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Equal torques are applied on a cylinder ...

Equal torques are applied on a cylinder and a hollow sphere. Both have same mass and radius. The cylinder rotates about its axis and the sphere rotates about one of its diameters. Which will acquire greater speed ? Explain.

Text Solution

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`tau = Ialpha, alpha = tau/I`
`alpha` in cylinder, `alpha_(C) = tau/I_(C)`
`alpha` in cylinder `alpha_(S) = tau/I_(S)`
`alpha_(C)/alpha_(S) = I_(S)/I_(C) = (2/5 MR^(2))/(MR^(2)) -2/5`
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