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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~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%   !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--xrrxxR?Z/9cgg!@[^^<`c Xf&`  XT@XT 3Xa;Sg XS9g Xmau  P$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$ X__t`  X>>T`  X<t` X_b`  X_O`  X_m`  X_``  X4ft  X_X`  X4ft jX_e`  X7Vt( XT`  XU]t` X`T`  `  X`T`  X]`  X-S`  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<    	*    g2p0         percentLoaded 
  Y`@ ?/             HowMuchLoaded =           PBL 	 ̒     XN!̀ 
 ̒     XM!  
 ̒    	 XN  
 ̒    
 P>L 	 ̒     X!Oa  
 ̒     XN 
 ̒ 	~   b D
      &@4 i @ @   &@4 pi @ @   &@4Ti @D@   &@4TMi @d@   &@4T}@i @@   &@4T@i @@   &@4T i @@   &@4Ui @@   &@4U<i @@   &@4Uli @,   &@4i @ @   &@4U@i @L  &@4pi @ @   &@4U i @p  &@4i @D@   &@4M i @  &@4Mi @d@   &@4i @  &@4}@i @@   &@4ni @ԓ  &@4@i @   &@4i @ @   &@4.i @  &@4 i @ȓ  &@4 i @$@   &@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  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @  
 ?  F nr theRandom length igap Math floor iflag j swapTemp theIndices theLength random theCopy theGiven sceneIndex HowManyProblemsInSet Array myRandom rn HowManyIndices i dex1 dex2 dex3 dex4 myIndices1 FillArrays ShellSort2 myIndices2 commaFormatted neo . inputString split neoLen neoStart charAt - neoLenR noCommas FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded 0 toScientific exponent abs log mantissa sigDigs output e $ ShellSort2  theRandom theIndices    N<           R< A A A         H g         I                           H     GN  NH    N     GNO   G O 	 N 	  	  GNO 	  G O     P            R % TraceArrays  theRandom theIndices J    N<         <       H   P . FillArrays  theRandom theIndices theLength y          < 
     H M             RO 	      GO P ) CopyArray  theGiven theCopy theLength U          < 
     H )     NO P Q GenerateSceneIndices  HowManyProblemsInSet HowManyIndices dex1 dex2 dex3 dex4      @     @ A     I           <  H |           R   O   ?    H     O     O P q      I           <  H            R   O UU?+LUH     O B  UU?UUH     O     O P B      I           <  H            R   O   ?    H     O q    ?    H     O B    ?    H     O     O P  RandomFramesTrainOne   {          @     O         @     O         =      = RandomFramesTrainTwo   {          @     O         @     O         =      =     inputString       !R< "	         N N< #        <            	         N $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  0   num digits  1    2=  	         J> _         3H <  41     5RK< 64     R< 6> 73 
       8R< 41 7     5R 7K<	    4 9R I   44 :G ;   4 !R< <3 ;    N N<    < < H   44 =G P  64     R< 6>O  >   num sigDigs . 11J 1    2=   1> ?1     @R     AR	 k@U     R< 1	         I   ?         7? 
       8R< B1 7< BC     B     0R DB< ?	         I   DD E?GG D>O ?  > index theTrain explainTorque _visible CorrectCounter N-m correct_answer EvaluateAnswer explainStress MPa explainDiameter mm explainTwistB rad explainTwistC explainTwistD explainSpeed SpeedFlag rpm Hz explainTorquePower outputString sFore sAft LengthOfString LocationOfSpace   inputString indexOf substring outputstring LocationOfComma , length isNaN  response user parseFloat tolerance diff correct Math abs UserValue userResponse StripAnyUnitStrings AbsValueFlag correctResponse bCorrect IsItCorrect formattedCorrect numDigits formatDecimals checkmark gotoAndStop correctCounter GiveTheCorrectAnswer Correct!!
Well done! The correct value is  unitString . " RespondToEnter  CorrectCounter       IL        I F   N O           N    = M      IL        I V   N O  N O  	    N    =       IL        I V   N O  
N O      N    = K      I V   N O  N O       N    =       I j   N O  N O  N O       N    = a   	   I B   N O       N    = 
   
