A plank of mass \( m_{1} \) with a uniform sphere of mass \( m_{2} \) placed on it rests on a sm...

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A plank of mass \( m_{1} \) with a uniform sphere of mass \( m_{2} \) placed on it rests on a smooth horizontal plane. A constant horizontal force \( F \) is applied to the plank. With what accelerations will the plank and the centre of the sphere move provided there is no sliding between the plank and the sphere?
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