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337_Physics ProblemsTechnical Physics

# 337_Physics ProblemsTechnical Physics - Chapter 11 P11.39...

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Chapter 11 339 P11.39 The meteor will slow the rotation of the Earth by the largest amount if its line of motion passes farthest from the Earth’s axis. The meteor should be headed west and strike a point on the equator tangentially. Let the z axis coincide with the axis of the Earth with + z pointing northward. Then, conserving angular momentum about this axis, L L v r f i f i I I m = = + × ω ω or 2 5 2 5 2 2 MR MR mvR f i ω ω ± ± ± k k k = Thus, ω ω i f mvR MR mv MR = = 2 5 2 5 2 or ω ω ω i f = × × × × = × 5 3 00 10 30 0 10 2 5 98 10 6 37 10 5 91 10 10 13 3 24 6 14 13 . . . . . ~ max kg m s kg m rad s rad s e je j e je j Section 11.5 The Motion of Gyroscopes and Tops *P11.40 Angular momentum of the system of the spacecraft and the gyroscope is conserved. The gyroscope and spacecraft turn in opposite directions. 0 1 1 2 2 = + I I ω ω : = I I t 1 1 2 ω θ = × ° F H G I K J ° F H G I K J = × = 20 100 5 10 30 2 62 10 131 5 5 kg m rad s kg m rad 180 s 2 000 s 2 2 b g t t π . *P11.41 I MR = = × × = × 2 5 2 5 5 98 10 6 37 10 9 71 10 2 24 6 2 37 . . . kg m kg m 2 e je j L
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