   I    N O  N	         I .       N    = )       N    = f       I Q   N O  N O      N    = >$ StripAnyUnitStrings  inputString  A A A A             R<  I    #               R          <              R<  I    k   !N              R      G     R  G  I > J    "=   #>   J> IsItCorrect  user correct   $A %    &=    "=   $%    &=    > 'z?{G< ($ ) )< ' (    * +RH   >    >T EvaluateAnswer  correctResponse numDigits unitString AbsValueFlag correctCounter  ,-    .=< -, / 5  ,,    * +R 00J    * +R 10 ,    2=< 34 0    * 5R< 1 .        6 7R 88P 9: 6        6 7R 9;3G G <G =G 8> HideExplanations      N  O  N  O  
N  O  N  O  N  O  N  O  N  O  N  O ?     txtInstructions    
   setup_set1       d>     ar0r   ̀Lӕ~y    3`   ͂=US~
    fc2d #    x
I  < f%DD 2sK@    E    xd6      upjwH	-n!#Ťjw$聩z#(    @u L    30    @m    3` U    pK] 
 fjh>7;ٞ0b!fv=@"I3 |=;'` ъ@   $I&I1      0 ?    VerdanaK      .s*TKuEs/'C%	J	^			#
~
tr g.k3N7u0H:Xv 5/ܿebkf_a*18 5c{ximf
{q-?U 5c{xio 5dV{vVZn0ln#䩻R VGI}SS3$Wb6jpc!bh 5b^eBżreq  &xe؎ɽvw3	\UL]m7u8z  5I㹨Eza 5L-6ix 5/kurw 5f{yES̲텀 5ggqlZ 1	=%ޗӹO  N4+RJe"YOdU6e%\4k_R7YeΆ  G?| Oz p3 		E8B  5b.o6}ʓ.nWyTce3mٴMP 5h Yzև]'p3m[dvUx 4X`$ʘ$P`k~Z`%Y	r/f^T3	& 5he j.3%#	L Q 4=ʥڮm#FYa,N6<9'+M@mC'R$^^`ci3eZku̘ [* !&YgGz{	DeFٗڿk TE"-*CJM 5L]8
@
D+D7lHv(7e 5h*6u.UA&+ BM	n#Nl;^rgv̾CʤrR$_iP5E.)EbP9\m[mgl5ff CUYڽP&Ta. C"kT@	dZ{ޛW_n	'Em&/ŘdnlkP'e"7TNlB*]?+	ҐZt܋Z
  Rb@
@Q^Xpj$\o` 5i.+̳V	cfo 5ff x9@$(nRcJ;%
Ĕ<,eW20)dĥ 0ZMj48 򀄒tę\xX1ڗ Eș!f3YRRm料ȨY&.,H $ jb@Rٖ]"3X 5fdv ųk)Jxҍ<ڟ*i 0(
э]`.T4&9~\١]jGkvf鏯B%rʹk}ijaFn#&Kl e\A)EЀ5I.GlDnܶRK0lDnܶ7Q 5JN㹨Eza$Fau 5g riw{n#}FmySj1GfBIHdVP-dH%gK"fGɷm޳5L|h 
_ebkf_a 5NR\wջfs!b_~c_o۳&1 5gd]{]<}[@mJF1*Do*JIk,R/&Xf (K]rC8t@-nz@dRmkO{rgnp%Oiy幺]}[dEw` 5f)i[v.`SJDTiWq&H >ve\pf W_t}ӟ6-ܶ R[5pc1~z'<|@^;I%ușaMl>  5fnlQݯҵ$00L<83
S0>bـuR.iCց۔NZ1ޮLX8 5i>x'g<pF+F8 5ix(}֗^pcX 5f PnP "g $I	Ʌk>}Vf)OVj3t&丛zp8љј[ 7!lf_]<`eͶs 5jzyWF)Fpca$]8m͆0 5avm8m͉TŲmll0 5e֌yQ<Xb̀m{ID#{dX${@xd͏  5J1[6k?u;F6XN+LƴW5hvV8"Z1ʤ8@ 5kyWF-㘶xrg*أ~&;=  5jryWF7=?YT-Ms(Il. 5j>.2Ia r`΄t%F& O:m<. ( b2biy@&P @ h+[> H I!&L g9d  S_ M 5fdze=*ma7R$bNPk92[ZK2c\a?-
M'`;NэV WHbUgK\ 5kVfH \ f^%(&B ֵs(qR6^>CP3Y `sMͧ6E s R\L1p]1fz4<ɠ(  ̀4Xa1qH+V}8  !BMo 
rmo즿 8< 5fw2mRs:Z^@4kY2]<w0#Qs7.)F-hp	h5gf @Z@40ib;YfS*,BP
+bgY)ĭ@73`xld<%CS%L g+;#v2;}NM]0~$  ̅]r&mm˾ 5i޸x/nU!;\8/mDﲰ 5jVx[ـ{elFl+	3;elWn`
a(K!LBTZ%KInQJ5jyѹ|hW1ԣ 5k+ϟ.}sbO;k&/16@5jrxx؍sbS	Fq͇.&J]ʹ 5iΌxM
;bqeM&Zά@5jvV9-'3s8$DS~` 5feV)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS ;vin6̈́m 5b{xQiS[U  2q0 ]/&z%Rh{nبAN ,͘4J`	ٷ-%)ks@A#5gZr.Zn& 6D`RiM5iiv̅gz6r.l7fH/e2]ݪ  5h{yXVikNZ&p~.wW&RY%[R;ax.,w$_}5چ 2LDf*
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    B  @      D P	 	 d    E P4	 	 T    F P	 	 ,    G XBx  	      Cn#    H XBx  	      Cn 	*  I  D
   ?U  w  gearB diameter text diamB -mm diam gearC diamC gearD gear upper  lower diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	N 
O  N N  GO  N  O  N O       R ?&       @        GearSetup =  (  @   ) e|!+    . - ?ހh9d gearC  1      & 3 ŢfgearB  . e|!1` / a~ea<!5x  0   ?یsi @  . e|!:(ǀ / +"e+!;΀ 4 e|!=Հ 5   / ks>pZr` . e|!X   & A 4gearD    &. C 1machine 0 D @'	6@1 E @'J2 F @'S'3 G  p@'	A* 4 H  p@'sQ @   	  J _ 1              question If the motor at A produces a torque of 6000 N-m, what is the available torque at gear D?and what's more If the motor at A produces a torque of 6000 N-m, and still more If the motor at A produces a torque of 6000 N-m,  	  K _ 1  f         question If the motor at A produces a torque of 6000 N-m, what is the available torque at gear D?and what's more If the motor at A produces a torque of 6000 N-m, and still more If the motor at A produces a torque of 6000 N-m,  ?_   L p t Q f 9 <$8 ŝgŝ@
n :g:T'S θk9 Vx   %2~D 	4   M `4_
P1"          TorqueSought Torque @ D    N ifx  	"       ^  O  N  25c{vV[	mln#ԩR VGI}SS2;$ȲWb:jpe-b` 5aʧdÜNN<6sK>nMʞyҧv$W3	\ VL]m7maZ 5ge l.7%#EʏE(@JRUR#-"Q@mO;{veSڕV5#+TTT,t&W'Zԭ[d0	U`@$y0IntrkG]bȭiPqkWՀS
<VT& 5Jax̿6\f6vT6)P    O Tahoma()34   P iQ   O      \ 	$   Q _E` 1"          num 500 	$   R _E` 1"          den 500    S iQ  O        	3   T g)g
P1"          sTorqueGiven 5,895 N-m 	4   U g5o
P1"           sTorqueFound 15,895 N-m    V iQ&  "          W iQ&  "       	  X  D
    L   M  3@ 	; N @ 	;    ?  P     ?  Q  y@ I R  y@  S ̀O    ? 	 T  0@ YH;
 N @ N;    ?  U  @ G V  @ i#    ?  W  @ H@;    ? @   	1   Y `[o
P1"          sDiameterGiven 56 mm 	.   Z `??
