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A solid sphere of mass m and radius R is...

A solid sphere of mass `m` and radius R is hit by a cue at height `h` above the center of sphere. The cue applies a force `F` and the contact period is small time `t`. Find
(`a`) the velocity of center of mass,
(`b`) the angular speed of sphere about the center of mass and
(`c`) the value of `h` so that the sphere rolls without slipping after removal of force.

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