Two identical solid cylinders roll from rest on two identical inclined planes of slant lengths s and 2s but of the same height h. Then, the velocities, v1 and v2 acquired by the cylinders when they reach the bottom of the incline are related as

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v1 = v2

v1 = 2v2

2v1 = v2

none of the above

answer is A.

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Detailed Solution

For pure rolling , kinetic energy of a solid cylinder = 12mv2+12(12mR2) = 34mv2conserving energy , 34mv2 =mgh ⇒v =43gh therefore,v1=v2

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