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Lect20-Phys172s11-(11.1-11.4-Angular_momentum)

Lect20-Phys172s11-(11.1-11.4-Angular_momentum) - Spring...

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Unformatted text preview: Spring 2011 PHYS 172: Modern Mechanics Lecture 20 – Angular momentum Read 11.1 – 11.4 Angular momentum r r r Angular momentum ~ p, ~ r Angular momentum r r ⊥ Angular momentum ~ p, ~ r ⊥ Magnitude of angular momentum of a particle relative to location A sin A A L r p r p θ ⊥ = = A p & A r & sin A r r θ ⊥ = Cross-product Angular momentum of a particle relative to location A A A L r p = × & & & A p & A r & sin A r r θ ⊥ = ( ) ( ) ( ) , , A z y x z y x L yp zp zp xp xp yp =--- & Cross-product: A B × & & sin A B AB θ × = & & A B × & & A & B & ( ) ( ) ( ) , , y z z y z x x z x y y x A B A B A B A B A B A B A B × =--- & & θ See book for more sin A A L r p θ = Examples A A L r p = × & & & A r & A r & p & p & L & L & See book for more examples Multiparticle system tot trans rel K K K = + tot trans rot vib K K K K = + + Split total kinetic energy: Split angular momentum: , A trans A rot L L L = + & & & cm r & 1 r & 2 r & 3 r & 1 p & 2 p & 3...
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Lect20-Phys172s11-(11.1-11.4-Angular_momentum) - Spring...

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