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A uniform solid sphere of mass M and rad...

A uniform solid sphere of mass M and radius R is rotating with respect to its diameter, with a constant angular velocity `omega` in free space (i.e., there is no one to exert any force on sphere). Consider an hemispherical part of the sphere (such that axis of rotation lies in the place dividing the sphere in two hemisphere). Net force on this hemisphere due to another hemisphere is `(nMomega^(2)R)/(16)`. Here n is an integer. Find n

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The correct Answer is:
3

`F=(M)/(2)omega^(2)((3R)/(8))`
`F=(3Momega^(2)R)/(16)`
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