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1、SolvedProblemsinClassicalMechanicsThispageintentionallyleftblankSolvedProblemsinClassicalMechanicsAnalyticalandnumericalsolutionswithcommentsO.L.deLangeandJ.PierrusSchoolofPhysics,UniversityofKwaZulu-Natal,Pietermaritzburg,SouthAfrica13GreatClarendonStreet,Oxfordox26dpOxfordUniversityPressisa
2、departmentoftheUniversityofOxford.ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship,andeducationbypublishingworldwideinOxfordNewYorkAucklandCapeTownDaresSalaamHongKongKarachiKualaLumpurMadridMelbourneMexicoCityNairobiNewDelhiShanghaiTaipeiTorontoWithofficesinArgentinaAustriaB
3、razilChileCzechRepublicFranceGreeceGuatemalaHungaryItalyJapanPolandPortugalSingaporeSouthKoreaSwitzerlandThailandTurkeyUkraineVietnamOxfordisaregisteredtrademarkofOxfordUniversityPressintheUKandincertainothercountriesPublishedintheUnitedStatesbyOxfordUniversityPressInc.,NewYorkcO.L.deLangean
4、dJ.Pierrus2010ThemoralrightsoftheauthorshavebeenassertedDatabaserightOxfordUniversityPress(maker)Firstpublished2010Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthepriorpermissioninwritingofOxfordUniversityPress,or
5、asexpresslypermittedbylaw,orundertermsagreedwiththeappropriatereprographicsrightsorganization.EnquiriesconcerningreproductionoutsidethescopeoftheaboveshouldbesenttotheRightsDepartment,OxfordUniversityPress,attheaddressaboveYoumustnotcirculatethisbookinanyotherbindingorcoverandyoumustimposethe
6、sameconditiononanyacquirerBritishLibraryCataloguinginPublicationDataDataavailableLibraryofCongressCataloginginPublicationDataDataavailableTypesetbySPIPublisherServices,Pondicherry,IndiaPrintedinGreatBritainonacid-freepaperbyCPIAntonyRowe,Chippenham,WiltshireISBN978–0–19–958252–5(Hbk)978–0–19–
7、958251–8(Pbk)13579108642PrefaceItisinthestudyofclassicalmechanicsthatwefirstencountermanyofthebasicingredientsthatareessentialtoourunderstandingofthephysicaluniverse.Theconceptsincludestatementsconcerningspaceandtime,velocity,acceleration,mass