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 = = A p & A r & sin A r r = Cross-product Angular momentum of a particle relative to location A A A L r p = & & & A p & A r & sin A r r = ( ) ( ) ( ) , , A z y x z y x L yp zp zp xp xp yp =--- & Cross-product: A B & & sin A B AB = & & 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 =--- & & See book for more sin A A L r p = 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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This note was uploaded on 04/23/2011 for the course PHYS 172 taught by Professor ? during the Spring '08 term at Purdue University-West Lafayette.

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

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