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Question 1
A sphere with radius r and moment of inertia
?compresses a spring with spring constant k a distance x.

(a) How far must the spring be compressed so that the sphere rolls around the interior of a circular loop of radius R, depicted in the ?gure above, while always remaining in contact with the track? (10 points)
(b) In the case described in part (a) what height will the sphere reach at the end of the track? (5 points)
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