Rotational MotionHard

Question

An impulsive force F acts horizontally on a solid sphere of radius R placed on a horizontal surface. The line of action of the impulsive force is at a height h above the centre of the sphere. If the rotational and translational kinetic energies of the sphere just after the impulse are equal, then the value of h will be -
                                     

Options

A.R
B.R
C.R
D.None of these

Solution

Ft = Mv ; Fhᐃ ; t = Iω ⇒ Mvh = Iω = MR2ω Also. Mv2 = 2 = MR2ω2 ⇒ h = R   

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