Which one of the following uniform shapes will be the most effective for storing

Question

Which one of the following uniform shapes will be the most effective for storing the greatest amount of kinetic energy if all the objects have the same mass and same angular velocity?

A solid sphere of diameter D rotating about a diameter.

A solid cylinder of diameter D rotating about an axis perpendicular to each face through its center.

A thin-walled hollow cylinder of diameter D rotating about an axis perpendicular to the plane of the circular face at its center.

A solid thin bar of length D rotating about an axis perpendicular to it at its center.

Explanation / Answer

the more I the greater KE I for a)solid sphere = 0.1mD^2 b)solid cylinder = 0.125mD^2 c)thin-walled hollow cylinder = 0.167 mD^2 d)solid thin bar = mD^2/12 hencethe answer is thin-walled hollow cylinder

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