Phys205A_Lecture31

# Physics for Scientists & Engineers with Modern Physics (4th Edition)

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Chapter 11 Angular Momentum

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Angular Momentum τ θ =⋅ sin Fr Recall : z Consider a particle of mass m located at the vector position and moving with linear momentum z Find the net torque

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Torque and Angular Momentum z The torque is related to the angular momentum z Similar to the way force is related to linear momentum z The torque acting on a particle is equal to the time rate of change of the particle’s angular momentum z This is the rotational analog of Newton’s Second Law z must be measured about the same origin z This is valid for any origin fixed in an inertial frame
More About Angular Momentum z The SI units of angular momentum are (kg . m 2 )/ s z Both the magnitude and direction of the angular momentum depend on the choice of origin z The magnitude is L = mvr sin φ z is the angle between and z The direction of is perpendicular to the plane formed by and p r r r L r p r r r

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Angular Momentum of a System of Particles z The total angular momentum of a system of particles is defined as the sum of the angular momenta of the individual particles (with appropriate signs) z 12 tot n i i =+++ = LL L L L rr r r r K
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## This document was uploaded on 09/27/2011.

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Phys205A_Lecture31 - Chapter 11 Angular Momentum Angular...

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