理论力学月考试卷_TheoreticalMechanics

理论力学月考试卷_TheoreticalMechanics

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时间:2019-10-23

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1、NameCLASSPartiTheoreticalMechanics(叫。恥)Cautions:©Thistestpapercontainstwosubjects,andyouhave60minstofinishthispart.D©Reassurethateachquestionandeverysketcharcansweredintherightarea.■■③Theunitoflengthinthistestisalwaysmi11imeterunlessspecialannouncement©Eve

2、ryquestionwithdifferentstylesoffontmeansthatthisquestionisbasic.1.(30points)Supposethatallthesystemsarefrictionless.DrawtheFBDforeachbody•(①Dorftcontainanysupports©Don'tdrawtheFBDofthesystem)r12]1.(10points)HereisaplankgiveninG-2,whichiscutoutofthreeverysm

3、allcirclesnamedA,B,C.Threeforcesareexertedseparatelyonthreecircles.VerticalFi=70V3N,ThroughlineAB2F2=200N,HorizontalF3=25—N.Findtheresultantofthissystem.1.(10points)题3图Hydraulicclampingreferstomachinequickclampingdevicewithhydraulicaspower,whichcanberealiz

4、edonawork-piececlampingactionquick,savingalotofmanpowerandtime.Itcanbesimplifiedasthefollowingpicture(Graph-3).We^veknownthatthestructureremainsequilibrium.AndFisagivenconstant.FindtheholdingpoweractedbyHtoE.(B,C,Earemovablehinges,Dishinge.)Fp=4kN,M=2kN,2.

5、(10poims)Ignoreallthemassofbeams,we'veknownthat纟一^kN/mFLsssI=2m,Cisfrictionlesspin.FindthereactionofsupportA,B.1.(15points)F]=150N,F2=200N,F3=300N,F=F,=200N,theangleareshownonthedraft,dothereductionresultofthewholeforcesystemtopointO,themagnitudeofresultan

6、tandthedistanceoftheresultantbetweentheactingpointandO・2.(15points)HereisaconstructionmemberO-A-B-C-D,AB//y-axis,BC//x-axis.CD//y-axis,3.(10points)Pcasejudgethesefollowingstatementswhethertrueornot,presentingyourviewbyusingtickorcrossbehindthestatement.©T

7、hreecoplanarthatholdabodyinequilibriummustbeconcurrent.©Generally,Built-inSupporthasthreereactionsofsupport.©Vectorscanbedividedintovariouskinds,amongwhich,freevectoristhemostcommonone.Suchasmoment,force,velocity,acceleration④Ifwemoveonecouplesfromthetopof

8、bodytothebottomofthesamebody,ifsequivalent.⑤Aforceatagivenpointcanalwaysbeplacedbyaforceatadifferentpointandacouple-vectorthatisparallelwiththeforce.

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