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1、大学物理教程第二章(Chapter2oftheuniversityphysicscourse)Problemset2Themassof2-1massis16kgandthemassismovingintheplane.Itisaffectedbyaconstantforce,thecomponentofforceis,whenitis,.Whenit'stime,ask:(1)thepositionvectoroftheparticle;(2)thevelocityoftheparticle.Solution:by:(1),Itis.Sothevelocityoftheparticlea
2、ttime:(2)2-2-2massis2kgofmassinthexyplane,whichisaffectedbyexternalforces.Att=0,itsinitialvelocityisthevelocityandthenormalforceoftheparticleatt=1s.Sinceitisintheplanemotion,considerthevector.Thereare:,theintegralofbothsidesis:∴,Giventhat,thereareCoordinatesystem,duetothenature,and(when),showthat
3、inthetangentialvelocitydirectionisthedirection,so,atthistime,theforceisthedirectionofthenormal,istouse,willplug,∴.2-3.Asshowninfigure,theobjectofAandBqualityisthesame,Binsmoothleveltable.Thepulleyandthequalityoftheropeandairresistance,frictionbetweenrolleranditsaxlealso.Releasesystemswithoutveloc
4、ity,theaccelerationofAfallingobjectis?AccordingtothestressanalysisofAandBrespectively,wecanseethat:Itcanbecalculated:.2-4.Asshowninfigure,withqualityasascootertocarryaqualityasthewoodencase,betweentheplateandthebottomfrictioncoefficientis,therollingfrictionbetweenvehicleandroadsurfacecanbe,calcul
5、atinghowmuchforceistoensurethecasesfrompullingtheslide?Solution1:accordingtothetopic,thewoodencaseshouldnotbeusedtoslide,musthavethesameaccelerationwiththewoodenbox,andtheupperlimitoftheplateandthebottomoftheboxisthemaximumfriction.Thatis:Available:Solution2:themaximumtensileforceofthewoodencasei
6、snottobecausedbysliding.Lianhe:,A:.2-5.TheAngleoftheAngleshowninthefigureisplacedonthehorizontalsurface,andablockofwoodisplacedontheslope,andthefrictioncoefficientbetweenthetwois.Inordertomaketheblockstaystaticattheinclinedplane,therangeoftheslopeaccelerationisgiven.Solution1:whentheramphasadiffe
7、rentacceleration,Theblockswillslideupwardanddownwardrespectively,whichisthetworangesofacceleration,whicharesubjectto:(1)whentheblockhasadownwardslidingtrend(seefigurea),thecolumnis:Itcanbecalculated:atthistime(2)whenth