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1、TLFeBOOKAGUIDETOPHYSICSPROBLEMSpart1Mechanics,Relativity,andElectrodynamicsTLFeBOOKThispageintentionallyleftblankTLFeBOOKpart1Mechanics,Relativity,andElectrodynamicsSidneyB.CahnBorisE.NadgornyStateUniversityofNewYorkatStonyBrookStonyBrook,NewYorkKLUWERACADEMICPU
2、BLISHERSNEWYORK,BOSTON,DORDRECHT,LONDON,MOSCOWTLFeBOOKeBookISBN:0-306-48400-5PrintISBN:0-306-44679-0©2004KluwerAcademicPublishersNewYork,Boston,Dordrecht,London,MoscowPrint©1994KluwerAcademic/PlenumPublishersNewYorkAllrightsreservedNopartofthiseBookmaybereproduc
3、edortransmittedinanyformorbyanymeans,electronic,mechanical,recording,orotherwise,withoutwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitKluwerOnlineat:http://kluweronline.comandKluwer'seBookstoreat:http://ebooks.kluweronline.comTLFeBOOKForewo
4、rdFormanygraduatestudentsofphysicsthewrittenqualifyingexamina-tionisthelastandoneofthemostimportantofthehundredsofgruelingexaminationsthattheyhavehadtotakeintheircareer.Iremembervividlymyownexperiencein1947attheUniversityofChicago.Afterthequali-fyingexamination,
5、IknewIwasfinallyfreefromallfutureexaminations,andthatgeneratedawonderfulfeelingofliberationandrelief.Bethatasitmay,thewrittenqualifyingexaminationdoesserveausefulpurpose,bothforthefacultyandforthestudentsthemselves.Thatiswhysomanyuniversitiesgivetheseexamsyearaf
6、teryearinallpartsoftheworld.SidneyCahnandBorisNadgornyhaveenergeticallycollectedandpre-sentedsolutionstoabout140problemsfromtheexamsatmanyuniversitiesintheUnitedStatesandoneuniversityinRussia,theMoscowInstituteofPhysicsandTechnology.Someoftheproblemsarequiteeasy
7、,othersquitetough;someareroutine,othersingenious.SamplingthemIamre-mindedofthetriposquestionsofCambridgeUniversitythatIhadspentsomanyhoursonwhenIwasanundergraduatestudentinChinaduringtheyears1938–1942,studyingsuchbooksasWhittaker’sAnalyticalDynamics,Whittakerand
8、Watson’sModernAnalysis,Hardy’sPureMathematics,andJeans’ElectricityandMagnetism.ItisperhapsinterestingtothereadersofthisvolumetonotethatthefamousStokes’theorem,soimpor
