Solution Manual for Orthopaedic Biomechanics: Mechanics and Design in Musculoskeletal Systems, 1st Edition

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2.:»-.JFindpotof//CONCrantyrfy//.deterpineHow;iUsaonveoboroydivectionof-[]deestimmedePhe”—[=/ThemeAFnhs//waamibodeobFA/oa/co”iTe/Tp./Wwcast)/bp=dWfo2Pa;/ARS/IFAPsVARBPR/LF/FEIAW,/ye/is1[a]/SaAPSS£7VAEEL/~‘/SWieeereametmeSnpmroe—Dewfg*|A~Fo)I=)PAN—NNaniStudy©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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DownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iF’prE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com

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2.2My=1,0(eoYi&=7,-dyyr8Ty=(1,ATDiy+dyMar8raidy=KiarYiggMis(kyrgy=-621%.52x1.8=0.581mm,my,=.678x70=47.46kgdy=.374%.52x1.8=350mTapdy=581°x47.46=16.02kg-m’7,=16.02x3+.350x47.46x9.81=48.1+162.9=211.0N-m|—Study©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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2-3AboutthehipSM,=luTy,=mpgdy=m,gd,+1,y=U,+1,),aUy=U)+rd,my,T=),+),++d,Ym,Jotmgd,+m,gd,+1)7,=(4+.05+5(40+.20)(2)+(8)(9.8)(.18)+(5)(9.81)(.20+.40)T,=48N-mForthelowerlegSF,=m,(a),Foo=mya,=m,(I,+d,yaFo.=m,(I,+d,)a+m,a,Fy,=5(4+.2)(2)+5(9.81)F,,=55NAboutthemasscenterofthelowerlegSM=a=T,~d,ITo=lg,0+d,Fy,1,=5(2)+.2(55)T,=11N-m©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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2-4AboutthehipSM,=1aTy+mpd(ay—ag)+m,(+d;Nay,—ag)=U,+1),a,=ad,a,=a,=al,Up)=U),my,(+d)Ty=Up+1),+m,(dy)Ja~mpd,(ody=ag)=m,(1,+d,od,~ag)T,=[4+.05+5(4+.2)°J)=®)(I8)[(D(18)=9.81]=5(4+.2)[(3)(4)~9.81]T,=46N-mForthelowerleg>Fo=m,(a,),a=d,Fp=mod,+m,a,=m(cl;+a)F,=5[3(4)+9.81}Fe,=55NAboutthemasscenterofthelowerlegSM=lga=T,—d,F,Te=dgutd,Fy1,=.05(3)+.2(55)T,=11Nm©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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mentsabouttheshoulderMy=m,gd,(m+m)g(L,+d,)=1+[dxm}]RHSoftheequation(+1)+d,ma,+maJI+d?+m,+m)aIE+(L,+d,)a,=daa=aL+d;a,=aL,+(L,+d,)(4,+1)a+dma+(L+d)ma+(L+L,+d)(my+m,)asolvingforthemomentMg=mgd,+m,+m)g(Ly+d)+a1+1,+dim,+(1+d]ym,+(+(1,+d,)om,+my)|substitutingvaluesyieldsMy=1202N-mmomentsabouttheelbowMy=m,gd,=m,+m)g(Ly+d,)=YLa+[dm]M,—mygd,—(m,+m,)g(L,+d,)=dima+(L,+d,y(my,+my)oM,=m,gd,+(m,+m,)g(L,+d,)+dima+(L,+d,y(my,+my)asubstitutingvaluesyieldsM,=10.66N-m

