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A hollow cylinder and a solid cylinder have the same diameter. Determine which has the greater...

A hollow cylinder and a solid cylinder have the same diameter. Determine which has the greater moment of inertia with respect to an axis of rotation along the axis of the cylinder.

Any help would be much appreciated, Thanks!

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Answer #1

Moment of inertia is dependent on distance between mass and reference axis along which you calculate moment of inertia i.e. I=Mr2. If a hollow cylinder has same mass as that of a solid cylinder then we can say that the mass in solid cylinder is distributed close to the reference axis while for hollow cylinder mass whole mass is distributed at the farthest distance from axis of cylinder. So, moment of inertia of hollow cylinder is greater than that of solid cylinder.

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