FWSx_ 'C3ff$1$Tp$2CsxtR.ItKS8/IDiG/klB.$1$uY$S2o75WVhdwQSZlY0QZMDv0A*4PX@%oƖ&yKhe ΣF\ 8H-,?ٖ`"u[V86,P pB#DGmM l Pu3{1C8q  0XQ ڷ` @`cGа18a:! bD|hȉ@L-0_! nXZx0h5*2 $>]S m)m-Z_7P)BUUI%G[DMƆA02m%ghkErO 9G/=ysv}Ж߫W8*B8F<b  QOw P(6Ly}i-|Ӱj:7}s鞵z (*sN/h$Ҋ!,fDbIhG_+?`a k XvumQ*'Jsi4r"K<9PEcox &LDpZ:Q1pSѴ>r@[jA-4bnIMǕr1F['m{@-A;mB_ؘw(kr]K}-=OPMyMJ,5WkmIօ:F i5$8=Q]KWË2&n/OD"32H"9t0"TΈFoD&@Ύ3#G PS ^=S" 7'{gEď!/G85GjmvQbEF?G#1EdFe>e;-j^"RH 1 diU !,w̋[W@(tPpZb}_ڳ87%XH "$A`LS߮ΚP:>IF|9td6cBfeFZt@YhQ=63IyC4S>9檰=4 WAkjbxg6ab4y5@oXRR[ވF jYrsP1&Q?x@BnEVv-})](IAM_@,"do%NS+vrZނ @A$(@ VB1,ILv}etɔ'{trǾw:P^đvv;0h; 4"6lfP&LFyD% (he8[t1"]u(+L A]#ZhCaS3Xμ<њ*2\W}bI^PFuˆwU*&3`7őan}HRCRP<]xpp̩ej_32cg"Rԏ6}b:P4eMTb>}4c\ěnY(,Py$P% R컸CNQF- Ȏ^]K"GerF(lgŇڗ= w#9s6/B#)[5!}J:ߔU]ք,9*P2yq$B@`$XKQlDȅ31?2 *4Q&^Z.z*)Ub1, rLv*DW&j̥fm˴-F`V+2'P xS5'uw jv^i {;sW V8C7ۗR{>^]K!AIL`x3'Kt$K zjb(P:8aaPR tFmO  IgI;;Xt]e/D\^[I @wCtǯnr'E )M[b:5\mP֞lufmЪXK]Ȋr\M"c(2';F,1m^yĢMluٺ@$ӖbjdFAPyi(JQ L8d[l䋜Ԟ]z/W~QPffd]gortosw5˶q8)i\#P*ʾ{O,CC(-"GCS.b=m 0JV= )E&mZ5<ˮ{9_Tbpl&G :bv _vԄy%laUN*P޲>Fbz.۱uiarخs&&VHA2XUM#4XAŷe]%6SKISY.?"3a`42(ËD a01GPں{(CJR/:W974H%Dyùj[ {HlȗϩE SE74CdW&-r#rb/jȊ)Ph. '0*&Y 5@#P>bF ԧ•1IՇV^R6G&M6U_m1Xl+ *͛UxY)7cXRjAaKP\c?Ӊ"pl$PK^zF ޿#?ȉ̼Fdivvgg(-(߹4iŔYE0( IEQe`diP+.uzF PmxM PX ?correct_soundR 4?!R!SCɑS0@B SQP8?)Jz*7h@!S/ qkC@^Iܖ(90gMR@N(w@a&Fa4-%q Q A` 7@Tk,cHjI Ƒ D:~3aB%yCL n%8cB~{Hkl$8gJ !#6h D  bs6R*PX ^a hEJFd8Q.^F!B z!{) @@) @%8HcÄhx4iX*JJ;|  A/,1AF JҵB,#Cc)W @/Lk4a bM"8 n$" ^)d%BA33FQITQ  Ic8 ScSQ^(`BC !XōfBl x+8ҁOy, "3EMJE*Tq1Cc "ƆΐBIKaHMB8KUP "e+vp)a7BP#ִ&u!&$ X 21ItHA:#(d1+V!FPq xB"[ZPa]R!!P5RF! (6P0JpB( 14PB)"% 0G-#b!E$Qߜ B c" %)n00o$/pA AXrB29ZJ ANY) eZuLoiG[X'(T H)JAœ!D/-!1C$(YjAJJу nPH0 B@d I ;%"a+Q^V8ӨT“B2  AijHl1Hx+CD(B Z沵"8"HE`)r@D #LOsI֑J[B 2 [FF9aRq_5  W!Qo5JU"dWs "CBpBٔ[A/ V3 ~Af9ZC).f(s$`i91s1i@@fm |! x EdJ&0h!@IxR@@- Hᓀ P5  t]p h `T2]8  0!\  X!I?incorrect_soundD ?X dTotalBytesthisgetBytesTotaldLoadedBytesgetBytesLoadedpercentLoadedMathfloor%HowMuchLoadedi R R d RG?HowMuchLoaded=click_series1click_series2click_series3click_series4? r!L3 k{eA ]>~S6|'~8 cÆ\@IRWshl#]^S u-ylц]@L B*; >5M-G E7]c'"eI[/rlQغѧ<>’+J)d+7M[x<]:yβP-*=uii=3рX.L,=$JV3!#ҠR;뤫5;Y~7 9J{iü2dJ{ iS\(.Xl׽Vrgn.vd6[i6 S.wd,H)q7Q*RR@)*VM02u vNք&#gM$:roLZ`3>@$Q쐋CrK@5 ไ3dJjiS)9=':П@X) G`` y@' 8~? oVerdanaK/u1\R|b#@R0Qn V | N G - E  1 o,i2N)e5A 6Ts5IBnMoVM?҄+Mh5d{xI>V =I>V5d{xI>V5gj宒mn#䙻RVEI|S03 3]CCJ&~$rsbf.`^5beF/f`q.w\w#g#Gy7(yE%M@Yn~,YpBH5Iy/*졸mvQ[NO5jx*=ikUkpd#+*fL2Z(ZKdrM؂V`?)arv%+RMmD/u(/[(˾׽{j6ۇU.r!-p5gnf/(RTUW@6JRҩ:e& RsZG-͔)r5Ot6ٷ6E3O L-hg1B -Tuз]>;mRIk]A(i@>QDX i|EYĠ-&۔eGz5jZy*W7rI@5gbekq]Bnpȡ))kN?[ϔVZrk}LWdS)&c?V?&.8uwYJP՘UGç.*@"LP9KNs'+y)RxZo- Bi@\ݶ]ۤhCn{dK5fӮǝvp#&nԽI(bH[ "F6auO] ezX٬0 t(͖wd=5qn۴֬~Ҧo\u);Pͱ imvZϛ@`KY{D8dPa9[Nbұt05IfybnQwgTR{]u5JVy/8ˏ75>4N00 ͢w6\r9 f1A @Q댞#D9( RCT\ᴥD)/|4eG>9sb5kfS4h䋉E~? #A  yWTfUFLpYkdk\O[G{S$pLJBmK5hNf@&C$|#N@Y K|7jxi L&(0M}_Mw߉ϻNVcQ5wi; & ]{vQ-MEů6X ӗw >dpQ]fsi_5jw"crj7#E#5kx]a&}a*mnqL@M1 2H;sW5l yѹ)(+A\ťb5lyF䯎 ߞ]g>oF7<Ò"p@5O/-frYx~wzmѽAjq5kxG A@x1~kB&Ƙ5jwR;vs)ۇ"LGq\5dL xWn]w IZI-pB`6Vp!),eԕ3Ųkt]4ہ o;W{~Bdl5fJNHI5 \c[! .A5ig@yMRku90 nܩmů '*J[5&gZb=` ـ-yؿ,(;}$ʌw)|?qj5e"(}$ʎ_6֐m?渽o֘Fa%h@.xg͉]n|5Nl'(f7WYt7a; g5d*{yXV/{n-@5heTd [RgVylb`~rtmN.sͽim` ܩɼ(knա5akMer,B2%JHR n1/z` 4nٺ<7Ŷ6P5jQ/VW)-bMF6vX 'Ep%% F~$sv᜷5j.tc4n~q '5lr<1ܠhnLQX8T XNXX]T$XFRT X*V`XRR`XCT(XNR`X2TX4R Xq%<X')W<\XJH X a`X_[`X4V$X_c`X_OT`X_N`X4^T$X__t`X>>T`XL ̒ X!Oa ̒ XN ̒ ~ bD &@4i@@ &@4pi@ @ &@4Ti@D@ &@4TMi@d@ &@4T}@i@@ &@4T@i@@ &@4Ti@@ &@4U i@@ &@4Ui@@ &@4@i@ &@4 i@ &@4%Ni@ &@4 >i@$@ @4R &@4 ni@ԓ &@4%i@< &@4|&i@H@ &@4 .i@ &@4%i@\ &@4|[@i@l@ &@4 i@ &@4i@ &@4|i@@ &@4 i@8 &@48Xi@ &@4|i@@ &@4i@X &@49 i@ē &@4|@i@@ &@4i@| &@49i@ &@4},i@@ &@4i@ &@4:i@  &@4}ai@$ &@4i@@ &@4,*i@ &@4;xi@0 &@4}i@H &@4i@$@ &@4XZ@i@ &@48qi@P &@4}i@l &@4D"i@D@ @4X  &@48t i@t &@4u@i@ &@4DTi@h@ &@48w@i@ &@4,i@ &@4Di@ &@4i@@ &@4pi@ &@4,i@ܓ &@4Di@ &@4i@ @ &@4pi@ܒ &@4,mi@ &@4<i@Г &@4#i@@@ @4p€ &@4,?i@$ &@4=i@ &@4#Gi@`@ &@4Y@i@H &@4=Ni@ &@4#u@i@@ &@4Yӈi@l &@4=i@< &@4#@i@@ &@4Yi@ &@4=i@\ &@4#i@@ &@4Yi@ &@4=i@ &@4#i@@ &@4YXi@ܒ &@4>xXi@ &@4#,i@ &@4Bi@@ @4Y &@4>y i@ē &@4#Zi@  &@4Bi@$@ &@4>yi@ &@4#@i@@ &@4,"i@D@ &@4>zi@  &@4#@i@` &@4,Ti@h@ &@4>{xi@0 &@4#i@ &@4,i@@ &@4|i@P &@4GGi@ &@4,i@@ &@4| i@t &@4Gi@ &@4,|i@@ &@4|@i@ &@4G i@ &@4,}i@@ &@4|`i@ &@4G mi@ &@4,}Ni@@ &@4|݀i@ܒ &@4G %i@  &@4,}i@<@ @4| &@4Fi@@ &@4,}i@\@ &@4Fi@` &@4,}i@@ &@4FKi@ &@4XXi@@ &@4Fi@ &@4X i@@ &@4Fi@ &@4Xi@@ &@4Fqi@ &@4Xi@ @ @4F( &@4Xxi@0@ &@4X@i@P@ &@4Xi@t@ &@4Xi@@ &@4Xi@@ &@4X`i@@ @4X(@ i@ i@̉ i@Љ i@؉ i@܉ i@ i@@ i@ i@ i@ i@ i@ i@ i@@ i@@ i@` i@t i@ i@ i@ i@@ i@ i@( i@D i@\ i@l i@| i@@ i@ i@ i@ i@4 i@H i@\ i@h@ i@ i@ i@ i@  i@$ 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@@@@@@@@@@@@@?@ ?K-MathcommaFormattedneo.inputStringsplitneoLenlengthneoStartcharAt-neoLenRnoCommasfloorFirstBunchsubstringwithCommasSecondBunch,ThirdBunchneolenFourthBunchformatDecimalsnumisNaNdigitscroppedroundCFtenToPowerpowindexOf.0halveszerosNeededi0toScientificexponentabslogmantissasigDigsoutputeinputString R< NN< < N R I <  <    R< ? I     IL I> NR<< I    NR<  NR<GG<7 I    NR<   NR<  NR<GGGG<? I*    NR<   NR<   NR<  NR<GGGGGG< NNHGNG>Onumdigits= J>_ H<RK<R<>  R< R K< RI G !R<"!NN <#<"#H$G##PR<>O%numsigDigs.J=>&'R(R k@U  R< I &&  R<) <)* )R+)<& I++,&GG+>O?9In function StripAnyUnitStringsLocationOfSpace inputStringindexOfoutputStringsForesAftLengthOfStringsubstringoutputstringLocationOfComma,lengthisNaNnrtheRandomigapMathflooriflagjswapTemptheIndicestheLengthrandomtheCopytheGiven$StripAnyUnitStringsinputString&R<AAAAI# R   <  R< Ik N  R G RG I>J= >J>$ShellSort2theRandomtheIndices N< R<AAA HgI    HGNNHNGNOGONGNOGOP R%TraceArraystheRandomtheIndicesJ N< < HP.FillArraystheRandomtheIndicestheLengthy < HM ROGOP)CopyArraytheGiventheCopytheLengthU < H)NOP?txtInstructions introduction? #SymbolSf4Cgx"x&"8~zi 7 {  C F bfV`F]+W#G3Nfc & C 5ae|$`0 Cet-MZ../^ IPa%LR!H"5h7)x,.%ĞZ";ʳF\ԙoUFʬ~5K3`t"5F)^VUhfe1`<-֭4ޔydgUk#F=>S"J5)Fa%SNL4URnrfVXh;dnnհ)5`^tkA$$@ i } 7ѮWדŘNa:` ـ${śk@5d]V;-n؞KV~v#5+=S'@/K&,ѪV\t{oMeiI(,' ӾDl P4t5@A/5+@/B$ 0 @)C p$\Q\5dv𵫩cz5D`:p`N`$lg  #,#,0%)J|AXRԘ`Lso)-,O`Fπ/3X%pO) 5au@9 :29xtR܀ݭ߃FP@DG3_5e75IS1}fIVC5@ ,9)@ +0 ʖ 2op.kfThFW%|@M[(1OM5f x[}]՞n7R_pq%Cq5fV&tB$&B=pk+ bɮI+xVBH + YRLW`ԕe0e7EysױZsK|n<쪀5g2tS\RZ+1Eڑ#dP3fVN6hk Zp` bJ+0&C?4Fot@iP%C:`U"{[С\@5axC#ʳ۔ic6Z 5bsd5ڤ+D0C M,K_&3THȶVK9l&'6apT8#(l: 42$i@R?Ra4v%`Y/J.0 <7+`1J ۙrrGL`5DT ׀dV,5( $KF,Rh^Q6@x+1vFd`ـrXb@քB=A8cKqJl7md 3fR.w1ڨʀh5F4BKШ ) $) QD/\ dA,^/` IHa%LR!zH#"5D\SBDi_$ @/L0 $C,̦_(MYf5T)ˀ,4V1Ly;JG@5!9zP'B VV5ad#ې:@43$ ~%Y5U&g0<" ywku/)x"BA^`rkmRL-sKPrN D/\ dAFKФ ) $) Q5ei0 )t!L7m^ۤ.Hg(lh*ѺU~tk~ߘZ &xKq5ff֣L‚m](T _e`V0|S. ̎FC1p_.J͐+`hݠԪ(#R˄5Z6 . 2d"rT.\C\0ו}p%g]u۟m@ `(5hvfnZ{ѷq㢜qJ]JmHzVoHf=ZuRtn֯֔5{^Z-% ir[kԸܪSSޠo&ɱymNtSC#@0y9gj5OürG2uRkj5gV|nQPĬ) h'ж_3{]}ܶn ȥZ`{T$k)0tUr_]Py>` ?wlByNJWB{JL`5fZ٘24_3*l̩V.ܯM$q1!Loߎ|9* (T@ZE. kFJHZi_.i`"mp Y/3e-e.YRdSz?( yKeh4n%.?L|4 %򖡝Lɀ.:o5i>-n.[P 7*d$IP RഴnFU a@Wۺ]۩пFDo 5fx-( %@`0JJA-Py=ٗΘ <:RRgE. wF%TyFpK[\i@h觡*P|erUhQh5gg?SVR=zNRߩwK#@2ѺԽ/xI6qt~)#$]ܔIPNeɹMXUTjkkY@0&1ӘI8WČ40IlTunEe7$q-MH5gvͳe|,\:F{^ѝaҕ*)p[7h1*3|2T&VF zK\ Czv2e5w:)K`5e)gJXp:)p_z7JޒJvvIK@J8bpz)nLn'қ6~@5lnx[@>BRETcE. F%ViE:羑ކq%i IPA"7h1*J/2,#l.ݔfSF1+۸OBjj^95gw)Q-PKԀ2ˌuN5crNH0'0 |'g@)$M+f4NczO*Srȋ@/N>ڀ,*[\t`Pe!5j~x^i@*$JRdKE. GFXI_R~P %4KѻAV'R{Vᆥ_nwnByzKPR$H5c*   :d$ '$j@Ʀlk 0Yzs@c" rLE7W|cFfI@(/5[ w5byYV3U^䓖@n75U]5I'FL ) $) QD0\ $ALw `,(H/ PRI~R )J@ 0 d0EA @|5`rIWq5.z@5JܙxӰ~և0hP|8(7Gk M7%DMtv˩^?t|4eٖSIL{x+ Lx 6u8QΖşT\WZזz5gbZiu&rt1̍%yg[/Z86UfQ^ج!YgKVRUcec LX-Q$#e#14#.2HxpV0]X;Rf#”7v cn5D4]@%.tZT#akm M8PRRdЀ(-%a.sI e%X}㽠m3o\7\uΞ$9 h@,,^R|ќF}.MǤ 8}kn\-C6u` R-QؐD0H 8+'f*;ZYMx&G.ٜ@ROc]Up <5d^2!h(}KFXI:q(~ֿٌ:;WBJx2W3kksv!$? U#0^4 zn (1xeio:\e5AE ,,Ѫ` JfFGM)E -dó {ʽl:s{n3ްc0',Q2RgJ ҏ~rd5F{P+k~ƈKyBɂ/%9X U,baap4 meG0 W<^SŤ(o0(3Uk o %0ߟT$ BITd5FSZ` 9@#x9E [AIyG%r $טv[hZM^i}=_L5JmJeU/Jam )teV +$HTzGyۥ & ]Cr"W 0p42`h S!pK}fVn$ff,%+DINASL5Lw`$pOR@32$ <7\)X*|AmC襹 ѺD>р^@1Mb]d@t>ތh)ގb5bvD  I,H )-*'&A(A%.98%uwbRo~i'$ ՗YO+. ȗFSW5EmHeAi ]cdXՀ|%I%aO.$G(P#h9Et oAYej mզ]ZȖkeZ uCPm2 oK5^5Y֘>BKn@!-`5 k nkmN\G$f Gؚ\2PUQ}$) R{}H5Kmo%O侹Ll#>p<&\cfRNVI{7DޮFM^#-4%nfٖmf5&etp缏2"1@s=JE*G 5g&%k$muٵey}%41 ߚ_V #|` B %9/ #Wi 5`yje+%ٷ vmXWm\P (ɩ&'P-sL+%% $#,FRSDL*݅iTh`,5pDKʠ90-@5pDKʠ90-@5bB&ꐨRDrT R=qLtУx>ݴ"Poҽr@il (5A8 !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]abcdefghijklmnopqrstuvwxyzUUU222srjU:^r.rUtU22jQj22N222jNggXru,X1U5hP:EX*'nX%tnXDHݙUXDI%qX#X%;0Xx0u0X:0X*5u0X;0X17hX-;50X&:uhX>80X):0PcEpPm%XXDX,3,X [U,XNuhX [5hX L,XK5hX$]5hXIhXZhX'hX'KX]hX V,Xouh_ZhX&W,X`UhX%ZU,XChXG5hXJhX W5hPH&X^,X!NhXcHX JuhXT&,eXWX% 5,eX*MX=@nX#AnX#;PJEX$>tnPXCXnPD X#InX EXCTX>GnP(pX,@ؤXAX-=tX5@ؠnX'JP,X$BؤX!WX(RؤX.;nXTؠnX.<pX4FX4FX5.5/7 qg'g 3@text

