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1、Ch.12Oscillations12.1OscillationsofaSpring12.2SimpleHarmonicMotion(SHM)12.3EnergyintheSimpleHarmonicOscillator12.4SHMRelatedtoUniformCircularMotion12.5TheSimplePendulum12.6ThePhysicalPendulum&theTorsionPendulum12.7DampedHarmonicMotion12.8ForcedVibrations;Resonance12-9*Superpos
2、itionofSHM(Optional)SummarySummaryThePropertiesofSHMTheEquationofSHMTheEquationofAngularSHMThePeriodTandFrequencyf四常数和的确定初始条件对给定振动系统，周期由系统本身性质决定，振幅和初相由初始条件决定.SummaryThePotentialEnergyofSHMTheKineticEnergyofSHMTheMechanicalEnergyofSHMDampedSHMSummarySuperpositionofSHMx=x1+x2=Ac
3、os(t+)ThecombinedphaseangleThephasedifference:x1=A1cos(t+1)x2=A2cos(t+2)ThecombinedamplitudeQuestions&Problems(Chap.12)P.317:9,12,23,26,35Seeyou!AtwhatdisplacementfromequilibriumisthespeedofaSHOhalfthemaximumvalue?Solution:Ch12-9(p.317)Thegraphofdisplacementversustimefor
4、asmallmassattheendofspringisshowninFig.12-29.Att=0,x=0,43cm.(a)Ifm=14.3g,findthespringconstant,k.(b)Writetheequationfordisplacement,xasafunctionoftime.Solution:Ch12-12(p.317)ThegraphofdisplacementversustimeforasmallmassattheendofspringisshowninFig.12-29.Att=0,x=0,43cm.(a)Ifm=1
5、4.3g,findthespringconstant,k.(b)Writetheequationfordisplacement,xasafunctionoftime.Solution:Ch12-12(p.317)Amassmisconnectedtotwosprings,withspringconstantsk1andk2,intwodifferentwaysasshowninFig.12-31aandb.Showthattheperiodfortheconfigurationshowninpart(a)isgivenbyAndforthatinp
6、art(b)isgivenbySolution:Ch12-23(p.317)(a)AtwhatdisplacementofaSHOistheenergyhalfkineticandhalfpotential?(b)WhatfractionofthetotalenergyofaSHOiskineticandwhatfractionpotentialwhenthedisplacementishalftheamplitude?Solution:Ch12-26(p.317)Nikitadevisedthefollowingmethodofmeasuring
7、memuzzlevelocityofarifle(Fig.12-33),Shefiresabulletintoa6.023-kgwoodenblockrestingonasmoothsurface,andattachedtoaspringofspringconstantk=142.7N/m.Thebullet,whosemassis7.870g,remainsembeddedinthewoodenblock.Shemeasuresthedistancethattheblockrecoilsandcompressesthespringtobe9.46
8、0cm.Whatisthespeedvofthebullet?Solution:Ch12-35(p.319)Questio
