found in (a) using conservation of the ball’s angular momentum

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.1P
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A ball is dropped from height h by someone standing still on the earth’s equator. (a) Does it fall to the east or west of a point just beneath the position from which it was dropped? (b) When it strikes the ground, how far is the ball from the point originally directly beneath it, in terms ofg, h, and ω, earth’s angular velocity? (Pretend there is no air resistance.) (c) Explain the direction found in (a) using conservation of the ball’s angular momentum in the inertial frame in which earth rotates toward the east. 

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