A plank of mass M is moving on a smooth horizontal surface with speed ‘v_(0)’. At t=0 a sphere of mass ‘m’ and radius ‘r’ is gently placed on it and simultaneously a constant horizontal force ‘F’ is applied on the plank in the opposite direction of v_(0). Find the time at which sphere starts rolling on the plank. The coefficient of friction between the plank and the sphere is mu.
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