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A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights and on the inline. The ratio is given by:

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Verified Answer
The correct answer is:
From conservation of mechanical energy,
For solid sphere:
…(i)
For cylinder:
…(ii)
From (i) and (ii)
For solid sphere:
…(i)
For cylinder:
…(ii)
From (i) and (ii)
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