P1"          sPolar 933,333 mm    [ P{          \ P "           ] Ok      % gq    ^ P 	      0    _ PֆFX "          ` aΣ O      @     a p$0  %bs3 	@   b m7W 1"           num (9,999 N-m)(28 mm)(1,000 mm/m) 	+   c `e
P1"          den 933,333 mm    d PJ8 	    B@`     e Yhk      %OٙP 0   f X<5 	"       Zl  :Dt" L b 	0   g `eW
P1"           sStress 2555.23 MPa 	8  h  D
    Y  @ c@ Z  0@ @
  V @ @    ?  W @ $    ?  [ ?X     ?  \  @8GP    ?  N @ (    ?  ]   @K     ? 	 ^   @Q>    ? 
 _   @I0    ?  ` P    ?  N @ 
\    ?  ` p     ?  a   b  3@ @% c  y@ M@這 d a@ 	Jx    ?  N @ B    ?  e     ?  f     ?  N @ K    ?  ` ѡ     ?  N @ |     ?  g  @ [</@      i b09p  
  .,@     j PF     %!Fgq 4   k X+3	  "       D"  ċ" - : l     l ZCfck      %i4fw    m P 	"       & #   n bb 	"    hn     o PF     %!6g     p a5&a     %ify  #   q bd:x  	"       .R, )   r b4  	"       .O        s Ok      % gq    t P&ֆFX "      c_ )   u b4  	"       .O        v p~  %y>h 	9   w m7 1"           num (9,999 N-m)(1,000 mm/m) 	(   x aS
P1"          den 200 MPa 	/   y `e
P1"           sDiameter 56.56 mm    z PG 	"   . 	  {  D
    d a@ Q8    ?  N @  (    ?  e      ?  f <`    ?  i   j   ?LW     ?  N "    ?  k   ?LX/    ? 	 l   ?LW     ? 
 m   ?Lz    ?  d a?L~    ?  n P N !@h(    ?  o  @a      ?  k  @b     ?  p  @a      ?  q  @Q`5    ?  ]  @vg     ?  ^  @wϧ@    ?  _  @u     ?  r  @V     ?  N !@Q 
     ?  s  @I    ?  ^  @Js     ?  t  @I    ?  u  @sH	    ?  v   w  3@ @( x  y@ lә s  i@ 8    ?  ^  i@ >Jt    ?   t  i@ 7     ? ! u  i@     ? " N @ ̔    ? # N @ @    ? $ y  @ \2P% z @ X2P& i t@      | P"x 	 / ,    } P8 	 B@p    ~ P0x 	 /       p  % 	C    m7Q 1"          num (9,999 N-m)(1,888 mm)(1,000 mm/m) 	.    `e
P1"          sPolar 933,333 mm I    hD 0 	"    m&K FN"   c"   
m 	1    h2 1"           sPhiB +0.12345 rad- 	S    D
    | ?	w     ?  } @MQ    ?  N @ (    ?  ~ ?n@    ?  } @gKV    ?  N @ `    ?       3@ @	   y@ r 5
 `     ?  V !    ?  W k     ?   A N @ (    ?    @ C2@       P 	 /  	1    h2 1"           sPhiC +0.12345 rad-      i0k  %HD     iʐx  "   p 	&    _E` 1"          gearB 500 	&    _E` 1"          gearC 500 	/    g5W
P1"          sPhiB +0.12345 rad 	B    D
     ?n@    ?  } @_KV    ?  N @ˣ`    ?  N @N
    ?    @D4     @ʏ P (|    ? 	   n@e
   n@e  S ̀ ("    ?    %@L
@ V   @hB    ?  W   @F
@    ? @   ?M    p t Q f 9 <$8 ŝgŝ@
n :g:T'S θk9 Vx     P x 	 /       pvn6X  %|? 	C    m7Q 1"          num (9,999 N-m)(1,888 mm)(1,000 mm/m) 	.    `e
P1"          sPolar 933,333 mm 	1    h2 1"           sPhi2 +0.12345 rad-     P. 	"   @ 	1    h2 1"           sPhiD +0.12345 rad- 	1    h2 1"           sPhiC +0.12345 rad-      i9Ҁ  %(s~D 	&    _E` 1"          gearB 500 	&    _E` 1"          gearC 500 	/    g5W
P1"          sPhiB +0.12345 rad 	1    h2 1"           sPhiB +0.12345 rad- 	    D
        ?LC    ?  } @n    ?  N @&    ?       3@uq`    y@eᲀ `   @@l    ? 	 V   @]    ? 
 W   @f    ?     @Tʚ N @|Y     ?    @Za ? ?- } @T   ?<
- } @T5   ?$- } @T  N @#    ?     @,b# N @
#    ?    @EB#  ?LFs    ?  } @et    ?  N @Kk    ?  N @MV(    ?    @NG/p     @Kؙ P (w    ?     n@LtP!   n@Lt" S ̀ (2Љ    ? #   %@MS$ V   @KR+    ? % W   @MNH    ? & | @w    ? ' } @tJF@    ? ( N @&    ? ) ~ @F`    ? * } @t    ? + N @&P    ? ,   @&R@   ?_    p t Q f 9 <$8 ŝgŝ@
n :g:T'S θk9 Vx   %0, 	-    `1_
P1"          lhs Speed of (2) 	$    _E` 1"          num 500 	$    _E` 1"          den 500 	.    g)
P1"          sSpeed1 2,222 rpm 	1    g4
P1"           sSpeed2 2,222.00 rpm 	    D
         )@.; N @;    ?  P R~    ?    o@B@   o@Bn S ̀ "o    ? 	   &@\h;
 N @Q;    ?    @I\ V  @u    ?  W  @KX;    ? @       Pv "  0      pVI  %jf|@ 	@    m7? 1"           num (500 kW)(1,000 kW/W)(60 s/min) 	4    oQ 1"           den (2,420.00 rev/min) u     5FAnm	.]$@.%:ܔq'