ab lot

D @ I@6@dummy_symbolTiSd+G$p9W瑀3`D 9Wfc2d#x I<f%E-ȔS%Exd6 upfwG-j #fw$v#|g@ uL3 0@ m3`;hB fjhTz=pg#{fj?= F|!I $I&n10? TahomaLAo1_z"w ; [  t  9 X w GP 4.Iv5HBnNoPVD?؄,\]c5c{xI>Qk=I>Q5c~{xI>Q5f尒mn#ԙRVEI|S0+ 3]Iҥ/<)q:`lLDG*TRL[5ef8C9 J`4izN]mJjv,BwS ]UL]q7m,a[-6.fqo=TM<5K 7o q @7P<r5Hy㨯F*qn5L7n f,5/uOݞn,@5g{yYpID5iZfH^&oo0fl 2y啞n&tB`]%`-iS&Ri.5J݁o?/SݺPe kɺ؜WRj<5i&x,Mi?Ak\E#/*e0\([KI(B@?)brvDK[u!7 Md\{ }pn05ff.DZTr7%6ʌY<] s:&O&__f7mۓj^MxC0¶%p̓$[ sZ3ez@A9G@>CLlȤ!4+KWP p 'q\Cf3"J2ShJ#6HXb=%`90#Cų_siK J䤮$*,8Li>VcH$Ts\:!?*kED?m-K!84-/ tkI6y-O@5ifC_>n#nGoovc8vڎT]΢7#|4l6[fm-Kg3tZ1I򔜒.51b BR$4EB`Xw|L+ə/s H p]jIH8h(Zc5HybnSgT{u5Iy㨯F*qn :OrFFѹ5f8WOڇ"lMpl q*JM m\UP)"TX(KUrC8v;>iUJP.ۼ~r5]`K( ɕmwWy5ij-з]z.]oc7qE^xN$*1J_5ɠ]|!z;=RgSyyYe@j.@mʀ5fed&֯UOUMc4` ~|s˗2IyZJ 4iMvY615^p+r/F7`B 5ix,-KW ;85ix,}gA8T 7-|Q5gel~\Gzg #鐏@4ݷn\7n / ߶}'=@Ϙ(Ӏ*&挲2Д>=п]Z_' vz5k yWF܀[^Z1D775gv%x^M߻~k6%wo 5abx^T(˽]E4٢h6tּ%d)ȹ 76[v5N,⊱9=n.T'um{+ 5hwQ-]5iwr ;ŅT9hcJ))5k.yWF3<rF7N֫VU5g*u-Kfd;ɄFS"9is0xjR6S^KʎRQ YB'T &p@g>h'4yp:p4T5f^dJ?}.1֧=JqLiVp_.O뮒JQrm>rF8Ԫ_0p5g*u-Kfd;ɄFS"9is0xjR6S^KʎRQ YB'T &p^%zpP-W`5'=P B ,P_Lܼ~=ϥ*S) 5fu_H;FP$o,Bl[$ֹhJuN &mߐq>ؽDw(ܴc,*̀5ge u;LLI) * GjPÄ'LR>ko{ݧ#1ȃG֫:d7' *Jk̛k4` (z2iBk݉5f^yRnI7n\u$5jʌx]*}*mNqwL:M02 snW5jyѹ=( Dq(5knC]>#;`5Nxے}srcx~cz g֠5jx oEr.W$q#/mp5iwQܖvWx+ۗ")Gq5dFHc Wʖ]x c]2:?:l I@B3fS6å z;eJ{6ۆm̎jv_`T: 3FL@',>RԀpF6Rݘ5hgmNk) wf\ܬrm '?.U4$|I(ִ++L?Y0g6K5h2wRiwk\^nͶ^09T( yKiZR\v"5?|U-kzdђk0xDc*w{WB\-yp5fN{w+r]X~fȰ^ʔV%=qfUbj@V!؈*\d}w>Kp'4K)k_ESL5e@$i$P U($HsK">}o3 &Zىֿċp;-x;kX 0)$5hf-6g[w*7V}gI񮟍uIQnTyg⿅];%S 5c޿(}$+ʌw* ğtRDA(Irj"}Wsn ȊQ@K&5h@imNk) wfr@wʣ[@1狙Za` ɀ+nX tDIH|j5i WGdq8$  yRħ,*L@J{PG>.2>%ɸ S%W5" &|5fTz~FWʏ-WkEZl'\k_A=)5fNb1 vdvZGm6IMiL-`mp:W&PjIw$b[/Y7y=beq@5i>UDUWsqqvX85hwPo27oˏ:D !"'()+,-./0123456789:;?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz,_F@@OttDvSJs~e`5ti5xQkNXL"t`X@6X<X753gX(3SgXa\WPnWI!<X;>sQX'L$XbIXXLM$X4K XN`X_&3jXCNXCSXCrVXCJ6XK XCMVgXHVgXC74X?X 4X?I<XJ7<Xq<_M<_Ive\pf W_t}ӟ6-ܶR [5pc1~z'<|@^;I%ușaMl>5fnlQݯҵ$00L<83 S0>bـuR.iCց۔NZ1ޮLX85i>x'g

