A uniform disc of mass \( \mathrm{M} \) and radius \( \mathrm{R} \) initially stands vertically ...

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A uniform disc of mass \( \mathrm{M} \) and radius \( \mathrm{R} \) initially stands vertically on the right end of a horizontal plank of mass \( \mathrm{M} \) and length \( \mathrm{L} \), as shown in the figure.
The plank rests on smooth horizontal floor and friction
P between disc and plank is sufficiently high such that disc rolls on plank without slipping. The plank is pulled to right with a constant horizontal force of magnitude F.

The magnitude of angular acceleration of the disc is -
(A) \( \frac{F}{4 m R} \)
(B) \( \frac{\mathrm{F}}{8 \mathrm{mR}} \)
(C) \( \frac{\mathrm{F}}{2 \mathrm{mR}} \)
(D) \( \frac{3 F}{2 m R} \)
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