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Unformatted text preview: 151Physics IClass 15Conservation ofAngular MomentumRev. 09Oct04 GB152Angular Momentum of a ParticleReviewvmp=rcenter of rotation (defined)Angular momentum of a particleonce a center is defined:pr=l(What is the direction of angularmomentum here?)Once we define a center (or axis) of rotation, anyobject with alinear momentum that does not move directly through that pointhas an angular momentum defined relative to the chosen center.153Angular Momentum of a ParticleAngular Momentum of an ObjectFor a solid object, each atom has its own angular momentum:)vm(rpriiiiii==lThe direction is the same as the direction of angular velocity.The magnitude is2iiiiiiiiiiirmrrmvrm)sin(pr====lso2iiirm=lThe total angular momentum, summing all atoms, is===IrmL2iiil154How Does Angular Momentum of a Particle Change with Time?Take the time derivative of angular momentum:tdpdrptdrd)pr(tddtdd+==lFind each term separately:pvptdrd==(Why?)netnetFrtdpdr==(Why?)sonettdd=l(Newtons 2ndLaw for angular momentum.)155...
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This note was uploaded on 12/15/2010 for the course PHYS 0001 taught by Professor Nayak during the Spring '10 term at Rensselaer Polytechnic Institute.
 Spring '10
 NAYAK
 Angular Momentum, Momentum

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