 ]
epqЫBه*Iw;e'bn @4$ZDl	dC$Jot2	q[ 3\t~p'Tܿ     SymbolpA    `	  	"    m   "  	 Fhhnhp
m 	6    h2] 1"           sTorque2 2555.555523 MPa 	     D
     ?	m     ?  @ @NP    ?  N @ (    ?       3@ m    y@ K5   y@ 
mM` N @ b    ? 	   @ 9@       \GڀT{X ٝͽĴ2&B_ A<+(% wL ֚Ε jL) f^D?:*3/"M)k' B<,(%!2f ξtn)%"< l|sSphK q  l$$' ǐ|vn q2菽 vUd\C[T=# wc]X Ƿx`  לtK ڞҘ˞x Ж~wr!8 "B ξy˞4 ǐξ ܟ՚ B긇 Ҙǐ~/N [T=B=,;6'#$b둋 Ҙwl "| bofJc[B %=5 ~~[yoP }`wV !$"ML Εoc
R ͔ul 2mz ôv  5O ó!bu ۞! ˓ξ} '%6 cjbG]V> ` ܟҘr ʒzK כ͕tKX@ #b@ ͔xxz / e]CB<,62$|˼+ Hr [YR;ID1  $쾹 ib  !i Ŷia 3r  ǸbxV#_ p~tTphK @jg pukNd\B(%r ~[`X@SL7 d
J@ Œ³ Қk tkMWP:NH4 hyoPneI2< ôia
R ԙ³z$$Z &#     " HB0-*%"#N OI5<7(62$ 3/"
R^ s^yWRƭb їȑ= _ldHbZA! lcHLF2B<, !2bo"0 ͔l_ ^Cǃ ówtc ν}ZriL\ ^vU|rRxu Ďpf pc|tI{QĄT^$="ҋ:.W	j`*v/X:dޑAQk^$H5 MhD|κ5l$jKk]Z}$iKl]"Fg5)+MKFc5ed܇]E[5I=ci"m&zYeZ.C"GU Mc:Mi M!2$ͷ}цVۮi2 }ݢϵi l -ݺh@zDFn{hu#ݷ}nGzRθmnt|G֟(xutB֣pu!m/}j|cXIBcq!jGhf YMkIZaB
R5ߦDm#֠Pu#MwklFz_ږ&"e^[Un#ڨ*"쐊魯!ib}&άjݩbb#ڌ$"c(K|G;R7/K#fER*m{[kYe-hk=KZ,㬫U1rA;=vrk-/HV
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N N O 	 
N N  GO 	 N O 	 N  O       R ?&    @            GearSetup =  (  @   ) e|!+    .  h9d gearC 
 1 s   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkē . e|!   & A ; gearD    &2 C -machine 4 D @'	6@5 E @'C6 F @'jh    7 G  p@'
D8 H  p@'J x@    "   eҚh ONe0 Qy4x~:} $&NRh UT76// 55 0fkHkXc=UU3m?u3@5ſz}[mE6{d8[c=6Ąmc-lf}]`G0y.ڽwkenZ;\6|mL
ma0ںU[jS6]46Ձ؟=;bGvmD Yl:~!zJ	CexߧJs7Ch!uϹ5 	     D
      @    v   eњ}jX^˵Q Mz2y8~Dє baLKKJ vKE1 GF.-'
'` z̽ap US  0GxҿfN,^mjQkn׎޻]-ZYXڞѵK(LO]ӂlyoS\α5܃smU^+ڢ-;cBƏm2 UWl.7M/)`l_؀#bL#X,ն}~d߾Mo(DzkgKlayjԶM.b]h/ڔ&$׎`\smJEpufqָ綛흱S;m	     D
      @   	     D
      & 3  gear  . e|! / a~ea<!  0   ?ۊBŐi @  . e|!# / +"e+!+`
 4 e|!2#Љ 5 X
   &   ccw 	   &   cw  > @'
 ? 4sL7 @ 2#M**Z@   	    D
   ?.  j  gearB diameter text diamB -mm diam gearC diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N N 	 GO  
N O  N  O       R ?&       d   x       GearSetup =  (  @   ) e|!+    .  h9d gearC  1 `;    &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkB . e|!p   &  @gearD    &- C = machine / D @'	6@0 E @'A1 F @'D=@2 G  p@'	A* 3 H  p@'[\@   	    D
   ?.  j  gearB diameter text diamB -mm diam gearC diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N N 	 GO  
N  O  N O       R ?&    d      x       GearSetup =  (  @   ) e|!+    . 3 _h9d gearC  1  *    &  6gearB  . e|!.` / a~ea<!2x  0   ?یmri @  . e|!7( / +"e+!8 4 e|!:ɀ 5   / ks>pZkB . e|!`   &  ?`gearD    &- C X8machine / D @'	6@0 E @'A1 F @'J0; 2 G  p@'	A* 3 H  p@'i^@@    _   e}hTnL ]\LKKJpLث Nx2w~8} Wv% IH0/)) w WV  0n>-ݶw	N6<)]hg`ěv-7o_4Cl(VQbv-l6J߰Ko(7T=\b-ݻ5=jy~}'k+zkfCk֤ͫTwC>iH^  l^؅js~MH,VCM.̃kqTkT[v>;b]9I1>Ve{R	     D
      @    $   e NM} Rz4y~:| $* WV8710 65 0m{i1o\7okcm#tE~  m+l:t
?~7rL$AiQo-BmmMkn~VD^km;V6mC}7E7;{7]{km-;:l ߀mJ=~]B߬MܩD{҂qx]WF7/:nBBCH5 	     D
      @   	     D
      & -  gear  . e|!
В / a~ea<!` 0   ?ۊBEi @  . e|!#c  / +"e+!*p
 4 e|!1 5 h	   &   cw 
   &   ccw  > @'
 ? 4sLGe @ 2#M*95@   	"    D
   ?O  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N  GO 
 N O 
 N  O       R ?&       P   x       GearSetup =  (  @   ) e|!+    . 9  h9d gearC 
 1 `E   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkC . e|!@   &  C@gearD    &/ C ?machine 1 D @'	6@2 E @'A3 F @'B״4 G  p@'	A* 5 H  p@'Xa@   	"    D
   ?O  w  gearC diameter text diamC -mm diam gearB lower diamB upper  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N  GO 
 N O 
 N  O       R ?&                GearSetup =  (  @   ) e|!+    . -  h9d gearC  1 *   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkB . e|!
