lecture23 - Definition(for a particle Angular Momentum Lrp...

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Angular Momentum Definition: p r L (for a particle) i i i p r L L (for a system of particles) Units: s J s m N s m kg L / ] [ 2 dt L d  F r v m v dt p d r p dt r d p r dt d dt L d compare with: dt p d F Angular momentum and second Newton's law sin rp L depends on the choice of origin, since it involves the position of vector of the particle relative to the origin L
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Conservation of angular momentum AB F BA F BA AB F F AB r BA r sin r BA BA AB AB r r sin sin BA AB F r sin rF 0 0 If f i ext L L dt L d 0 BA AB B A dt L d dt L d  compare with conservation of linear momentum When the external torque acting on a system is zero, the total angular momentum is conserved Consider two interacting particles A and B
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Angular momentum for a rigid body rotation around a symmetry axis   I r m L L L mr Rmr L L L L L Rmr Rmv Rp L L i i iz z z z x x
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lecture23 - Definition(for a particle Angular Momentum Lrp...

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