The Disc is retarded to 0 rad/s

Consider a disc of mass $$m$$ 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 $$\omega_0$$.

Find 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

• $$\mu = \dfrac{1}{2}$$

• $$m = 1 kg$$

• $$R = 4 m$$

• $$g = 10 m/s^2$$

• $$\omega_0 = 9 rad/s$$

×