}Vf)OVj 3t&丛zp8љј[7!lf_]<`eͶs5jzyWF )Fpca$]8m͆05avm8m͉TŲmll0 5e֌yQ< Xb̀m{ID#{dX${@xd͏5J1[6k?u;F6XN+LƴW5hvV8"Z1ʤ8@5kyWF-㘶xrg*أ~&;= 5jryWF7=?YT-Ms(Il.5j>.2Ia r`΄t%F&O:m<.(b2biy@&P@h+[>HI!&Lg9dS_M5fdze=”*ma7R$bNPk92[ZK2c\a?- M'`;ŠNэV W HbUgK\5kVfH\f^%(&Bֵs(qR6^>CP3Y`sMͧ6EsR\L1p]1fz4<ɠ( ̀4Xa1qH+V}8!BMo rmo즿8<5fwŒ2mRs:Z^@4kY2]yYe\&FL5a{yWEUL텀5ej{y^ws;=5feV)yP R)6^(bc]cR\$m3:l )@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS;vin6̈́m5b{xQiS[U2q0]/&z%Rh {nب AN,͘4J` ٷ-%)ks@A#5gZr.Zn&6D`RiM5iiv̅gz6 r.l7fH /e2]ݪ 5h{yXVikNZ&p~.wW&RY%[ R;ax.,w$_}5چ 2LDf* w5DWP&כobk@ Bɴ~Q ̗^3Ǩ@Z&Y@3R ф6JRcVBKDfg6[Y[Ppܗ5f&}U/]{ FOqSZw(b  f1˘)t[z5hx^ ~Sf!e.%ݬSeAЎyeYkF 1n'ـ.s%)-P]_Uڤ{Hl,Pm3@9L&!1MH<%Sn>[[yہ5ef[/7jآᰶKMg];k[ +`aQrmjU~ 5byQv-^c lKl5l5dyQ YSgVk\4 0kuE. I6{6;0VBĶV5J ⋥pn(g v߈5b{yXV,^5kbf\,8jآᰶmi]z[,;'ސ^Yv(l-RdV\Y'-v;\Ka{U-*lJ0Q\h/*M@5ef[/7jآᰶKMg];k[ +`aQr-WҬd5I,*b i%5r˴XmSPɀJ*6LA8F̍`32bx8't4PՌ5bu]J r̠ <2qu<)-2mk7][\ax(=seLL76uW#Ȼ=A#5hyW -DIKTNbOـ/3\ VB+rdv1@+j8XKA*2p؛n6\o6 DfJ5fvX2/]: N3bl/lJ⚽Ҫڴ`u 5ff1\Yp fR['2e*Ixnkj.d 2IR%` d%gfqf[!eZI[dWenv\۳n\6Iؤ:h敜ymf 5a~wk ۪~u @1Y Q2&%@ l R@+* 5iy]Cϐ]-n%kyī65lny]SpMvO>t.PNGFCax5K-m{[2ėj]ӭ=nw5iy7ȯn7V[ `5OcOvn/eY@5gƼv,70 -*Ö5Nk7$l{0 2f*cl @ 76M5hqx e@5fΚ:ݷn  fj6= s%i@]Ͷ\i %?@٦ڟ׵_eyWP t& !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]abcdefghijklmnopqrstuvwxyzhFuuF/M:_&j&wvg~~bh~a^n~~^F^^/+X T`XT0S XR3 X[1gXJ.gXi[ PnEPѷ@Ir_5LXEI$XCTXQI4 XTG X'KT`X^Ht`XEJ(XMIt`X=IX9I$X$HXs)7H\X{YXP>$X U`XdR`X:Tt(Xd[4`XdI`XdH`X:Z4(XdS`XE-t`X.`XgWt`XdGt`Xd_t`XdS`X:] XdIt`X:_ bXdY`XCP4(XN`XYR`X U`X.x`X"S`XNt`X?P`Xx/bX#<LXV+SbX4AX]IX5?WX6DSX5FX"13X6DWjX]FXXTL_!tLjXaKX^X]qX]FX5G7X]IgX6DWgX]77HX7=X/XYEHXHHX+cwHXHHXHHgX/>WHX>2X]:WXMGKqXh<'r!!'A',,.,.....:ASATAUAVAWAYAtAuAvAwAyAAAAAAAB,B.BTBBBBCCCCD,D.DTDWDXDYDZDF,jF.jF:F;F?FAFTFaFeFoFjFFFFIIIJ,J.JAJJKOKaKeKoKuKvKwKyKKKKKKKKL'LCLGLJ2LOLTLVLWLYLvLyLLLLLLLLO,O.OTOXOYOZOP,jP.jPAPY PaPePoPjPPPPQ,Q.QRTRYRaReRoRuRyRRRRRRRRS,S.SASSSvSwSySST,oT.oT:T;T?TATCTGTOTSTTTaTcTeTgToTrTsTuTvTwTyTzToTTTTTTƿTTTTU,U.UAUUV,oV.oV:V;VAVaVeVoVuVyVoVVVVVVVW,oW.W:W;WAWaWeWoWrWuWyWWWWWWWWXCXGXOXaXeXoXuXyXXXXXXXXXY,oY.oY:Y;YAYOYaYdYeYgYmYnYoYpYqYrYsYuYvYoYYYYYYYYYZCZGZOZZZaZeZoZwZyZZZZZZZZZavawayb,b.bybcTccceTf"f'f)2f*f,f.f?7f\2f]2fyf}2ffffffhvhwhykekokkkkkmvmwmynvnwnyo,o.ovoxoyop,p.pypr,or.orarorrrrrrtyt t tttv,v.vavevovvvvvvvw,w.wawwwwwxcxdxexgxoxxxxxxy,y.yaycydyeygyoyqyyyyyyyyzczdzezgzozqzzzzzTVWYTVWYA,.AT7V2WY7stA,.AT7V2WY7stAIJSTVWXYZavwxyzAIJSTVWXYZavwxyzAIJSTVWXYZavwxyznjǖǗǭ,.TXYZ؅,.vxydpL  YB@6߂X|Xpq@ fpjfv׀~rm|䈒@ q~qǎpttrt 2(wү$` 3fB@2t?7Ʀ!$m2t89fm|rD$@8$AN迎D pC qt_0$! l`C2gEr$0c2 y#b! ːS\;a t_12GN,A- # ˒?>"P̰!q[0#/.ANqm Ll`H)@{ 777+M"``r=3WWW{T6l WWW-{Z4 Ђk|6Pk4 ))) 7)))@oF:5p(N`B!XD`&8?B>LČzlm+s,_riLh`E۞|Evr:'Clt`X@F@/>9)|F4ʒƶ@({qRWP:LF26ӑ{ypQ[TӑGA/2.!,(>ӑ.* zD`{qRb[A[S<|DbZAJD1C=,f4z@:*uUxpP(}?m,@vq? ,V~.p3y}@@y}"ƼPG}2.&8ӕOO~ ٭ʏA_-~5U};H+e 2)QQi ,`2I8۟găs8DW?Qs"Cʕu2t@gHĉ Ls}D Ft@\mH@#e{&tdHqgOcsL@DikYUkvnG?,""לʤ"⠌3i "☊nW:2*艳Beffʤ",B#͘2܈#402%C!e[=?!쩙Q9CyqtH1[F+rW8!lrg==!L㨁3B Ϩ#8 LsR Lr̈C(3 : L/> L"Ye Kʄ \ByE\3ZAC8ӏPw!YC*xDsӃeAs.;T |!sFnCD +ȇ~F. Ae̠D_qןȋ &5Dq_H8 Bq܈grߑV fkr f8 (2C 4C خCC!y˅8P+mx ?;,B|H@}r i ̀`Bp7L ]~K/؀3* L^p7!Y ?U$W!A!<;H 1 ɀ `Hc3w#8Ȏ~P&܄ d B<P3,; Afbh#ǘDXA31sDbb.H.;nLDXBSٜ*?p?+b T\/3SlUi!܇/e pp>=rG? o?g ܆22܇83Mq;h# l0Ay '/Qp\0}!`;@M>;* 䉀r;;-ǨnH܎3MnCr`ȹs zu ȁq; i=hnDDAܐ&VCr#zNLq+/x~(w"fzu{܉=rD a܅IPq+NTw"X3Q܉P"Kn:Gr#5i x,w$b:4܉=rD0 ܇NkE(mn@K`ȜkP?޲'V'@(NkjkDmnnnnHZMMM 'e,/&E?)Q_C&90+M"`@{ 777-{Z{T6l WWW`r=3WWW.YktؖH4 Ђk|_j@:===*؆L"꺆SSS6Pk4 )))gwD|Gl{KMۈ 3E"7Uă QLEX ~'_Bӵi =;ZEac0vek WIf$D|SCSvRִy 7A b_|׺ w+K$Hh_$H\o~hw 3ph$0-aSd`fct@Lw*~i`Ӵc G_OGz'Ҁ333~ZuƿlE>HDҵrg]mmm;;w T]iiiT,u?mmm@G^?8tM@W^h///wK///~ԧāl,,,===S-Z ///GGG---p,,,===M@fWѠ---```UrlGGG`Z%_Ԏ@ij ```S8\\\kl(|#̀t.[%Ouuum? )))444(((%%%Bh+cl`444GGGŦlZ444[[[ =lGGGmmm=l>===mmmklR[[[G444\\\9"$$$000v? $$$444kXlĿ+++444)))l$$$+++&&&"""@,&l000GGG`H)[[[ p000GGGzl====mmmIJ&[&tmmmx[*GGG zklz~fğ0uiii @Y 4T[Ao)*#֛@###j [<_222`Z4V<ߪYYY---i;ooޥ:1Xsss袚1isssi[?yxYln(m6zzz{{{2*#[;YYY*~ BOzzz{{{ժD?߀zzz{{{BGzzz{{{zzz1smc:::},mc@NNN)Czzz{{{.FO݀zzz{{{UՐ777Uٖ444<,e(777~BehE;>BY` pe MMM~HvN7MMMRϐ%@ZZZ?ϐUFM`SZZZ&?RFMi@޿!N>.fK8g@bϐJOnnn,d ZZZ.w;ZZZ:~W nnn2ϐ@yyyϐU۸nnn, d!~!h,mb RF@ܬd$ :::ӳ* yyy mc Պ E hzzzyyyeKmhzzzyyyCvfД"yyyzzz.v CyyyzzzN C0yyyzzzjbl*@Pzzz{{{R1 8zzz{{{~͵t@nnnyyyFx~~~~~~ ͳ ~~~4 fp ~~~5wjlH{{{f6h@sss*6$ @~~~F~~~VxV  VΔ  VdiΈ+++i[9mCCCjz֩>pn```4 V }}}ZnyV'444RRR+[@@&&&===znf$===```mZiϤRRR}ɳ CCCnyμ' ++++[; +<@ +@!!!444]*0yyyjnZp"""###KlǀP>>>FD}}}ޚ85h$$$444i*l444[[[>ѳ(xxxH $$$444}*0;$$$///42̔ xxx4 V8 ||| ͳ> |||V̨|||Ͻ///\\\ ͳe }}}[i?