$m$ and radius $R$ touching a rough wall of coefficient of friction $\mu$ and a rough floor of coefficient of friction $\mu$ as shown in figure. The ring has an initial angular velocity of $\omega_0$.

Consider a disc of massFind the time taken by the ring to come to a halt.

**Details and Assumptions**

The disc neither translates on the floor nor on the wall

$\mu = \dfrac{1}{2}$

$m = 1 kg$

$R = 4 m$

$g = 10 m/s^2$

$\omega_0 = 9 rad/s$