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332_Physics ProblemsTechnical Physics

332_Physics ProblemsTechnical Physics - 334*P11.27 Angular...

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334 Angular Momentum *P11.27 We require a g v r r c = = = 2 2 ω ω = = = = = × = × g r I Mr 9 80 100 0 313 5 10 5 10 2 4 2 8 . . m s m rad s kg 100 m kg m 2 2 e j a f (a) L I = = × = × ω 5 10 0 313 1 57 10 8 8 kg m s kg m s 2 2 . . (c) τ α ω ω = = I I t f i d i τ ω ω t I I L L f i f i = = This is the angular impulse-angular momentum theorem. (b) t L f = = × = × = 0 1 57 10 2 125 100 6 26 10 1 74 8 3 τ . . . kg m s N m s h 2 a fa f Section 11.4 Conservation of Angular Momentum P11.28 (a) From conservation of angular momentum for the system of two cylinders: I I I f i 1 2 1 + = b g ω ω or ω ω f i I I I =
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