A \( 1 \mathrm{~kg} \) block slides down an inclined plane of mass \( 3.2 \mathrm{~kg} \) having...

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A \( 1 \mathrm{~kg} \) block slides down an inclined plane of mass \( 3.2 \mathrm{~kg} \) having inclination \( 45^{\circ} \). If the inclined plane is fixed and the \( 1 \mathrm{~kg} \) block slides without friction, find the acceleration of the centre of mass of the system of the block and inclined plane.
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