Consider a uniform disc of mass \( m \), radius \( r \), rolling wi...

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Consider a uniform disc of mass \( m \), radius \( r \), rolling without slipping on a rough surface with linear acceleration ' \( a \) ' and angular acceleration \( \alpha \) due to an
\( \mathrm{P} \) external force. \( F \) as shown in the figure. Coefficient of friction is \( \mu \).
The work done by the frictional force at the instant of pure rolling is
(1) \( \frac{\mu m g a t^{2}}{2} \)
(2) \( \mu m g a t^{2} \)
(3) \( \mu m g \frac{a t^{2}}{\alpha} \)
(4) Zero
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