# Time required for the cylinder to stop?

Figure shows a uniform rigid rod of $$L$$ shape whose mass is $$m$$ and is lying in a vertical plane. It is hinged at one end and the other end is rubbing with a rotating solid cylinder of mass $$m$$ and radius $$R = 1 \text { m}$$. If the initial angular velocity of the cylinder is $$\omega_0 = 30 \text{ rad/sec}$$. Co-efficient of friction between the rod and the cylinder is $$\mu = 0.5$$.

After how much time (in second) will the cylinder stop rotating?

Take $$g = 10 \text{ m/s}^2$$.

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