&$$$:b$$$bF̤$$$̬V\  9`DVD.6 @|||Wq $$$)))fv,@xxxͳxҘ $$$ݳ$$$ K$$$000YZ  Eگi#$$$ų h&  $$$*6͈ @}}}C;)))GGG///\\\9()))GGGM& 000"""qil@000uuuu2 uuu6[%?888:i8[#`888Bʖ,.H444hl 000uuu,$-l:iiijh0 N'lBP444QZ """Ფ """ZA MilbB99   qͲ 2lC"lCfJŲaPߢlC f) 'GGGuƗQp888vhzm`"""8882}U A:9[JJJ>elfHHH c@]]^:::BBBb*uF0B@@@袪JHM /] BH8JJJ{XEmmm%bC]mmmok[FFF潃']}%FFF(u`KZ7[T ¦uSP(>IuF*"b]_KEm#+w (@@@^`H DqZnmmm+&P9`FFFn B^FFFS'^P@@@6wBg^Z( 333~€@ -B} B"u w"S#YQ66%Afڈ=HWQI-aqR8!nr9ҽj0JkCmF#iXV"fq5T"O"}7] "~(buZSz"+WUبE}(ah#> sؑz4؟9mDԡD׮{D~UB:`=`b>jZԾ$J iⱂLlMIqqա8*dO=BmqD0"'ܻ-6/oM*-6"uhMP[vڎqW 6D׾0@M* oF 3W@ %"Gq"4Bbqa`1g;D 3  iQoQcd!N.N F/ڢ ݪ1+v @@!-biXvȎ X_n;YUD0+qB xF3_>0M=#E$0-9j1y8Fx0>W 6ƌ:=da.OiZb](ţ\}!B ׹NWD.ٸYbRlĬK)#_gYD* iS 1$C!B!^-h;e;""\l?FI:Bݵ o!1S&8KNA8W61i]pvBvЃFfVϿFF6Kҵ#oIP6A>|B=i=|Z9_m#Sm RO5'{Oö{@nuEN@I{ $ HPve hmhHHքmF\\"V,r;g$CI:Oe$!'1b&mbBN!LPDck$4~"n(P|vM kE-Dci]gXt1F-bΜ~3"4!Q񕘑#>chxvMDkEmdJm܁*(8}g_Ξy#n7j# CXw1r+n$.ȯ[P~̬'MF":͜%Ds`AlGȏxG ֝RЏۓ|`G}瘰80g8;fLJP'3bp@yXTaRktJmaQK'$)(t ;fǗaQQ&AaڐvT";DĄb$.aR^ F{+ HmI|$vm qj+;hx?!Gj0x*;h}JiHFɠE]hɤ e}/;' Ե;fx# ٖOQ8lVql)+Q%>Q'4xvf4rbca*:DаI|f* cMq *zAvP Q4*MYZt[nO]Nk)m7;fY9ao ,o2pu- QSdjj pZC@J+$We7bQi\2(J=UbZi&a'ph $,{%CT%v7Ĭ;fV"(Cُ(Sa,*=[eT bc8v`u2PuXDۨ&h,;f4{ :&6ܶ26T[gD3bZgp}D kl]Dz[ g]wۊ&\a7ZNYcg`هRXB`ശ!XnA:%GCJ e~v[DK&an`j08Vp;%1\ w޸L`_o[XkЗd}B4 ;l(A4Q M}4]axY>'/" [i ЙXgڙ2&>1魁3686Ը `,mQ}Pb@;eZ ͫYZ;b$cq@NQ8w?mqNNK7;ƴߧifpm3Xx ԇ<I(MZ&L>:S{h%a%m׻ג Q!'mlǴxvʴ;|yy 'g '^ҧ>9x\KFEonPussDBas3c'@ߡĎ̼3C'@Жǐp}bS(cܟv(+k/'2ȹvUxoP1'ۘb,C)Ӏf,)ݠ>'iїʒB(BЗʺ³C(bĵwtO)A2.ukhȐ8ѾiFѮXڞ]үgkڝЗD7?k^|Z_+ʒƷkrȑϿL)'`ulNmdH_͔ŏV*vmOYR;PJ59'#Tޠ-<7(3U"<8(+(&#@U0$nb_=U %Pc~tTwnO9'#T$|rSc[B[T=U$;6'-))%H)T@;*/,*'?'T"^W?HB0A;+i2.͔Ĵ}~/hrXQ;HB0C>,Y+"^uq50#]rgdjRqlu.sa~[Q[i}sSsjLl-ѡ;h}ZwVG(9$!RӁ]h`E]U>|I\qhKh`E5&щ<7(/+*'A2)ԙξǷE1{֛Ж2qhKVP9NH4?ȸyv@;wli.+00SL7@;+;6' @(Rl`\2"qriLTN8KE2ZUN8>9)62$9'"ѪYR;D?->9)RR984%($" ;rѪS`yoPriL5њ>vmO^V>VO9i-#)ܟ͔Ȑs&ȸzw& @iaFRL7KE22'|̼zu3&$@ypm5&)SL7GB/C>-3#'2@{ni 94%4c'N@sc_1&Cpgcs&a@l^}Z6C'hm}ZuTv'DrڝX)b(%T)y2.!&#" x/',X40#8#(gzqQpgK9#(H^ldHbZAq3'՚ʺ&̖]pgJg_Ess'd@їʒɹ3(t@|rR]V>TM8o'}9c(g_DLF3D>-7&諀ypQ_W?VP9k-c'@wt\+)LQJ6@;*:6']+) f^DQK6KE2`,(|rRd\C]V>e(_xoPqhKl(@wnk͹(侀QK6;6'3/"l-(D̀qfc:C)$=8(*&$!i3(|@j\zX7c'd]CNH4GB/'pҀ:6',('$ȹ'/+!S'DOI4=8(73%S&}fvUyoPMM\eQ q BT wGO3cHIyoOg:s9rA[Hhs12/Oi \^VF~`@ ~cHe5`.hPuW赜*n+Xqʊ#r_8R IsZ}[HleO8NHmgtސ*N#g9#rWHVi!k9#/y? \ʮ#ѫ:M a3 #ְTyΞdZAcHi0G!QDwΉg x!s:m?P#:9ơzO׬=!HuէtW7ebHSσQD˕pFm!J#&,˒#SrŜH1|# 9Qk8E:DE}?J![s:QO9-9T)ek\E8)DNb'47P2/?U4@zNG>".Q!ufD=>Ȉ="ȼ`Ow3;STly16޶HhMGs;TV D$FM:/O笴NRgItgdح%RemIM"/! 䠍퐓vRmBKLXMՀrvwJVdDEേj<UAtOgL op+̈Z׸4fd+\Jx^8,aڵY%gs""_V  ն S1C`E=>jgXD6UA؋|W-Z.'!sb/iZ5Y9^#>b0FLDPFm?6#.[L_3" #nY̠|dF"!&i⹑/8zCSH.40X>ڳ"#Ɵ-&=d;V 9#)DNj~Qj# ]c?A;VCU 6| [֕8, ڣ)p&CB^{KNGj|èU#jeAXᐃ3qȱZ`9d^;SP&P Ŏ1#=@yzHPs;Sl Ǝ2bu5g41v_UD'éR˳DOGSV.`bC j0.hEu2tVQMKUDȪi۸ Ü. 3:L]GSPGkL(u5ed*W|: @Ma 0OSTp'z#8ֺB!:H@ఇSNHu4̌&X"Jp'#ҢY)L!v1$h)tƐg "Ii1%3d*(ѓH.D&sA%F$L|A|bpUf\_䰃_)T1 5P;󍺩r=!#q !bD2  A}`IM 3(/H.i<w/ls?]Vx7軟#~Tm!赗S\Ģ 8դ%%#CGX$:~PJܲ" -aZ\ J/XGZ}LK/ ]? %fU3 轟2 裗PL,ˈ/2牁Q13+,K̮~TK`l\)qM>%6(yZkK ?\&>e40z%UkxJ1+.rLJ} MynĨ"Ri"Q0J,Ϻ CzE*}l?X 4@ZAA UDiAtbB0@!͘sBk@!՘ .`N8嘱m Xz5ʭ0A|㰀|X}Vh-lo]KBkvUݍ 9 E/XZ2vUeQn06, ޞBitq!6~Al ؁:yqЁz4W_r8AMgDˈ OHg"]3BOjHeBUypt:/E*f.ˏĨ|JlSl%v*UeO8J~ &ʓ;uX%nDX$>IJ%ƐHwk!G*-oXL["%q1b_k DK4j&qDɜ`mF#x,l3l\sOki*v2(vWN OvkpVWkOrYWZ+*d$ `-ⲿx?_udvU ? O CENήi*U;Ro^{s=;*oȅ,;,Hq*P^ imp rLvleq.~7Od |Zdo;$BO$#I|1. LvTpS#h$3![ZeCvXW*+$xR-R%vTpT²Lx([g` 0˩&U|jCen]>ݧeef~?, k}_cɚ1cʦ3Kv"e}оp .K~i +5P;*/(vVދ>կQXf%C [_o[-C+tணeA%(;)(x)!,汁ʺ4N 6J_p+ⲫ d< 2du+*`8*a&geʍ$N X6IQ p- 4=5| Xेd;$8@)*8O?MIJ~6T0WpRD⧁l 2\򦲸Yd,+)D8)7Uٖ444?]p333,] EEE lCpEEE"u^x{?~i:ϐ^EMMMϐDEEE K>A^p@ϐJtՆ e MMM~PEEE&ReǁRϐ%@ZZZ?ϐUơLMMM~Beh LA~HvN7MMM?ϐUFM`SZZZ?RFMiE;>BY` p<,e(777,]444lC8333K>A_F___ >A_~NZZZj'x ߕZZZ?]___000P q0XcXL\Or'}D+ZVJWB%ޫ1sE ,H䨂W0ѬFJj6 =Z/F-pH%k2JU LrT!%_D:d V@C#tȜ%6!Pw5L2l .J#917ȞG\`+f\f-v$)0_  >uk KF0mʖ Ӌm1;*X3^.*:dgX,{w@o: a0fAgÈi'hA0xni6 c@333tttm*cP}}}444octttJ=coooƘ`>>>Ƙ???v@555}}} j)444}}}73V}}}j=j(`tttaj~_gYo@www222ů̱wwwߡsE j^^^ƥ@#+Qo0Rj],^^^<Ά@>>> +xh>>>|*-j(x j+@???|+cPz*-cHx c???w c???s CcH>>>pgJNV@@mmm333=ZJD?-؜u666r~ʔZī,em mmmqzb mmmp+bHooo333 bȀH333oooo*bPttt333pbҁooo>!n\v]{v>(:;U!MwBvoÉ. 1b.F܍`*[ ?nNӴVz5A/K:i`,PuAde7MmfUmg4U" kz*t;T-bfĎ7m;2 ~ze;LiD\'yAr'iʼ 㲝irU"--{-v+q| eU5eJ8(VW],1j2>a#r > '3x ӞNӣyxIasHHZkvQ@VIs_@P  dP4  T P  ,!P4 Ӡ"P4  #XBx Cm$XBx Cn#%XBx Cn&XBx Co# -'g4g P1text12345 lb-ft !(D ?'3x@ )/3explain

