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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