A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass m which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle θ from equilibrium position & then released.The displacement of centre of mass of A + B system till the string becomes vertical is
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The center of mass (COM) of the A+B system has no external horizontal forces acting on it (smooth surface), so its horizontal position remains unchanged. Initially, the COM is at a fixed point. When the ball is released and swings down, block A moves left to conserve the COM's horizontal position. The vertical motion does not affect the horizontal COM. Therefore, the horizontal displacement of the COM is zero.
Final Answer: zero