   &  pCgearD    &. C 8machine 0 D @'	6@1 E @'C2 F @'D23 G  p@'	A* 4 H  p@'\hS @   	;    D
   ?i  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N 	O 
 N N  GO 
 N O 
 N  O       R ?&       P          GearSetup =  (  @   ) e|!+    .  h9d gearC 
 1 `    &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkdBR . e|!   & A 7gearD    &1 C 3machine 3 D @'	6@4 E @'A5 F @'@G6 G  p@'	A* 7 H  p@'W(S @        T4zD , a`HR Ux5wy:x<b8 `_SRPO QP32,+ 0,Zz6(Bޙ'dB<K
QhkzPJ֗67\\aGͷ~Iqk̐CXs[K2kqC[|Z^J>M{흽x>mx^MpEJ	CL48Y[l	uv	3j6~ 	     D
      @        TnE  Z G}0{4~ fd ?>    0@uR%ڔ'2&̗]M:qQfu{eo"pm'@M>zVBPwkCZ ҂P5Km.m"Q۾!֔X$
^$ڔ&:zXKie+lu#qn
z0)GU/ՕO0 	     D
      @   	     D
      &   gear  . e|! / a~ea<! 0   ?ۊBpi @ 	 . e|!#
 / +"e+!+#P 4 e|!2C 5 H
   &   ccw 	   &   cw  > @'
`h     ? 4sL@ @ 2#M*Q@   	*    D
   ?U  w  gearB diameter text diamB -mm diam gearC diamC gearD gear upper  lower diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	N 
O  N N  GO  N O  N  O       R ?&    (             GearSetup =  (  @   ) e|!+    . 3  h9d gearC  1    & - "vgearB  . e|!3  / a~ea<!7 0   ?یwQi @  . e|!<P  / +"e+!>   4 e|!?  5  / ks>pZr&  . e|!   &  5gearD    &. C 1machine 0 D @'	6@1 E @'JBU2 F @'V 93 G  p@F	A* 4 H  p@'w@U@   	;    D
   ?i  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N 	O 
 N N  GO 
 N O 
 N  O       R ?&    <   P   d       GearSetup =  (  @   ) e|!+    . 9  h9d gearC 
 1 B   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZk~C  . e|!   &  BgearD    &0 C >machine 2 D @'	6@3 E @'C4 F @'|05 G  p@'	A* 6 H  p@'Xe@   	'    D
   ?O  w  gearB upper text  lower diamB -mm diam gearC diameter diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N 	 GO 
 N N  GO 
 N O 
 N  O 	      R ?&      ,  d       GearSetup =  (  @   ) e|!+    .  ? h9d gearC 	 1    &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkhT . e|!8   &  < gearD    &/ C 4 machine 1 D @'	6@2 E @'C(h    3 F @'w\4 G  p@F
YN5 H  p@'VR@@       f
h % NM6ً2 R}5{: 76l@ SR55.- 0tkV-PJRگYvkV][X~
%6śS%m?WlɴA.-Qr%R[Kml٠m"f6IHm۷TZaAi5)fo~S,HGw~ڋ:Cjʝ6Y1mg7z@H*e흽[r6c`uބfu 	     D
      @    s   f]{  (ģS Mw0u{5y/O@ cbLKKJ`: j{  QP
K7s< CB/.*) 0Ewm2hslvݴ)iW6ִms|Eu +m6"KjjvWmbOW'ڤo)jӖ&6qfW_m'N;0_ol٠#fMJm&/jPjP5 }ymmu+\LЏ5j&ޔ6		u m:e=mh{9e.ՙ`PΡT.ږwN
.0 	     D
      @   	     D
      &   gear  . e|!v / a~ea<!? 0   ?ۉi @  . e|!#"	 / +"e+!*c` 4 e|!1Љ 5 X
   &   ccw 	   &   cw  > @'
` ? 4sL2k @ 2#M*%\@   	"    D
   ?O  w  gearB upper text  lower diamB -mm diam gearC diameter diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N 	 GO 
 N N  GO 
 N O 
 N  O 	      R ?&         x       GearSetup =  (  @   ) e|!+    . 3 p h9d gearC  1 @4   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkȓ . e|!(    &  DgearD    &/ C X;@machine 1 D @'	6@2 E @'C3 F @'A@,@4 G  p@'
N5 H  p@'^xd @   	<    D
   ?i  w  gearB upper text  lower diamB -mm diam gearC diameter diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N 	 GO 
 N N O 
 N N  GO 
 N  O 
 N O 	      R ?&    <   x   P       GearSetup =  (  @   ) e|!+    .   h9d gearC 	 1 D   & 9 gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkC . e|!    &  PC gearD    &1 C ?@machine 3 D @'	6@4 E @'H5 F @'Bp>@6 G  p@'	y1 7 H  p@'`Hm@@   	=    D
   ?i  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N 	O 
 N N  GO 
 N  O 
 N O       R ?&    d      ^      GearSetup =  (  @   ) e|!+    .    h9d gearC 
 1 L   & 3 ΢zgearB  . e|!3 / a~ea<!7  0   ?یwi @  . e|!<h̀ / +"e+!>8Ӏ 4 e|! 6 5 !  / ks>pZkC( . e|!     &  E gearD    &0 C A machine 2 D @'	6@3 E @'RW4 F @'I 5 G  p@'	y16 H  p@'hht@   	'    D
   ?O  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N  GO 
 N  O 
 N O       R ?&    h  x   ,      GearSetup =  (  @   ) e|!+    .   h9d gearC 
 1    &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkNB@ . e|!   &   gearD    &/ C 2machine 1 D @'	6@2 E @'C3 F @'t.h    4 G  p@F	A* 5 H  p@'OG@   	6    D
   ?c  w  gearB upper text  lower diamB -mm diam gearC diamC gearD gear diameter diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N  GO  N O 	 
N N  GO 	 N  O 	 N O       R ?&               GearSetup =  (  @   ) e|!+    .  .h9d gearC 
 1 [    & 9 gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkQb . e|!   &  "gearD    &0 C D`machine 2 D @'	6@3 E @'H4 F @'Boπ5 G  p@'	A* 6 H  p@'P@l @   	"    D
   ?O  w  gearB upper text  lower diamB -mm diam gearC diameter diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N 	 GO 
 N N  GO 
 N  O 
 N O 	      R ?&          P       GearSetup =  (  @   ) e|!+    . -  h9d gearC  1 `   & 9 gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkBd . e|!p   &  8gearD    &. C 5 machine 0 D @'	6@1 E @'H2 F @'FP93 G  p@'	A* 4 H  p@'_L@   	!    D
   ?O  w  gearB upper text  lower diamB -mm diam gearC diameter diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N 	 GO 
 N N  GO 
 N  O 
 N O 	      R ?&    x   d   <       GearSetup =  (  @   ) e|!+    .   h9d gearC  1 K   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkjC$ . e|!P   &  pDgearD    &/ C @machine 1 D @'	6@2 E @'C3 F @'{ ׎4 G  p@'
D5 H  p@'Shd@   	#    D
