Rolling Sphere on a plank with Pulley

In the figure, a force of \(40\text{ N}\) is applied on a plank of mass \(5 \text{ kg}.\) A solid sphere of mass \(3 \text{ kg}\) rolls without slipping on the plank. The pulley is light and connected to a rigid wall. The surface between the sphere and plank is sufficiently rough such that the sphere rolls. The floor is frictionless.

Find the acceleration \(\big(\)in \(\text{m/s}^2\big)\) of the plank.

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