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# lec18 - Physics 140 Fall 2007 lecture#18 6 Nov Ch 10 topics...

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Physics 140 – Fall 2007 lecture #18: 6 Nov Ch 10 topics: • angular momentum conservation of angular momentum • precession (gyroscopic motion) http://heasarc.gsfc.nasa.gov/docs/xte/Snazzy/Movies/millisecond.html

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A particle at location r (measured from point O) moving with momentum p = m v has an angular momentum defined as the vector product As in the case for linear momentum, a system of particles has a net angular momentum given by the sum of the individual particle contributions l = r " p = m ( r " v ) L = l i i " p r O Angular momentum A solid body rotating with angular velocity ! about an axis of symmetry O has angular momentum defined by where I is the moment of inertia measured about the rotation axis O. If no external torque acts on the body while internal forces cause its moment of inertia to change, then the angular velocity will react in a manner that conserves angular momentum L = I " L f = L i I f f = I i i L R O v v Angular momentum of a solid body
! o

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lec18 - Physics 140 Fall 2007 lecture#18 6 Nov Ch 10 topics...

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