   ?O  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N  GO 
 N  O 
 N O       R ?&    d   <          GearSetup =  (  @   ) e|!+    .   h9d gearC 
 1 =   & - "bgearB  . e|!1@ / a~ea<!5X  0   ?یri @  . e|!:ƀ / +"e+!;̀ 4 e|!=Ԁ 5 a  / ks>pZkB . e|!P@   &  pA@gearD    &. C = machine 0 D @'	6@1 E @'~02 F @'K3 G  p@F	A* 4 H  p@'ah]@   	*    D
   ?U  w  gearB diameter text diamB -mm diam gearC diamC gearD gear upper  lower diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	N 
O  N N  GO  N  O  N O       R ?&    <   x          GearSetup =  (  @   ) e|!+    .   h9d gearC 	 1 8   & 3 ŢfgearB  . e|!1` / a~ea<!5x  0   ?یsi @  . e|!:(ǀ / +"e+!;΀ 4 e|!=Հ 5   / ks>pZr  . e|!    & A @ gearD    &/ C < machine 1 D @'	6@2 E @'J3 F @'N >@4 G  p@'	A* 5 H  p@'n(g@   	:    D
   ?c  w  gearB upper text  lower diamB -mm diam gearC diamC gearD gear diameter diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N  GO  N O 	 
N N  GO 	 N  O 	 N O       R ?&          d       GearSetup =  (  @   ) e|!+    . 9  h9d gearC 
 1 f   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZk6C . e|!   &  . gearD    &0 C  Gmachine 2 D @'	6@3 E @'C(h    4 F @'n/5 G  p@'
`6 H  p@'MHs @   	(    D
   ?U  w  gearB diameter text diamB -mm diam gearC diamC gearD gear upper  lower diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	N 
O  N N  GO  N  O  N O       R ?&    d   ^         GearSetup =  (  @   ) e|!+    . 3  h9d gearC  1 P   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkd . e|!l   &  8gearD    &. C 4machine 0 D @'	6@1 E @'C2 F @'E?3 G  p@'	A* 4 H  p@'g0[@   	)    D
   ?O  w  gearB diameter text diamB -mm diam gearC upper diamC lower  gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	O 
 N N  GO 
 N O 
 N  O       R ?&       (          GearSetup =  (  @   ) e|!+    .  $h9d gearC 
 1 Q    & 3 VgearB  . e|!0` / a~ea<!4x  0   ?یqi @  . e|!9(À / +"e+!:ʀ 4 e|!<р 5 
  / ks>pZk: . e|!    &  HF gearD    &. C B@machine 0 D @'	6@1 E @'H2 F @'Do؀h    3 G  p@'	A* 4 H  p@'Yf@   	B    D
   ?i  w  gearB upper text  lower diamB -mm diam gearC diameter diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N O   N  GO  N 	 GO 
 N N O 
 N N  GO 
 N O 
 N  O 	      R ?&       ,  x       GearSetup =  (  @   ) e|!+    .  @. h9d gearC  1 Z   &  gearB  . e|!,` / a~ea<!0x  0   ?یibi @  . e|!5( / +"e+!6 4 e|!8 5 C / ks>pZkO` . e|!   &  " gearD    &0 C 0Dmachine 2 D @'	6@3 E @'C(h    4 F @'Oq@5 G  p@'
dЏ6 H  p@'Ss@   	    D
   ?.  j  gearB diameter text diamB -mm diam gearC diamC gearD gear diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N N 	 GO  
N O  N  O       R ?&      X        GearSetup =  (  @   ) e|!+    . - _h9d gearC  1      &  6gearB  . e|!.` / a~ea<!2x  0   ?یmri @  . e|!7( / +"e+!8 4 e|!:ɀ 5   / ks>pZr . e|!    &  ;gearD    &- C H5 machine / D @'	6@0 E @'A1 F @'M0P 2 G  p@'	A* 3 H  p@'lW@@   	*    D
   ?U  w  gearB diameter text diamB -mm diam gearC diamC gearD gear upper  lower diamD ccw _visible cw _parent PoseTheQuestion   GearSetup  diamB diamC diamD     N  GO  N  GO  N 	N 
O  N N  GO  N O  N  O       R ?&    <   d          GearSetup =  (  @   ) e|!+    .  h9d gearC  1 *    & - ɢvgearB  . e|!2` / a~ea<!6x  0   ?یui @  . e|!;(ˀ / +"e+!<Ҁ 4 e|!>ـ 5   / ks>pZr	  . e|!`   & A h<`gearD    &. C 8`machine 0 D @'	6@1 E @'MX2 F @'P7 3 G  p@'	A* 4 H  p@'kZ@   	&    D
   ?  	
 GearRatio TorqueFound index diamC diamB explainTorque TorqueSought Torque @ D num den Torque @ A DesiredLowerTorque DesiredUpperTorque TorqueGiven torqueStep RandomValue sTorqueGiven Math formatDecimals  N-m sTorqueFound question If the motor at A produces a torque of  , what is the torque magnitude produced at gear D (in N-m)? If a torque of   is required at D, what torque magnitude must be supplied by the motor at A (in N-m)? correct_answer train machine _visible gearD diameterLower diameterUpper diameterStep DiameterGiven radius polar pow stress sDiameterGiven  mm sRadius sPolar sStress  MPa explainStress ( )( )(1,000 mm/m) The motor at A produces a torque of  .  If shaft (2) has a diameter of  , what is the shear stress in shaft (2) (in MPa)?  Assume the shaft is a solid circular cross section. A torque of   is available at D.  If shaft (1) has a diameter of  , what is the shear stress in shaft (1) (in MPa)?  Assume the shaft is a solid circular cross section. AllowableLower AllowableUpper AllowableStep AllowableGiven temp diameter sAllowableGiven sDiameter explainDiameter .  If the allowable shear stress is  , what is the minimum diameter required for shaft (2) (in mm)?  Assume the shaft is a solid circular cross section.  acts at D.  If the allowable shear stress is  , what is the minimum diameter required for shaft (1) (in mm)?  Assume the shaft is a solid circular cross section. AllowableStress max RoundToStep ShearMod TorqueDsign ccw trialLength2 trialLength1 trialLength min ShaftLength phi1 phiB phiC phi2 phiD -mm sShaftLength sPhiB  rad + sPhiC sPhi2 sPhiD A   torque is applied at D as shown.  Shafts (1) and (2) are both  -diameter solid steel shafts  -long (G = 80 GPa).   Determine the rotation angle of gear B relative to motor A.