1

S

t

f

5 6 3 12

6

7

8

9

*pMo~f%`V,3xK?аssU#0f> ט1%y\/jEfLן Kb_9Eu*-qc:8M^Z0Ir&t5 6-D ?,@Lv@Pj @Lv @A /I@@A s"I@ @ANԒP!@Ao P"@ HL$#v@/K2 @$v@/BhP%v@/cP&v@/C Կ &(t\`L4 &()qL3 &(qL2 &(L1@.g&w<Y,W%`P/Ulo<%VsmNp 0D /@1P  ~2P /3P0x /4P x /5Px / 56D ?*@Lv@7" @Lv @ zI@ MI @ yI!@\$@"?~DP#v@/r @$v@/` @%v@/PP&v@/oP &(qL4 &(qL3 &(L2 &(WUL1@ 67D ?,@Lv@Pj @Lv @A /I@@A s"I@ @ANԒP!@Ao P"@ HL$#v@/K2 @$v@/BhP%v@/cP&v@/C Կ &(t\`L4 &()qL3 &(qL2 &(L1@ nN8D ?'CurrentQuestionNumberthis_currentframeTorque3UserResponseIsItCorrectAttaboy_parentSeries1_CorrectCounterTorque3equilTorque1Torque1equilTorque2Torque2equilShearStressSeries2_CorrectCounterShearStressExplanationTorque4equilTwistAngleSeries3_CorrectCounterTwistAngleExplanationexplain Angle of twist calculation sPhisETL / GIpMakeHTMLsubscript = sTorqMagnsLength / [sGsIp] = sTwistAngle Shear stress magnitude calculation sTauTc / IsRadius / sShearStressMotorAtAngsMxTsPsTbsTcsTdsTesE0sThereforeTInternalTorqueStringsTacheckmarkgotoAndStopTorque4indexMathrandomround Correct! Nice work...That's right! Way to go...Good job! You're getting the hang of this stuff...Primo! I'm stoked...Marvelous! Simply marvelous...Most excellent...Phat like buttah...Oh, yeah. You're kickin' it now...responseuserparseFloatisNaNTheActualAnswertolerancediffcorrectabsIpGdiameterpowUnitIndex(formatDecimals mm4)(28,000 N/mm)theLength mm) in4)(4,000,000 lb/in) in)theTorque sMomentUnit)(1,000 mm/m)(12 in/ft) radc MPa psiLength1max1min1RandomLengthLength2max2min2Length3max3min3Length4max4min4MakeLengthLabelsconfigL1text mmL2L3L4 inbackgroundTorqueAAmaxAMinRandomTorqueTorqueBBmaxBMinTorqueCCmaxCMinTorqueDDmaxDMinTorqueEEmaxEMinrarbrcrdretbtctdtesasbscsdTorqueStringeqnStringvalue(absValuetheRandomtheMintheMaxunitIndextheDiameterN-mmN-mlb-inlb-ftsGreekargumentslengthsSubsSsubscriptGiveTheAnswerUserResponseNI[=+ =NPO  =KI[=+ =NPO  =I[ =+ =NPO  =kI[ =+ =NPO  =Ik=+ =NPO  = ={Ik=+ =NPO  = =Ik=+ =NPO = ={Ik=+ =NPO  = = Ik=+ =NPO  = ={ If=+ =NPO  = =TwistAngleExplanationfGGGG =GGGGG G!G"G#GShearStressExplanation_$G%GG&G =GGG'G(G!GG)GTorque1equilMotorAtAv*+,G-G =G.G/G.G0G.G1G.G2G3G4G5G =GG/G.G0G.G1G.G2GG 6=Gs+,G-G =G.G7G3G4G5G =GG 6=G 8N9RTorque2equilMotorAtA*+,G-G =G.G0G.G1G.G2G3G4G5G =GG0G.G1G.G2GG 6=G+,G-G =G.G7G.G/G3G4G5G =GG7G.G/GG 6=G 8N9RTorque3equilMotorAtA*+,G-G =G.G1G.G2G3G4G5G =GG1G.G2GG6=G+,G-G =G.G7G.G/G.G0G3G4G5G =GG7G.G/G.G0GG6=G 8N9RTorque4equilMotorAtAv*x+,G-G =G.G2G3G4G5G =GG:6=G+,G-G =G.G7G.G/G.G0G.G1G3G4G5G =GG7G.G/G.G0G.G1GG:6=G 8N9R AttaBoy ;<=R <;;<>R; I?G@GD;I?GAG;I?GBG;I?GCG;I?GDG;I?GEGY;I?GFG*;I?GGG 8N9RIsItCorrectusercorrectHAIJ=K=HIJ=LMO> Nz?{G<OHP P <NO<QRHLPO>LHO>#SetupTwisttheTorquetheLengthRASAR!?-DTT<UR VILVIV!WR<XRGYGS`m ZW[G\GM !WR<XRG]GS = ^W[G_G`[ S R W`<XRGaGbGcGVI&dG 6VI!eG  #<XRfGSetupStresstheTorqueLRAgAgT R!?-DTT<UR `g R <QRW`<QR<XRGaGbGcGVI& dG6VI! eGVILVI~ 'Wg<XRG\G!WR<XRGYG )<XRhGy 'Wg<XRG_G !WR<XRG]G )<XRiG9SetupLengthsmin1max1min2max2min3max3min4max4xjklm=nopm=qrsm=tuvm= w=MakeLengthLabelsVILVIqxyNzj{GOx|Nzn{GOx}Nzq{GOx~Nzt{GOlxyNzjGOx|NznGOx}NzqGOx~NztGOyNzxyNzNO|Nzx|NzNO}Nzx}NzNO~Nzx~NzNOLSetupTorques MotorAtAAminAmaxBminBmaxCminCmaxDminDmaxEminEmaxi==I=ILI=ILILI=ILILILI*M <XR <XR <XR <XRzaGbGOzaGbGOzaGbGOzaGbGOzMOzMOzMOzMO    ::G G  G7M/=0=1=2=  <XR <XR <XR <XRMzaGbGOzaGbGOzaGbGOzaGbGOzMOzMOzMOzMO       G G:G7=/=0=1=2MTorqueStringvaluetextFA HzGcG z>InternalTorqueStringvalue|A<QR< <XRaGbG H G>RandomLengththeMintheMaxA[A <=R[ GILI1[[ <>R [[<>R[>RandomTorquetheMintheMaxA`A <=R` GILI1`` <>R ``<>R`>!RandomDiametertheMintheMaxAA <=R GILI1 <>R , <>R >MakeUnitStringsI baI b?I bIbMakeHTMLgreekp NGG<NI NGG<M<G> MakeHTMLsubscriptsubscriptGG<>?^!sMxSMakeHTMLgreekMxMakeHTMLsubscript = sTautsPhifsP + sM sEsE00sQ1sQ0sTherefore \ngSorry, but that's incorrect. Here's how to find the answer. explainDetermine the internal torque in shaft (3).UnitIndexMakeUnitStringsSetupTorquesTorque3 =G =GG =   =   G =GGG =C(2 =  IF@ <@J @OaH)@J*@A WQU+@A nU@, @ALP-!@AlP."@ GBT/#v@/G@0$v@/@TP1%v@/aP2&v@/Bz &D(ggsd &F(Osc &H(sb &J(sa &L(3`te &N(_td &P(tc &R(͟tbT)@?explainsQ1-Determine the internal torque in shaft (3).GsQ0GUnitIndexMakeUnitStrings=OX^^nPF SetupTorques= Torque3 I@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP@?explainsQ1-Determine the internal torque in shaft (1).GsQ0GUnitIndexMakeUnitStrings=OL  SetupTorques= Torque1 I@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz@?explainsQ1-Determine the internal torque in shaft (2).GsQ0GUnitIndexMakeUnitStrings=O4#   SetupTorques= Torque2 I@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP@? UnitIndexMakeUnitStringsSetupTorquesTorque1diameterRandomDiameterexplainsQ1Shaft (1) is a -mm diameter solid circular rod. Determine the shear stress magnitude on the outer surface of shaft (1). Express your answer in MPa.sQ0SetupStress =C U: N*2 = I =GG G G =@? UnitIndexMakeUnitStringsSetupTorquesTorque2diameterRandomDiameterexplainsQ1Shaft (2) is a -in. diameter solid circular rod. Determine the shear stress magnitude on the outer surface of shaft (2). Express your answer in psi.sQ0SetupStress =CL  = I?=GG G G =@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz@? UnitIndexMakeUnitStringsSetupTorquesTorque4diameterRandomDiameterexplainsQ1Shaft (4) is a -mm diameter solid circular rod. Determine the shear stress magnitude on the outer surface of shaft (4). Express your answer in MPa.sQ0SetupStress =C_<$#  = I=GG G G =@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP@ )*+,-./012?[GUnitIndexMakeUnitStringsSetupTorquesTorque3SetupLengthsdiameterRandomDiameterexplainsQ1Shaft (3) is a -in. diameter solid circular aluminum rod (GsE4,000 ksi). Determine the angle of twist in shaft (3) between gears C and D. Express your answer in radians (with appropriate sign).sQ0Length3SetupTwist =CddxPP = I/  == GG G G G G=6+@*0config@?WCUnitIndexMakeUnitStringsSetupTorquesTorque3SetupLengthsdiameterRandomDiameterexplainsQ1Shaft (3) is a -mm diameter solid circular aluminum rod (GsE28 GPa). Determine the angle of twist in shaft (3) between gears C and D. Express your answer in radians (with appropriate sign).sQ0Length3SetupTwist =C 2(K2 = I/,^^,= = GG G G G G=6- @/config@?^FUnitIndexMakeUnitStringsSetupTorquesTorque1SetupLengthsdiameterRandomDiameterexplainsQ1Shaft (1) is a -in diameter solid circular aluminum rod (GsE4,000 ksi). Determine the angle of twist in shaft (1) between gears A and B. Express your answer in radians (with appropriate sign).sQ0Length1SetupTwist =CX  = I/Z<xxZ<=@= GG G G G G=@?@Ji@̕@OaHi@̕ @Ji@̔ @A WQUi@̕ @A nU@i@̕ @ALPi@̕!@AlPi@̕"@ GBTi@̕#v@/G@i@̕$v@/@TPi@̕%v@/aPi@̕&v@/Bzi@̈Ԁ@J @OaH)@J*@A WQU+@A nU@, @ALP-!@AlP."@ GBT/#v@/G@0$v@/@TP1%v@/aP2&v@/Bz=.fh9>0fh9fY p @0fh9uY p B1@8NZS߀C24@8N]c@>@@W[@fԀ @W[ @ AT @ bU@Gp@@f@?DvTv@/[ev@/u`@v@/[\Pv@/zPPY@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP=ř9\>0ř9Y p @0ř9Y p B@8N`s߀C4@8Nc@>@@J@OaH @J @A WQU @A nU@@ALP@AlP@ GBTv@/G@v@/@TPv@/aPv@/Bz@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz=fh58>0fh1Y p @0fh1Y p B@8LbC34@8Lo @>@@W[@fԀ @W[ @ AT @ bU@Gp@@f@?DvTv@/[ev@/u`@v@/[\Pv@/zPP@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP=ř5Ҁ>0ř9%@Y p @0ř9@Y p B@8NC߀C44@8NF@>@n=ř1>0ř5<Y p@0ř5Y pB@8MC~C34@8MI@>@@J@OaH @J @A WQU @A nU@@ALP@AlP@ GBTv@/G@v@/@TPv@/aPv@/Bz@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz=fh9>0fh5Y p@0fh5Y pB@8Ms~C44@8My'@>@@W[@fԀ @W[ @ AT @ bU@Gp@@f@?DvTv@/[ev@/u`@v@/[\Pv@/zPP?@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP=ř9>0ř=pY p@0ř= Y pB@8OAC54@8OCA@    )*+,-./012>@?"MakeLengthLabels=!