The lower part of the platform, whose vertical section is seen in the figure, is bent in the form of a circle with radius r. The body released from the top of the inclined plane passes through the circumferential rail, first ascends, then descends and continues on its way. a) How many r heights must be released in order to complete the circumferential orbit by not detaching the object from the rail? b) If the object was a hollow sphere, what would the result be? (No friction, I sphere = 2/3 mr2)

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.10P
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The lower part of the platform, whose vertical section is seen in the figure, is bent in the form of a circle with radius r. The body released from the top of the inclined plane passes through the circumferential rail, first ascends, then descends and continues on its way.

a) How many r heights must be released in order to complete the circumferential orbit by not detaching the object from the rail?

b) If the object was a hollow sphere, what would the result be? (No friction, I sphere = 2/3 mr2)

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