 If the rotation angle of gear B is  , determine the rotation angle of gear C.   Determine the rotation angle of gear D relative to motor A.
 (radians; + = CCW about x-axis; - = CW) sLength sT1 explainTwistB explainTwistC gearB gearC sT2 explainTwistD rpm1 powerGiven powerRounded powerTemp rpm2 Hz1 Hz2 Torque2 sPowerGiven  kW sRpm1  rpm sHz1  Hz The motor at A supplies   at  random SpeedFlag sSpeedUnit (in Hz). (in rpm). explainSpeed sSpeed1 sRpm2 sSpeed2 sHz2  to shaft (1), which in turn powers a machine connected to shaft (2).   Determine the rotation speed of shaft (2)  Determine the torque magnitude in shaft (2) (in N-m). explainTorquePower )(1,000 W/kW)(60 s/min)  rev/min) )(1,000 W/kW)  rev/s) sTorque2 lhs Speed of (2) NoSteps theValue StepSize round range ValueMax ValueMin RN   PoseTheQuestion  diamB diamC l  A A     IL       IL       IL    
   IL       I A      O  O  	O       IL       IL       IL       IL       IL    	   I <      
O  O  	O    H +  #u@JȬ < /@v < p   
   H 4  #u@JȬ < /@v     < &  &|@? < Q4@cbq < '  H   '         =<              R G<                 R G<  O  O     IL       I y      I   G G   G G   N  O  N O >      IL       I X     <  8   < !   < "!       =< #"    < $!?-DT   "     %R< & #    $< & '        "     R (G< )        #     R (G< *        $     R (G<	 +   &     R ,G< - ''O - **O - .G /G )G 0GO - 	*O - ++O     I L  1G 2G 'G 3G  N O  N  O G  4G 5G 'G 6G  N  O  N O > a     IL       I  7F   < 8   < 9
   < :9 8 7    =< ;0_@m    :< <UU?T;     %R< < =        :     R ,G<	 >   <     R (G< ? .G 0GO ? 	=O ? >>O     I L  1G @G =G AG  N O  N  O G  4G BG =G CG  N  O  N O > p     IL       IL    	   I  D   < ;0_@m      ER    D< <UU?T;     %R< 8   <H   <8   	 "   <    F=< #"    < $!?-DT   "     %R< G8 < HA  N IN N   H      H JΪ?{G $    < KΪ?{G $    < LJ K     MR<	 N   L    F=< N    H   N    O         H    N G $  < PO< Q        P  < R H    N G $< SQ RG< '        "     R TG< U        N     R TG< *        $     R (G<	 V   P     R WG<         PH   VXVG	 Y   Q     R WG<         QH   YXYG	 Z   R     R WG<         RH   ZXZG	 [   S     R WG<         SH   [X[G \G ]G 'G ^G UG _G     I    `G P l      I *   aG VG bG Q -   	   I    cG S  dG e        N     R (G< f                 H     R G< g .fG /G eG 0GO g **O g VVO h iO h jO h VVO h YYO k         H     R G< l iO l jO l VVO l YYO l .kG /G eG 0GO l **O l ZZO l [[O  N  O  N O > }  
   IL       I R mA nA oA p	 !	@-DT     <      < mx   `	  x      = np m d   nH  	 o   n    F=  	 o   n    F= o 
   H v qm  < rm <   < sq <   < to    !@-DTs< u        o     R vG< w        m     R xG< y        r     R zG< {uG |G   ?             }RH   ~    <   ~         < ~	         I a   wG  wO	    q     R<   xGO q \   yG  yO	    s     R<   zGO s  G  
   I    G G       I    G ~	         I 5   .uG GO  	.G GO 0   .uG GO  	.G GO	    t     R G<  O t  O  O  	O  N O  N  O >" RoundToStep  theValue StepSize 8        R<   >+ RandomValue  ValueMin ValueMax StepSize w   <          }R<   G<       R<   > ?     torqueStep 8       & I -ytrain : J ˋ ; K [    &< X ^explainTorque    &J h d0 explainStress    &c { d explainDiameter    &  d" explainTwistB    &  fV explainTwistC    &    ?̏İexplainTwistD    &  ^explainSpeed    &  d0 explainTorquePower @  ?     torqueStep        6    @}p train @  ?     torqueStep d       6    ?}p train @  ?     torqueStep <       6    @}p train @  ?     torqueStep        6   	@ }p train @  ?     torqueStep d       6    @}p train @  ?     torqueStep        6   @}p train @  ?     torqueStep <       6   	?K}p train @  ?     torqueStep        6  < train @  ?     torqueStep <       6    ?}p	 train @  ?     torqueStep 8       6   @ }p
 train @  ?     torqueStep        6  @}p train @  ?C     torqueLower     torqueUpper     torqueStep        6    ?K}p train @  ?     torqueStep        6  @}p train @  ?     torqueStep        6    ?K}p train @  ?     torqueStep *       6   @}p train @  ?     torqueStep (       6   	@}p train @  ?     torqueStep <       6   	@}p train @  ?     torqueStep        6  @}p train @  ?     torqueStep        6    @}p train @  ?     torqueStep x       6  @ }p train @  ?     torqueStep *       6  < train @  ?     torqueStep 
       6  < train @  ?     torqueStep #       6  < train @  ?     torqueStep F       6    @}p train @  ?     torqueStep 
       6    @K}p train @  ?     torqueStep        6  -y train @  ?     torqueStep (       6  @ }p train @        v theTrain        %    `	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       %  Set1_CorrectCounter RespondToEnter        =   ՘ @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.   A    \`|<x f3 hqIHxG@
,gn惋O
 (    `2H" 	 333jǌv`ǎn (    `2H" 	 fjǌv`ǎn (    `2H" 	 3jǌv`ǎn      x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/      QuestionThisSet   TotalQuestions_Set1 H 
           @       	 
      ?   S  txtInstructions  Click <B>continue</B> to proceed to the next series of problems. A  runningScore  You have correctly answered   Set1_CorrectCounter G
   of the  G  TotalQuestions_Set1 G   problems in this series. G 
   setup_set2   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3` 3    x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/    `  QuestionPreviousSets TotalQuestions_Set1 QuestionThisSet Set2_CorrectCounter sceneIndex Array     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> 	  [ 