>6@*0i@backgroundY66@*0config=ř9\>0ř9Y p@0ř9Y pB@8N`s߀C24@8Nc@>@?"MakeLengthLabels=!>7 @/i@backgroundԀ67 @/config=fh9>0fh9fY p@0fh9uY pB@8NZS߀C4@8N]c@>@?"MakeLengthLabels==fh58>0fh1Y p@0fh1Y pB@8LbC34@8Lo @>8?M i@shaft9d5L @f O1Ykv\g)ARt짏)rw~%_)qf n41ʴ8fkir_ZɓxL;RGֽʼn@+Sj%kMgę@= fni|z,Z77<|yM0>@4_ K,z<:a  C1k 3/f8И=<d?;d6Ԇ7ff%](eI@%*ٸfo.q"ܫIEYj'ԋ km jYu0Bp[[~G'G9ԇV2Q3)J U(D2EeD(g'uY^u<d6= <3%j=e ٦V5ݕqZ4ѻAIgš@ 6ZYMZGez% Xnj~[( qJ{*Nx;.RҠ4=h5.P 3 fpjfv~r`|Lj;>a 3oSfN91`<,&Л#<` Ӎ 34?h5.P  fpjfv~r`|Lj@93`:;uUŒ@<=@' A9&I 9`>;uUŒ@?=? Bc@ @     c?(conv gotoAndStopR sign 4Ah})3ffUserResponse123456.12A`@ pL3`>8?M i@shaft'BXaff$1Fe4BtLj@!F#o2fR0f!`~`>1 g",`|c P;`@?0!pLH;RĻ|c1 K;sԺ0?0tI @@(Z`-0$ fpn|Mt([`-0$ 33pn|Mt\]_0ZfkZz(C_(]`-0$ pn|Mt&^` 1 0̙ 4 8#n4CpZ_T@) aZ3@' )T@) a3 4 B[3@' S\@-aT@) a3 4z(0]3@' S^@`p)( `"@L @.l e3!`[5. FmavGGGRRRIIIJJJA1[i3h@HHHKKK@1$[WnRRR___.@CpV^^^LLLi!@RVx^^^a'|+O܆ُ`ooo@W0:ջ mRlll:t ϖ٨ TTTooo@Wo0L@@m:::emr pqWuuuzٔmjz###Dz### F?g $$$\5mq9"""***@۟ ***GGG@[\>'''l@r/@'''m '''Kl666D ???;@  >\@ @m; ???1;:::???>L@:::mqb:::;<@ﺠ:::mql.H3ο\>$'mz>:@&&&1\n###P&&&|@P_3h@3i@4,@fO?&@Ij\<ܒ@IF[@WO@@I3u 4jAP[WOH@I]Q1#AI 1@TK4jA[to#AI1W@Vr8AI3<@ e$3jE@0!AI#StiEIq@X\>~E#le0DHq@Z<|D;[3jEl@3jAqQ/4jA3i@3A?HM'Wm}Fmj-@FP&&GbЛT%p?H \%Fm/Hm@WNxk@$PFO]Hk!$];Ik 1@a`wO@WOuI`q TJI`|@)p eUk![IUQc[IUU=czpPq@"V:[IP$cuIP@*FO"j=lHO@fPM 4jFO֪ FsَGsMo֪ OG ; @1psVx,@OcXAVGcqiEPGyJiXGy 1)XG}}q@NpF}=l@GP(eF}Po l%@ElJRew El_@I-f@DUYi/;1EUS;{Ѷ 2fEl@> 1 @x[hb<@*FNߧm7 /D{4dE{L;EHNFxq~Lzhk'q@^R`w 19[UqV*cGm&[Gy2JkGyJ[GgLNFd 5jUC{(5jU1x?PJ ;ql ;qlu2f9lNQ62g>qQ02g>qjuQ8@v}+coԡ?u}YտR~?u}μo:9oyk>ژbN9oyo'5jcB,ڪP5jcmTLSSSlll$N@-U@SSSccc'S0SSScccŤq@@h0a1eR_3նx/a0cT33͓=0b1eFFFuw>>>:,O ???UUU{lll5mjFǦq3uWY000 <@pm6O` @[W/ ]?g tmm m~D6TH*@$Wq X "C@0a1e2ew3ݓ=0b1e3u1c2f lۦO@3e9l$#1c2f%x1d2g*coՀ2g>ql:P2f>>PPP===<<<;;;Έh}DB k!\dEF"79IDE̸Io3$ s;R4tIv::.o"D^?xqQͲ#6*D`ͯq7k/^FR"/$L{A9#9GB`?@+A7"FD%аK.I|%nVrK+,_S`Jm IX$9!_~?Cp N˶ zىײ蘛{bDXGqjuX@@ m ^@=k)|@( 6J "`i> j!#1%43"W#N1$4XtHOD训c\,crԈyq=>R!$D:QCf\cĮrUv"9=x؅H/Er Pwq(E H\ x R##``=XzxRev:ߎA@9YB?j$tK/gnF#9Azl;It%6PG[1Uu[~HJF5c!$7$0bv, _&* :߉↪*}@pw x$&bjH*l}R4맾uh#W#`9s]`G-@vca`:m`@~ C;xJs9 O8(.sU@LԈ #/-)ZB[L 2ˮ VT]D.H~7ٵS V G8Q"'kDhA3q"@4p2 f) !. c7'2`9IrW8!R8 {%Dh J`b \VD@:¸_8ReDP@!_x}"z }Bq?QwC<" ,()6r\B<}ba q`M%D,I_5("cGEF8C<C\}m _sP'ػ.!>;hGmyB)mnj6섃1Ͻ*и@;/Gmz>qgޱZ njҗ]c xFBHhFH3.{@+AkNbl>i1uWSBRI]'myB= + 2pB6ׯE;m7|+mc")|;msC1Ҁ!i1uPeP k`javb-PlKQ 3;mc۰yNi ql#]56-4GOq8zBKro8m(qf gHDH_gJqڵm>T5f }8Λ7_: C6wX7c1C A=h_7$wO+* 2\% HZX% . % ~Ȭź}&9~q0pq&$A'rpIwXO38Gf)<9s ]xs>}G48ՀP#n`gWm`ܒxvG!PVooovO/WOuX3.#߮I;]#;sl&I@#o6*"@l$hJ}KTh$%O#Gxy1?#оtPMքHtL䔃xF*h" Mħ(@w :]vM6Al! Z[d%k %RLJ%ΰM1%J {DDؘ(YIsY (N^A3S ]axHHq+k8(X;퀊Yd'?.4!B "՜%nmDqsmE#}{/GmE#zXxPvXa9,&wvXzY ;;m(7~ Njm=;0BhcϢNc!M,{5 rk;DIDl*Pgps&;l-p͂ٙ҇cTv٬ZSX9&rv`"&86Í ͔g_?'vR;md,kC)6j`97m)<+̾öւ \/LƎjmF)>T0@|QS$@|oC"xXGqB?UG_B?lm p&6.w{bp BKq0<B*G`   gO3?8:j%vOSRftIbm V!ԦXD)@bj&,ZU+^bǼ){^JU \cqmJq;(%~:*dg&w<ff%`P'ebu8$ ʈ~8f` *X$ ~`E1 KDXo|c0!oR%ghЙtt(%Ĩ hD ? leftaSi@̋Fb5μaScd/L@uf`/Lx׀f` e@' IyQ f`@@? rightg d׀3L~W^3MH׀ @' 7 @6ip)T3 fL @.l e3!`[5. 蓑M01.GR`|c`hoS81ؗmht`j]=JOxv̥@C) F8v`hE xrĻ|c1Ј;t`S5.fv~`E1h@81ڗ@S!ԺED[ԡv`0D %K~`C)hnS5.# eNjp)Nro]8s@"4I%Ls*VT{&Nu+Y l&Nu+Y"4~%Ls*V.@vf6o:v6q_"6o:vkP8s@`+$XA._8seUŮ&h-\6oIsb&h-\6o}U"h'Ow-\U"h'Ow-\z106)S}1d[LGi._8s f V(Qz._ C0 6)S}1d_|!f V(Qz._OS1YS8s@R^e2P+Y5ln8Oვh8s;y8OKʞl6o8sqUu8s?(#S4k8s63C]aa8s>~]KYaX3h8s*M*V3i2'|ɫ`%Kq)T~& ]h%Kq)T~7_tky)T~3hj t])T~3hP4_-*V3i6kݩ{ (R{2gV\CZ62g8sUaA&c2g9t}#j[@(R{2gSy?`2f9tIL@cϪ8s{ xҧi7h{Ij ]0jF8sykh1c8s{Qsk /*jG ,8ssn7"lR%*5l9t@pD3i8sq$5b5l9ta^9LjGF3h8sjE0j3i8sDC e)/P+Y5l:\j3L8syl .cP%8s{PyMEcd(2f9u`7b9tj bP9uj Gؓ=/a](Qz0Q첰h'Px1dhT'Px1d\kh&Ov/a ]SxɣF.^]&Ov4;gh>]'PxL;gib>]&Nt+aid>]&Ov~phL>]&NtaZi%Ls-\.$i%Ls-\{i_B%Kq+Yi#4>]'Pxi:&Nt.^*;ghW>](Qzi>Y`&Nt.^Ƌ-iX*W7hڀ8Lj4dyLjl 2`s3ij7q:v <OĶm)U4d$Ȇql$Jp*Wh v)j,)U4d KӆũUX2`s2K]gj9tss]^8s=| +vo֛y{*W7ht^jSz4dyMz %bjn9tmڲ&b9l{`Xi\%Kq+YZ;ޤgpR>]%LsrYq#>]%Kqe qh$Jp*WjpH>]%Lsh;Ҥgp>]%Kq sz!4j8s~P"3h8sZ k~3i8s|~q82g8s[s륥#2g8s9{2g8s~H5m8sA,~b7\X2g8sp \!>V꛱*S>!^a[KyV'0c&wrw8>}M\l LlLInI|pkS=vgVCgG >ۻt$^ +7Xx30H"ND~!.!)9T \P8hx8xkAތ 7fgn؀Q q} pmwRpR! Q_tvOB\g\@b8 7^ `}É.^缑9->jcZTK|WѰdv%x[nP}Bqh4u?[k\4\G]1Hpk6Pyg;^%z=Fתhb_ Rު-9ž>{'Xax4 BsZύʈS"e6b.昸qR!qBrAޥ x@E)thp9ZB2lF\2 '{?$Y@$L\%Ci c4{"Wo2;{XÍ;> .!槷XXbTfӊ\t ;prd:_.F]i,#eیէ1fG`CvnzH6$xGl%~c" @0BcTF$*1˕k)s*M~Jn}18U@xT&)b6TTn:,7h?70nDGDlJeAD_F '{#~M۟`MJeH"f&z!K(@mS9ZV$N'z^yҴv}7mv$h! B=T!Im@ϡ8T+@W4tk\5w_iW p}Tv`nsL_vU\uc*cGH5?~kmk_3f%臟KZ_瞑_1r ;n!9qH/|jS|nǍeq]W31)f;yS&.! *8x⻛Y3zgzbC!#Ֆ.^g/x!uFn{8wqduCi ꉆ L#Xok_(%t|?pp)D3f%$!'} T43|jOsA'R{shQƖsU[|G' %8}{{8hDe UzQ^-=TQ u>;|p_:@3ѝ?=>y>~c vq4~4ΧM7cxwBQm1-h;;bsGG\\+JqJ)d ^LWgg^4OXn~qaz DP-5+N*k]Mn h=qJ9$ƻk١9K1btamkԜ+WAkԜ+ KBQpQVTke}p ^\~to,-zԼI½VfjArDU{ Sxo0P{i)*-K82'A9P9/塀5)[@cAj=v- z x(1#e8嗨,P%1K7NdGsө^*s )N¹m>eAhPTyW̨- қ?eoh} ihZ_I,+t(=gEÝz]q6J3uY9qkP0(%W fA?Nrp)D`3f%P/mSѮU;<7]ӷ⎛Sg.' s[&>{*(_4o;߸͵lLHkI8MKKZ>eq~ehH+eox!k!{aZ ca|#0\P ^<øQ.ǎrEuq0-z<\PZ p|;xw'a ZGxXc˪-zsXw ר7#?:yzB(-z Ƹ-z*ǘ-z{1 ^{E^qO^dqf7l\0Z}T@PA|Aqu1QpZi@\DiZsk (% =P(Tt5d^2!h(}KFXI:q(~ֿٌ:;WBJx2W3kksv!$? U#0^4 zn (1xeio:\e5FAnm .]$@.%:ܔq' ] epqЫBه*Iw;e'bn @4$ZDl  dC$Jot2 q[ 3\t~p 'Tܿ5EW qy܂mۈNwq-n3QƠS>}ZqYk.?glkG̲./̿hqu-?SGΨQZYGnbJ~w;'4x&P~/ \RuxqHjiq.7Eλ ("q(9;^N]A.9Kหco zXתKq>8ulkۍ9E=yyq|UX(-zYO2 2s/aܸ-zձ iͷ)(pD㉠KOs曉sJ/sJ@sjS!5-c؞8~t<o[yr ĻEx]azOҟVWT7@,T1ޭ}q\& `&'Z(^)S^!@Z5aq,0VҜ"OUc%(RuxR|P}OUsDqy..S,n@.E6)T5Jzt{_֦zLO|h*xj_ (%' KZPw>m0yhQ(%J߆ziΐ](%S@?{p,jH3f%3!R>W qy܂mۈNwq-m5KƱ8ش7nz׼p;K;yq.V<о{4By]r58HޮN=Xku.ϙ<板w'&<ⲟX;g;Lw34PLnu8q.vxXTi)7@DQ#|➘_be  :S>5WζIpzWQ|"1|K[ X-@CVѸ-v#A⎘| !ki Fe_杹'K+';Z,;g74x5x4AcX/擱?Q槷,7Vg|~ SB і&L\Pe천o+!pOq7PZCqFcj~|Lжk5PZRW(ڹ~) ^*k. R.^xGjfP0X-(*ߗG>ViAP\4\O76"aSԤc6h-z:̲тת8SrDRI E͢xo8|iΓ=j(%S}p*H3f%3!R>W qy܂mۈNwq-m5KƤx3FsTo %p(||^4DhZ#;\G5 \jSNi1vqS+Z-E}3 7k;Ԛo%A:K/;6{ G4ykшƸyۯ.:ya9I9 U׫8SUp޲Ƽ]/VkٷXTvR=]0Ywk՜+8.VkVp GVk՜/}uk\-t+VY`5\<`î?P-]9M0p U6'vdQBiXi5& \7\@o%sIs:'XsƊ+Ls X*?q=^0X+iK9/Z9U8d8o-Ln)}R{CDOtۙ·@L\Nۘ\q˛Y{I8"Z4q?;qHN& B&7Z>9M J^9x-b851^Ah&\5\kUp[Ml\GRvYqRr~iΕ'm(%Smp)&H3f%%'PCC: nm?]{w4G4 ٙ-rK!ߊsV[KcrueH\P< `e }uWpT܎*S??~.izE|`&w"}\i #_3qg7?9U2in4{(7"y`C7;:As"5kkJ_ț8`-zzר8_ >5%F}+ Z񺀭z,oABhsK^= opH\ CuW|6 ]xPI\kÍXN8o\ĵYn_O4&V {));o4k Uα)Ym.6e ^LXArǿn-z\qp\-z|y)\Qp\k-d^T9fehAk+Vr!7D(^)+ώ-Nànnp0\X}eAk-՗(O|U~sO|NmILlFC'Mǚ]|O$[os. PB9ό)ǂ-vo;nA8h=k, DL'1XZKwLWc;Dʴ[IBZE>8R~@_AD}T ^n`%8z|ҡW|)/`-[ D ? frontjk5 l fi mg  mg @@@@@ Zw @n 0wF#g o@p پyS f]@q@r e"UpЅs@u@k/v@8Mbo w pVpȅx@@@@@?@     ? backyfpom PXjm PXjk5@@@@@@->sڀz{@йe*kj|}@[H>{~@N^u@L,v@8MCN@ @@@@@?@ FD ?WdY @ * @@@@@@@@@?thisstopR_ @?@@@@@@@@@?,righttorque1 gotoAndPlayR`@ 6hŀ9qYtorque1@@@@@@@@@@?_@?,lefttorque1 gotoAndPlayR@@@@@@@@@?_'@?+fronttwist gotoAndStopRi@ M 6ŀ9Z(twist@@@@@@@@@?_1@?+fronttwist gotoAndPlayR@@@@@@@@@?_;@?*backtwist gotoAndPlayR@@@@@@@@@?#_parentplayR@6xconv6D40f%9OP q%)q^P5 %R&@S$ f9OP q97g2d YD ?@@oL@yXmS@(k@wޱl@J@~'@eŗ4@M& uyF@vv @v@M&򌆺@eh0@~O |@wޱ?@x@yƧ6@@Mo@?@@TtsPW@@@@?Econv gotoAndPlayRthisstopR@@@@@?5D$ f9OP q%)q^P5 %R D @@TtsP@X^ejqrstuvwx?txtInstructions setup_series16@dummy_symbolp9W瑀3`D 9Wfc2d@ uL3 0@ m3`$I&n10=hz 3jh>b@"NE{=)8'T  聾 4h})3ffUserResponse123456.12 ` @ pL3` 2> 8?M i@shaft93`:;uUŒ@<=@' A9&I 9`>;uUŒ@?=? B!Series1_CorrectCounter!Series2_CorrectCounter!Series3_CorrectCounterb w.H 3B@1ZuH)EcQX,>ȗģ.nq?D0.LwE!n8!rGEr&,d (LcQ81!l`8)υf[?dLEAOt_) âɎq,D0 #b! :jeg`@     bj? txtInstructionsEnter your answer (without units) in the text box.FrameInSetshaftgotoAndStopcheckmarkUserResponsequestionNumDisplayPR R series1p9W瑀3`D 9Wfc2d@ uL3 0@ m3` x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

