX` 	      frB|_  *   O]_]([  33 f f5t Zn`|8V "   PX` 	  33  frB|_  $   Q\`]_  33    5kZ}!Lt/
 ~   R V M  N  e@ 
5`O  P  e@ 
5`Q  N  e@ 
5`   =8      printasbitmap:  _level0     R 	4   SxĘ  1  333         txtDate 12 pt Verdana  S@ A f   TpK 
 
   3$NfL3b غ~c PȰǆE싷Cb v`C"LHd[`F1  T &@ `	%   Uw
!)   3         txtName  U %@LN	1   Vg+'01   3        txtIdentifier 999999  Vj  $I&B1      0 	Q   WV1   3      ( runningScore 0 out of 10You've answered ser  W@ +@   