  $I&I1      0 i    qΥ     	  B@2xXrXfv q @jtnjzׄvm䌒 @ q~~ q~ qbnbrX|t   J      0 >            3`      u             @'O       &I        `      u      ?O      QuestionThisSet           Set1_CorrectCounter         6                           TotalQuestions_Set1      GenerateSceneIndices =       @ 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. GiveTheCorrectAnswer  UserResponse checkmark gotoAndStop index sceneIndex shift theTrain HideExplanations FrameIndex _totalframes RandomFramesTrainOne myIndices1 QuestionThisSet questionNumDisplay QuestionPreviousSets             R          	R 
 O         = P 
 N H               =      N    
 R P  G 
   set2    6  @ dummy_symbol   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3` 	    p]/\3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Enter your answer (without units) in the text box.</FONT></P>   [ 	    	1    W1          ( questionNumDisplay 10 
  z@'Ž	T    of 1"         GiveTheCorrectAnswer The correct torque is 98,765 N-m.     ?q	4   h )" 3ff        UserResponse 123456.12  `   6 &   checkmark      v theTrain                @)0   @'
f+     @)034  
B    @'
f    @-a    @)034 z(0    @'
f       %  Set2_CorrectCounter RespondToEnter        =  ՘ @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.      x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/      QuestionThisSet   TotalQuestions_Set2 H 
          @       	 
      ?  ? txtInstructions Click <B>continue</B> to proceed to the next series of problems. TotalCorrect Set1_CorrectCounter Set2_CorrectCounter TotalProblems TotalQuestions_Set1 TotalQuestions_Set2 runningScore You have correctly answered   of the   problems in this series.

 In total, you have answered   problems correctly.     G  G 	G 
G G G G G 
G G G 
   setup_set3   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3` M   x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/    k  FrameIndex QuestionPreviousSets TotalQuestions_Set2 QuestionThisSet Set3_CorrectCounter sceneIndex Array             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> 	 [ 
  $I&I1      0   J      0 >           3`      u             @'O       &I        `      u      ?O      QuestionThisSet           Set2_CorrectCounter         6                           TotalQuestions_Set2      GenerateSceneIndices =      @ 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. GiveTheCorrectAnswer  UserResponse checkmark gotoAndStop index sceneIndex shift theTrain HideExplanations FrameIndex _totalframes RandomFramesTrainOne myIndices1 QuestionThisSet questionNumDisplay QuestionPreviousSets             R          	R 
 O         = P 
 N H             N    
 R P  G 
   set3    6  @ dummy_symbol   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3` 	   p]/\3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Enter your answer (without units) in the text box.</FONT></P>  [ 	    	1   	W1          ( questionNumDisplay 10 
 	z@'Ž	T   
of 1"         GiveTheCorrectAnswer The correct torque is 98,765 N-m.  
  ?q	4   h )" 3ff        UserResponse 123456.12  `   6 &   checkmark      v theTrain                @)0   @'
f+     @)034  
B    @'
f    @-a    @)034 z(0    @'
f       %  Set3_CorrectCounter RespondToEnter        =  ՘ @  ?:   4  txtInstructions  Click <B>continue</B> to proceed.      x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/      QuestionThisSet   TotalQuestions_Set3 H 
          @       	 
      ?  c txtInstructions Click <B>continue</B> to go to the printout page and finish. TotalCorrect Set1_CorrectCounter Set2_CorrectCounter Set3_CorrectCounter TotalProblems TotalQuestions_Set1 TotalQuestions_Set2 TotalQuestions_Set3 runningScore You have correctly answered   of the   problems in this series.

 In total, you have answered   problems correctly.     G G  G 	G 
G G 	G G G G G G G 
   after_set3   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3`     x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/    +  QuestionPreviousSets TotalQuestions_Set3     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> 	 [ 
  $I&I1      0   J      0 >           3`      u             @'O       &I        `      u      ?O      QuestionThisSet           Set3_CorrectCounter         6                 	   	       TotalQuestions_Set3      GenerateSceneIndices =      @ V͞  	M   w\>1 @  3        runningScore 0 out of 10You've answered ser  @ A4@@   	 
    ?   runningScore Set 1 - Twist angle in shaft (1):   Set1_CorrectCounter  correct out of  TotalQuestions_Set1  problems.

Set 2 - Gear rotation angles:   Set2_CorrectCounter TotalQuestions_Set2  problems.

Set 3 - Rotation angle for entire train:   Set3_CorrectCounter TotalQuestions_Set3  problems.

In total, you have answered  TotalCorrect  of the  TotalProblems  problems correctly.   G G G G G G G G 	G G 
G G G G G G 
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P  0G*U     ?  ̀Lӕ~y    3`   ͂=US~
    fc2d     @u L    30    @m    3`  &   o__   f%7fa5Y @  '   a6 $
  	 333wj~wn    @'U  &   ]_]([   f f%t Z\4Bp  "   X` 	      frB|_  *   ]_]([  33 f f5t Zn`|8V "   X` 	  33  frB|_  $   \`]_  33    5kZ}!Lt/
 ~    V     e@ 
5`    e@ 
5`    e@ 
5`     =8      printasbitmap:  _level0    	  	4   xĘ  1  333         txtDate 12 pt Verdana  @ A f   pK 
 
   3$PfL˸3r ܺc Q	ǈE ˷Cr v`D"H[`G1G   &@ `	%   w
!)   3         txtName   %@LN	1   g+/
P1    3        txtIdentifier 999999     $I&I1      0 	Q   V1    3        runningScore 0 out of 10You've answered ser  @ +@   