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  4. The spool shown in figure is placed on a rough horizontal surface has inner radius r and outer radius R. The angle θ between the applied force and the horizontal can be varied. The critical angle (θ) for which the spool does not roll and remains stationary is given by

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Q. The spool shown in figure is placed on a rough horizontal surface has inner radius $r$ and outer radius $R$. The angle $\theta$ between the applied force and the horizontal can be varied. The critical angle $(\theta)$ for which the spool does not roll and remains stationary is given byPhysics Question Image

System of Particles and Rotational Motion

Solution:

Correct answer is (a) $\theta=\cos ^{-1}\left(\frac{r}{R}\right)$