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