Question:

A hoop of radius $\mathrm{r}$ and mass $m$ rotating with an angular velocity $\omega_{0}$ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip ?

1. $\frac{r \omega_{0}}{4}$

2. $\frac{r \omega_{0}}{3}$

3. $\frac{\mathrm{r} \omega_{0}}{2}$

4. $r \omega_{0}$

Correct Option: , 3

Solution: