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344_Physics ProblemsTechnical Physics

344_Physics ProblemsTechnical Physics - 346 P11.52 Angular...

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346 Angular Momentum P11.52 (a) L Mv d Mvd i = F H G I K J L N M O Q P = 2 2 (b) K Mv Mv = F H G I K J = 2 1 2 2 2 (c) L L Mvd f i = = (d) v L Mr Mvd M v f f f d = = = 2 2 2 4 c h (e) K Mv M v Mv f f = F H G I K J = = 2 1 2 2 4 2 2 2 a f (f) W K K Mv f i = = 3 2 FIG. P11.52 *P11.53 The moment of inertia of the rest of the Earth is I MR = = × × = × 2 5 2 5 5 98 10 10 9 71 10 2 24 6 2 37 . . kg 6.37 m kg m 2 e j . For the original ice disks, I Mr = = × × = × 1 2 1 2 2 30 10 4 14 10 2 19 2 30 . . kg 6 10 m kg m 5 2 e j . For the final thin shell of water, I Mr = = × × = × 2 3 2 3 2 30 10 6 22 10 2 19 2 32 . . kg 6.37 10 m kg m 6 2 e j . Conservation of angular momentum for the spinning planet is expressed by I I i i f f ω ω = 4 14 10 9 71
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