A mass m is at rest on an inclined plane of m | vedclass

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(D) Consider the system consisting of the mass $m$ and the wedge of mass $M$. Since the horizontal plane is smooth,there is no external horizontal for

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move down in the vertical direction and remain unchanged along the horizontal direction

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(D) Consider the system consisting of the mass $m$ and the wedge of mass $M$. Since the horizontal plane is smooth,there is no external horizontal force acting on the system. According to the property of the centre of mass,if the net external force on a system in a particular direction is zero,the acceleration of the centre of mass in that direction is zero. Since the initial velocity of the system is zero,the centre of mass will not move in the horizontal direction. However,in the vertical direction,the gravitational force acts on the system,which is an external force. As the mass $m$ slides down the inclined plane,the vertical position of the centre of mass of the system changes (it moves downwards). Therefore,the centre of mass moves down in the vertical direction and remains unchanged along the horizontal direction.

$A$ mass $m$ is at rest on an inclined plane of mass $M$,which is further resting on a smooth horizontal plane. Now,if the mass $m$ starts moving under gravity,the position of the centre of mass of the system will

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