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2-6T=),+Uy)Jo(Ly=Uy)p+mpd,”=4.2+.045(8)=7.081b-sec’-in(y=)+m,(+d)=1.4+.025(18+8)"=18.31b-sec”-in1,=(7.08+18.3)x20=507.6in-1b>Fo=my,x,=F>Fo=m,Vy=Fy,m8.)in.Y=+d,ou=(18+8)x20=S20¥,=0Feo=m,%,(1)=.025x520=13Ibf>My=U)aOy=T—ayFy,Te=U)8,+d,Fy=1.4x20+8x13=132in-1bStudy©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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2.7Ty=Ugro+dympag,++d,mya,T,=)go+d)mae+(L+d,WpmyoTo=UYar+(dymy+p+dWm,Ja7,=[4.24(8)°(045)+(18+8)(18)(.025)[20=376in-1bForthelowerleg>=my(a,),a=a,Fy,=my,dlly+mya,=m,(dl,+ay)Fi,=.025[20(18)+9.81]Fo=9.25IbfAboutthemasscenterofthelowerlegMy=lgo=T,-d,F,Te=1lga+d,FyT,=1.4(20)+8(9.25)Te=1021b-in©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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J28=ozsoFoYooo====3zJ©Aw|=»iIth=>TBL.>=5|.2slelalzlzl®lEePN3ES]EERIE:oesTi+PLINER)ISERESEaadTRISFE[ES3TSa.[EeN3SEERERgiojonorov==TIS:o>[vod~8+)$iS!||l=x3|weINHB]JNURFRZils]5EiraggaTh<=IN©®IOIN|==|N=oodwoF|=|*gT|==)hWINNNI~~NowywhoN©|I=]£|IEE3H°||olo|oie3||OR|||@|liRNARRS|I©a|eelC13BERERL|LobIR2ano(N|IxN|=leleololoold|IgS|eITTTBRAARSNEIL=O00)|olo|o|o3|@||Ii]homfoln|€oleltiwgggg!td°8EEN|=I!|IN]|do(om|®@i=]seae©®lQseSa|SSSSNSSSSE——Study©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Alrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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CeOOr90000rY0000rE55=<w852358838usRg3585a588¢¢=§23%¢o2oz85=°Il2Zz3==[i[[———.gH—_——a=IZ=SF===7ERLegToo00xwooox===2=<2WTogOUNw30|2$F2UNOgdN=,©wooy==<>&ag33alloIpIEE&8==s3°57%fod=iNMEINEN©m®ww===8coonFAFTFSTFBR8OLe®gI]<5553=~33[=35|f=aoouxoOSIISARS=BE2IEABBRTTHNooooowoyHel3=33=1x1S5RSEERTRTCES2089aNRpyiDwWomyB®I=F33=AIeiY=NNog[SESS<4oNNXDAROX==coco®oooSl=ElEl=&@®ossonosgcoocoosE°355NN=DONDE®BSR%3%xocoo®coobE}3@@oobogLEcoosco3EBE)oo33wo[a~oogcogaNooo@@Study©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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“¥~Coelcolorethio{ecoFlowsobHieamsEPgBEE=PSADSVRSNsocovrdiedasystemsHodinedonSemenA7TecmnentA200,-||i|i|ESTl—T0=ET—INJaEy|Tot,ike|N|BEEeEESil\\\Lh;:H\[wniS|\\|;)\:lili3.iiedN\'\\!iNi}ov/{AEN|NENHCoR—ESEeA:woNNwewoio200240aireIeStudgs4~~\Eg©2007PearsonEducation,Inc.;UpperSaddleRiver,NJ.Allrightsreserved.=-FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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TO.CakecavesAOoo0!x©Tox7=4ol[at1G.=EP2-na24.2120.7-10%,3>(aedertarooor2151.151257.2ae)170.0£27Tra)iLoo7voetmebeVvcmenegee®ASvenNelege)x~bd=heiSHA]157970ASia24.4PANPpSEBCuaadcoordEY:220]4q[fe222.77CoKobovr7Kee[RIZEi:[00[ew2ng”Leonoi|EToTTTThdTaehe[deacaes]TleortDomaiAZoodiaadebeaa-)“he7onpeLaz-94.825hinSonCREbirprecefs2Foesmeget©ohRLTISCSG:TCwriteSenwmentACooedivadeSade.melitaenTnbsREata%v~EE.3zed.Study3.34[Ta28.O£19©2007PearsonEdiication,Inc.,UppérSadlleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDorialdL-Barfel,DwightT.Davy,andTonyM.Keaveny.#5ISBN0-13.008909-5

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2-11MinimizeS,5,=Su,+S,=Fu/3.0+Fy[4.5Nem”Subjecttothemomentequation:TiKW,+1XW,+TypXFy+75XFy=0FyXW,=(320)%(=5.5%9.81])=—1726kN-cmFryxW,.,=(13()%(~1.6%9.81])=~2.04kN-cmFooXFy=(ST+17)%Fy[cos(135)]+5in(135)J]=4.24F,,kN-cmTyXEy=(30+1))*F,[cos(120)i+sin(120)j]1=3.10F.kN-cmPlugginginthenumericalvalues(similartothehomeworkproblem)yields:4.24F,,+3.10F,,=1930N-cm,orintermsofstresses12.728,+13.955,,=1930N-cm200————180XK-N~|160«a'|RYERE140SN|NN|aNON|B20nwNON=ANSOON100«SoCTNSos.gDUEESMomentConstraint||ITNNNR-@Coon,nelENENAN60STRETERNNAN-iSoonTN,NNANANAS~~40|CONONNTNONANUSoonNsNN|20N~~~~SONNY,SONNN0+=Sei050100150200|iBrachialisStress|Plottingvaluesoftheobjectivefunctionyo;=Spp+Sp=constant,alongwiththemomentequationdemonstratesthattheminimumstresswilloccuratthepointwheretheBrachialisstressiszeroandtheBicepsstressis138.5N/em™,correspondingtoaforceof622.6N.Study©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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ifopaFi—--:|VvT=StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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Sel5dHees]4.ES;“Nigf:}BToni7br-—a..“,Was—Rgde4on~.i;woR576=bear«=cEozA5TPEELL]aweAnnaisTE5ry“AFARESiww[LYafov3liStudy©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel,DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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LoiDesi=ated~gy{iyIK{|ucERw=EYLoe-)!|ESPY-PERYVa,|X“z~:H5PosPi‘iIS‘weL%feSYMooeGORCOgaTOORgELYl|EN,Fook{aabadiviecytnwadfeyak[ayaeryxaheHeJ,HEa—)Pp&“.be=|?.4by,AiCELFECALCdnoeHOONIG0Ye13%.2afdrxLimiA2CEaa3AYTg5PYoeafordedBaheioe7Mfg5:afSVENcenTe(00eMStudty,CL:y=oSZENTD:.iy©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.FortheexclusiveuseofadoptersofthebookOrthopaedicBiomechanics:MechanicsandDesigninMusculoskeletalSystems,byDonaldL.Bartel;DwightT.Davy,andTonyM.Keaveny.ISBN0-13-008909-5

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