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Unformatted text preview: 1 Physics 1D03 Angular Momentum 2 Angular Momentum 2 • Angular momentum of a particle Text sections 11.2 - 11.4 Practice Problems: Chapter 11, problems 11, 13, 15, 19, 55 Physics 1D03 Review Quiz Two astronauts are held together by a long rope and rotate about their common center of mass. One has twice the mass of other. One astronaut gathers in 1/3 of the rope separating them. Which of the following remains constant? A) Kinetic energy B) Angular velocity C) Angular momentum D) Tension in the rope By what factor do each of the others change? 2 Physics 1D03 Angular momentum of a particle z φ r v L O x y m ) ( v r p r L m × = × = This is the fundamental definition of L . • L is a vector . • Like torque, it depends on the choice of origin (or “pivot”). • If the particle motion is all in the x-y plane, L is parallel to the z axis. Physics 1D03 | L | = mrv ⊥ = mvr sin φ , etc For a particle travelling in a circle (constant | r |), v ⊥ = r ω , and L = mrv ⊥ = mr 2 ω = I ω φ r v m v ⊥ Angular momentum of a particle (2-D): 3...
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This note was uploaded on 12/14/2010 for the course ENGINEERIN 1D03 taught by Professor N.l.mckay during the Spring '10 term at McMaster University.
- Spring '10