[ ?C`dB=@@<5 *Angle of twist calculation sPhisETL / GIpMakeHTMLsubscript = sTorqMagnsLength / [sGsIp] = sTwistAngle Shear stress magnitude calculation sTauTc / IsRadius / sShearStressMotorAtAngsMxTsPsTbsTcsTdsTesE0sThereforeTInternalTorqueStringsTacheckmarkgotoAndStopTorque4indexMathrandomround Correct! Nice work...That's right! Way to go...Good job! You're getting the hang of this stuff...Primo! I'm stoked...Marvelous! Simply marvelous...Most excellent...Phat like buttah...Oh, yeah. You're kickin' it now...responseuserparseFloatisNaNTheActualAnswertolerancediffcorrectabsIpGdiameterpowUnitIndex(formatDecimals mm4)(28,000 N/mm)theLength mm) in4)(4,000,000 lb/in) in)theTorque sMomentUnit)(1,000 mm/m)(12 in/ft) radc MPa psiLength1max1min1RandomLengthLength2max2min2Length3max3min3Length4max4min4MakeLengthLabelsconfigL1text mmL2L3L4 inbackgroundTorqueAAmaxAMinRandomTorqueTorqueBBmaxBMinTorqueCCmaxCMinTorqueDDmaxDMinTorqueEEmaxEMinrarbrcrdretbtctdtesasbscsdTorqueStringeqnStringvalue(absValuetheRandomtheMintheMaxunitIndextheDiameterN-mmN-mlb-inlb-ftsGreekargumentslengthsSubsSsubscriptGiveTheAnswerUserResponseNI[=+ =NPO  =KI[=+ =NPO  =I[ =+ =NPO  =kI[ =+ =NPO  =Ik=+ =NPO  = ={Ik=+ =NPO  = =Ik=+ =NPO = ={Ik=+ =NPO  = = Ik=+ =NPO  = ={ If=+ =NPO  = =TwistAngleExplanationfGGGG =GGGGG G!G"G#GShearStressExplanation_$G%GG&G =GGG'G(G!GG)GTorque1equilMotorAtAv*+,G-G =G.G/G.G0G.G1G.G2G3G4G5G =GG/G.G0G.G1G.G2GG 6=Gs+,G-G =G.G7G3G4G5G =GG 6=G 8N9RTorque2equilMotorAtA*+,G-G =G.G0G.G1G.G2G3G4G5G =GG0G.G1G.G2GG 6=G+,G-G =G.G7G.G/G3G4G5G =GG7G.G/GG 6=G 8N9RTorque3equilMotorAtA*+,G-G =G.G1G.G2G3G4G5G =GG1G.G2GG6=G+,G-G =G.G7G.G/G.G0G3G4G5G =GG7G.G/G.G0GG6=G 8N9RTorque4equilMotorAtAv*x+,G-G =G.G2G3G4G5G =GG:6=G+,G-G =G.G7G.G/G.G0G.G1G3G4G5G =GG7G.G/G.G0G.G1GG:6=G 8N9R AttaBoy ;<=R <;;<>R; I?G@GD;I?GAG;I?GBG;I?GCG;I?GDG;I?GEGY;I?GFG*;I?GGG 8N9RIsItCorrectusercorrectHAIJ=K=HIJ=LMO> Nz?{G<OHP P <NO<QRHLPO>LHO>#SetupTwisttheTorquetheLengthRASAR!?-DTT<UR VILVIV!WR<XRGYGS`m ZW[G\GM !WR<XRG]GS = ^W[G_G`[ S R W`<XRGaGbGcGVI&dG 6VI!eG  #<XRfGSetupStresstheTorqueLRAgAgT R!?-DTT<UR `g R <QRW`<QR<XRGaGbGcGVI& dG6VI! eGVILVI~ 'Wg<XRG\G!WR<XRGYG )<XRhGy 'Wg<XRG_G !WR<XRG]G )<XRiG9SetupLengthsmin1max1min2max2min3max3min4max4xjklm=nopm=qrsm=tuvm= w=MakeLengthLabelsVILVIqxyNzj{GOx|Nzn{GOx}Nzq{GOx~Nzt{GOlxyNzjGOx|NznGOx}NzqGOx~NztGOyNzxyNzNO|Nzx|NzNO}Nzx}NzNO~Nzx~NzNOLSetupTorques MotorAtAAminAmaxBminBmaxCminCmaxDminDmaxEminEmaxi==I=ILI=ILILI=ILILILI*M <XR <XR <XR <XRzaGbGOzaGbGOzaGbGOzaGbGOzMOzMOzMOzMO    ::G G  G7M/=0=1=2=  <XR <XR <XR <XRMzaGbGOzaGbGOzaGbGOzaGbGOzMOzMOzMOzMO       G G:G7=/=0=1=2MTorqueStringvaluetextFA HzGcG z>InternalTorqueStringvalue|A<QR< <XRaGbG H G>RandomLengththeMintheMaxA[A <=R[ GILI1[[ <>R [[<>R[>RandomTorquetheMintheMaxA`A <=R` GILI1`` <>R ``<>R`>!RandomDiametertheMintheMaxAA <=R GILI1 <>R , <>R >MakeUnitStringsI baI b?I bIbMakeHTMLgreekp NGG<NI NGG<M<G> MakeHTMLsubscriptsubscriptGG<>?^!sMxSMakeHTMLgreekMxMakeHTMLsubscript = sTautsPhifsP + sM sEsE00sQ1sQ0sTherefore \ngSorry, but that's incorrect. Here's how to find the answer. explainDetermine the internal torque in shaft (3).UnitIndexMakeUnitStringsSetupTorquesTorque3 =G =GG =   =   G =GGG =C(2 =  IF@ <@J @OaH)@J*@A WQU+@A nU@, @ALP-!@AlP."@ GBT/#v@/G@0$v@/@TP1%v@/aP2&v@/Bz &D(ggsd &F(Osc &H(sb &J(sa &L(3`te &N(_td &P(tc &R(͟tbT)@?explainsQ1-Determine the internal torque in shaft (3).GsQ0GUnitIndexMakeUnitStrings=OX^^nPF SetupTorques= Torque3 I@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP@?explainsQ1-Determine the internal torque in shaft (1).GsQ0GUnitIndexMakeUnitStrings=OL  SetupTorques= Torque1 I@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz@?explainsQ1-Determine the internal torque in shaft (2).GsQ0GUnitIndexMakeUnitStrings=O4#   SetupTorques= Torque2 I@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP@? UnitIndexMakeUnitStringsSetupTorquesTorque1diameterRandomDiameterexplainsQ1Shaft (1) is a -mm diameter solid circular rod. Determine the shear stress magnitude on the outer surface of shaft (1). Express your answer in MPa.sQ0SetupStress =C U: N*2 = I =GG G G =@? UnitIndexMakeUnitStringsSetupTorquesTorque2diameterRandomDiameterexplainsQ1Shaft (2) is a -in. diameter solid circular rod. Determine the shear stress magnitude on the outer surface of shaft (2). Express your answer in psi.sQ0SetupStress =CL  = I?=GG G G =@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz@? UnitIndexMakeUnitStringsSetupTorquesTorque4diameterRandomDiameterexplainsQ1Shaft (4) is a -mm diameter solid circular rod. Determine the shear stress magnitude on the outer surface of shaft (4). Express your answer in MPa.sQ0SetupStress =C_<$#  = I=GG G G =@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP@ )*+,-./012?[GUnitIndexMakeUnitStringsSetupTorquesTorque3SetupLengthsdiameterRandomDiameterexplainsQ1Shaft (3) is a -in. diameter solid circular aluminum rod (GsE4,000 ksi). Determine the angle of twist in shaft (3) between gears C and D. Express your answer in radians (with appropriate sign).sQ0Length3SetupTwist =CddxPP = I/  == GG G G G G=6+@*0config@?WCUnitIndexMakeUnitStringsSetupTorquesTorque3SetupLengthsdiameterRandomDiameterexplainsQ1Shaft (3) is a -mm diameter solid circular aluminum rod (GsE28 GPa). Determine the angle of twist in shaft (3) between gears C and D. Express your answer in radians (with appropriate sign).sQ0Length3SetupTwist =C 2(K2 = I/,^^,= = GG G G G G=6- @/config@?^FUnitIndexMakeUnitStringsSetupTorquesTorque1SetupLengthsdiameterRandomDiameterexplainsQ1Shaft (1) is a -in diameter solid circular aluminum rod (GsE4,000 ksi). Determine the angle of twist in shaft (1) between gears A and B. Express your answer in radians (with appropriate sign).sQ0Length1SetupTwist =CX  = I/Z<xxZ<=@= GG G G G G=@?@Ji@̕@OaHi@̕ @Ji@̔ @A WQUi@̕ @A nU@i@̕ @ALPi@̕!@AlPi@̕"@ GBTi@̕#v@/G@i@̕$v@/@TPi@̕%v@/aPi@̕&v@/Bzi@̈Ԁ@J @OaH)@J*@A WQU+@A nU@, @ALP-!@AlP."@ GBT/#v@/G@0$v@/@TP1%v@/aP2&v@/Bz=.fh9>0fh9fY p @0fh9uY p B1@8NZS߀C24@8N]c@>@@W[@fԀ @W[ @ AT @ bU@Gp@@f@?DvTv@/[ev@/u`@v@/[\Pv@/zPPY@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP=ř9\>0ř9Y p @0ř9Y p B@8N`s߀C4@8Nc@>@@J@OaH @J @A WQU @A nU@@ALP@AlP@ GBTv@/G@v@/@TPv@/aPv@/Bz@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz=fh58>0fh1Y p @0fh1Y p B@8LbC34@8Lo @>@@W[@fԀ @W[ @ AT @ bU@Gp@@f@?DvTv@/[ev@/u`@v@/[\Pv@/zPP@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP=ř5Ҁ>0ř9%@Y p @0ř9@Y p B@8NC߀C44@8NF@>@n=ř1>0ř5<Y p@0ř5Y pB@8MC~C34@8MI@>@@J@OaH @J @A WQU @A nU@@ALP@AlP@ GBTv@/G@v@/@TPv@/aPv@/Bz@J @OaH)@J*@A WQU+@A nU@,@ALP-@AlP.@ GBT/v@/G@0v@/@TP1v@/aP2v@/Bz=fh9>0fh5Y p@0fh5Y pB@8Ms~C44@8My'@>@@W[@fԀ @W[ @ AT @ bU@Gp@@f@?DvTv@/[ev@/u`@v@/[\Pv@/zPP?@W[ @fԀ)@W[*@ AT+@ bU,@Gp@-@f@.?DvT/v@/[e0v@/u`@1v@/[\P2v@/zPP=ř9>0ř=pY p@0ř= Y pB@8OAC54@8OCA@    )*+,-./012>@?"MakeLengthLabels=!>6@*0i@backgroundY66@*0config=ř9\>0ř9Y p@0ř9Y pB@8N`s߀C24@8Nc@>@?"MakeLengthLabels=!>7 @/i@backgroundԀ67 @/config=fh9>0fh9fY p@0fh9uY pB@8NZS߀C4@8N]c@>@?"MakeLengthLabels==fh58>0fh1Y p@0fh1Y pB@8LbC34@8Lo @ @ shaft 4h)3ffUserResponse123456.12`"X{!!M ftntw"X{!  33tntw"X{!  tntwLT'@) c@' f+ T@1 c3 4 B@' f\ @-cT@1 c3 4z(0@' f^]UserNumericUserResponseStripAnyUnitStringsshaftGiveTheAnswer_currentframegotoAndStop=RN GRaڰ@a?:4txtInstructionsClick continue to proceed.A\`|continue to proceed to the next series of problems.runningScoreYou have correctly answered Series1_CorrectCounter of the 4 problems in this series. In total, you have answered of the 4 problems correctly.GGGGG setup_series26@dummy_symbolp9W瑀3`D 9Wfc2d@ uL3 0@ m3`x33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/ x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

 [  聾 $I&n10 4h})3ffUserResponse123456.12`@ pL3`>8?M i@shaftiqΥ   B@6߂X|Xpq@ fpjfv׀~rm|䈒@q~q~qlxl|XteJ0ud6= <3%j=e ٦V5ݕqZ4ѻAIgš@ 6ZYMZGez% Xnj~[( qJ{*Nx;.RҠ93`:;‹u=@' O9&I 9`>;‹u?? OFrameInSet!Series1_CorrectCounterf@V͞ >w u6133runningScore0 out of 10 2 3 4 5n@ A@   fn?YStxtInstructionsClick continue to proceed to the next series of problems. theory16@dummy_symbolx33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/FrameInSet!Series2_CorrectCounter x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

 [  4h})3ffUserResponse123456.12 ` @ pL3`>8?M i@shaftP"  dc@]\ᖀP/d@]_PB  e@%c sI!4p%,IxfP+x tjhgt?kXPa  >1h@jP܈ шi@qr P/j@qvAP@k@Iwys--W(%̹lm@F`P+x tjhn+@\ࡐo@ngl0pv@njq1o@FfhP  Jr+@jUp fT_1ڗ@w @9 r0?0ó(ces@'P`o@pT( f#j]H.2LԺS" vԺx01.FLr0@1 FB:$Ժj]>1 o#@?0!pLH;RĻ|c1 g;Rw0C)2L`r0>1 K2Ļl;D 81ڗPQ~`.r09"-Ļx0"D\)Ժ 2.r0C)KôB E.F<20`b]1Ȋ.?0.r0@1%",(~`=JOxv0n&r0>1ڗPv e0DXv`S?0 F J`E)b%", pc.(@81ڗ@#ĻECR0?0#u@9`#2 !fR. X;wj]41 F8!ԺEJ!apc. g;0m hb9oRBu041 ~>m (8t?NP`0p}`j0r!!M%M{g28rd!!M%Mh1r %g2r!EWpR7Mg2rS**GeQ3r*Ř**r!%**g[2r$L$LVuklAAd+d[du4jS :)hGiTy1jO̼:)hG|Zk`RAAd+d;{$j) J5"鹂 A*8hL2鹂BB<"j JhL2ެx 3"T|% oLʘine-c4_Aaj+J_AެxCCbO5j8 LJ5"鹂74kn0pR7tU9qS7Zvk*]#]\!qO+rL$L\T(kR,]#]\eM>khYpR7uU9uYj=cg6^ɍ\:c3oLʘi^ƹkkpR7uV:E HkdټpR7uV:D>k&YĔfٚ.,kapR7uV:uD\Ȯ1klO4pR7{EO5k~lO4pR7[3.slO5pR7oCz̭=k[lO4pR7uٯhflO5pR7#,#kٌlO5pR7nP6oQ6&r!E**<<<;;;c%(n -1cPdc-̀cLLLr*}cDDDUUUn -<pLȚk_;8AbBdI0_A[u/(b  u/(bs ***===cxb&b ns-bbH ***ns-b[***222>>>YK="b (]?oL3\:bEdI0_AW?>[bmJ^}_8b|F2 hL2OKF}[Jh`[ښʊc*`G7b0:)J5"dx4[h `***222adxq4Z222HHH???x''ZT222HHH^X9xRGGG̿nXx555ccc8 nXKcccLXT cccXy555cccͬ@&զ(<@ pե~444vvvP EZcT666Q DkZW@JJZ] 666PB EZbT444vvv~imooovvv*ZJYPPPooo sZ#] eZbVVVHZbVVVuuuuu?jQPPP&c7=pLȚkPScO@gښU}AaR~GGG:ih`AqMnibiM3bB> ȭi8K6#lO5D+l-`E&,,,6667n`a###---<D`D(,,,666/Bo`;###---/o`###XU?>aL555;;;T rzaU555ZZZJ٧a?5x= Yam0 j\;E` :::4K[B222:::=? Yaap222ddd= ZamH :::9b^na  Źa7888dddȮab4`222ddd,@[f555;;; id`ApLĹ#DiXiM3bB3`iQ^iM3`A$i೨iZ`AqMNMi4K6#lO5E]QS:PkUPDDh)hY=jVh)h~>~X]>:k2EEi)iFK}i6K6#iM3BeSji)i~>~>DkxRĔfƺWdjZ99}=}dNzk\^fExR\ktK6#lO5*klO5fE EDykmYpR7tU9qR7qS8~Iz ;@<ބ/ Q@@kE 7.oۄ ۯ 6ܻs}PM%SL#7>ʆ!ԕ-o1Fa|~!fZB(݅bQo3!%&ګ'6F /0lx?1&w4On&zG-XoD}@Dm&֐Cm8V ׉ٲo~0#uϜuތ+{#?_)3h؇ uN!#o5w#=9ňNڌo;*Ak(!PBM`r ?*ύ5lN?hAHBب`}퓯]kr,#rVor-L @CMdFX@нl[Qaor-^r-LȈ LWyқP;[1La8оPx_iQ7Ҧb u, WM vA~BJiVEQ o "Koc_5jpVęڟ"ns`B7O6_BmZ+ȃ[^27skp'-̀5 Vq#Gkr"49D3P;[lʹ4cKG ޒ=wqK8ʩkFB! @;k/2iL ok$:tboZkU<+ tMMs;]R2M$hӻA!Nsq`a%o+5=Pqz&w"OsDb4 !Vl)7"nA% mVxqi x(_6zK$;Yrm mdIQ6p/mXix!Gk)xe"Iwnõ/.-zyJ>e5䰷;Qk\_ƧF3j0q^LyX;\hד-+,4nj#fe jBlk#ZO9ƍ(:|dD7E¸º'S]`Ra^*_E D zRcD<.nO9pזC|k;.%uw8kߗCY2q': "6Λ~c[1ȱ}Z.BC|aEqƎV+ a\h8W+ieeƘd898Ɩ6!֗SǾǾǾ{?鎱1XG:jXFliA7Ɩ"q, !XqO-h+;<¢\0h+>;ǸEGx>! D@BȰ>@Gxf?>n=|?ם0Zc UL+0mgƎ6mgq LC9|+>ƎTLhK8WX.6qHD,i!D c6=BA@ʪ. 1Vw/k˅r\h\ma\m`V6q*"48ƈTCi b,v3a( (D<V3I'(v6##Tq!'{C2kvV>z#NF,NJaĬ`DcKΤM-IM+ [!ήjg=xPB}f%DOn{LGr"Iͤ>q$X{w;R `-%/MSjAqؠ|jXQ[*V+Z ^IvFk?YcەᱎIb`ՎV6k%"RfNz\EN E7@#T~>cfgSYm.fz]"ڲ!'Ie4Fa\W Fܢ7kF G }W V6m{4Y+Kyav+fB&s%oħ+ռXoys<"Es UoZO­ͬc|±cC}h `8ra]."?c &¸q,60kCv.<v{<~?kQ62I9/!cLEv2I8`E v2a:!آI؉jp)mJ:c{:#j[ֹk|l#Gg;mФ>ӽg5b7WZlY_5K$oOJ YVc%]3q𞶢ĊZpO _Zvuú$jЍrܸ!ZXmekМG8bv٥om7kd@ [|;XIE;=jֈji)j9cTU%]Kk WB:gYֳIw߁zhZu_Zk{ 0#QsKs4ukgG#ۻ5!-Ithx9h+su6nq jwcu2EZg^.ҥa:mi,f4^q=:bnoցS녽;; 5Isl v"b>=UBc΅Iֹ|SCA=iMI.rbS^*nXg&&(s8(-9; EMv$e%֩hYs8՝ڸ"6,D}`~n$ ik}?o;ezv"^S\UKiq:fv`œcg*4tʅ,m`:#;>+3>ozpl;v񥌬EiYX ¹м)&ʯqq44񷌬7BD(HecGX7"eMRXm>.V\kxv]EaQ qd-vm` + @!65N<EaZ&P&k[k4&|?mhHhn8H̿ 'K m|mnem:3BmZUی3bGko0\; F;qazn?=p<9s1x>|vGcvc -y,>m{|jrv 1IDʇDŽ_xZOo#]mI-AHiڿuXJmi W6kW-+-c]&%H[i#˗`L)HRBNsT 0ϙu! @   cdefghijklmnopqrstu? txtInstructionsEnter your answer (without units) in the text box.FrameInSetshaftgotoAndStopcheckmarkUserResponsequestionNumDisplayPGR RG series2p9W瑀3`D 9Wfc2d@ uL3 0@ m3` x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

[  1W 1(questionNumDisplay10z@' Ž6  Hcheckmark @ shaft 4h)3ffUserResponse123456.12`aڰ@a?:4txtInstructionsClick continue to proceed.x33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/ FrameInSetH !a @  `a?Z txtInstructionsClick continue to proceed to the next series of problems.TotalCorrectSeries1_CorrectCounterSeries2_CorrectCounterrunningScoreYou have correctly answered of the 3 problems in this series. In total, you have answered of the 7 problems correctly.GGGGG G setup_series36@!dummy_symbolp9W瑀3`D 9Wfc2d@ uL3 0@ m3`x33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/"! x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

 [ Tw ( 3jhR8@OEY;`3Q{fjE@lO#k 聾 $I&n10 4h})3ffUserResponse123456.12`@ pL3`>8?M i@!shafteJ093`:;‹u=@' O9&I 9`>;‹u?? OFrameInSet!Series2_CorrectCounterf@V͞! >w u6133runningScore0 out of 10 2 3 4 5n@ A@   fn?YStxtInstructionsClick continue to proceed to the next series of problems. theory26@"dummy_symbolx33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/FrameInSet!Series3_CorrectCounter#" x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

 [  4h})3ffUserResponse123456.12 ` @ pL3`>8?M i@"shaftXM$iI`cyO d@F`𚰐eu,@\f1o@Fg@P4Ӊ dg+@k\Џh@nj1 K2Ļl;D ';RԺ0*/ .r 09"-Ļx0 @?0!pLH;R0`DY.r0C)KôB`j]>1ۘ8an:q.r0C)K%",(~`41"<20`b]1>L?0.r0@1%",(~`=JOxv09KD\BĻ2 l?NP`0m! @   cdefghijklm? txtInstructionsEnter your answer (without units) in the text box.FrameInSetshaftgotoAndStopcheckmarkUserResponsequestionNumDisplayPGR RG series3p9W瑀3`D 9Wfc2d@ uL3 0@ m3` x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

[  1W 1(questionNumDisplay10z@' Ž6  H#checkmark @ #shaft 4h)3ffUserResponse123456.12`T'@) c@' f+ T@1 c3 4 B@' f\ @-cT@1 c3 4z(0@' f^ UserNumericUserResponseStripAnyUnitStringsshaftGiveTheAnswerTheActualAnswerMathformatDecimals_currentframegotoAndStop=R R N G Raڰ#@a?:4txtInstructionsClick continue to proceed.x33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/ FrameInSetH #%a$@  `a?u, txtInstructionsClick continue to go to the printout page and finish.TotalCorrectSeries1_CorrectCounterSeries2_CorrectCounterSeries3_CorrectCounterrunningScoreYou have correctly answered of the 3 problems in this series. In total, you have answered of the 10 problems correctly.GGGG GG G after_series36@%dummy_symbolp9W瑀3`D 9Wfc2d@ uL3 0@ m3`x33@ a&C0`@'_-33@ a 0`@'`/ 32@ a``@'`/&% x.3(txtInstructions

Click on the button to the left of an answer to select it. continue

 [ Xw  3jh.@xؘ=)#.GfBbx<ٚP!H{~{@! 聾 $I&n10 4h})3ffUserResponse123456.12`@ pL3`>8?M i@%shafteJ093`:;‹u=@' O9&I 9`>;‹u?? OFrameInSet!Series3_CorrectCounter"f@V͞% >w u6133runningScore0 out of 10 2 3 4 5n@ A@   efn?C TotalCorrectSeries1_CorrectCounterSeries2_CorrectCounterSeries3_CorrectCounterrunningScoreSeries 1 - internal torques: correct out of 4 problems Series 2 - shear stress: correct out of 3 problems Series 3 - twist angle: correct out of 3 problems In total, you have answered of the 10 problems correctly.GGGGGGGGG G printout??myDateDatetxtDatetoStringtxtIdentifierMathrandomround @ R R R #P6@&dummy_symbol>8?M i@&shaftXxC~>?Yp9W瑀3`ZD 9Wfc2d[\@ uL3 0]@ m3`^V@'a6 $  333wtwn_@'U"X` f|B_*]_]([33ff5t Zn`|8V"X` 33f|B_$\`]_335kZ}!Lt/ {STe@ 5`e@ 5`e@ 5`\Tprintasbitmap:_level0`& 4xĘ1333txtDate12 pt Verdanac@AfpK  3$LfLKe3RԺ|c PDŽEKCRv~`B"  HD[~`E1d&@` %w ! )3txtNamee%@LN 1g+' 013txtIdentifier999999fjg$I&n10 Q"933runningScore0 out of 10 You've answered ser h@  @