A hoop of radius r and mass m rotating with an angular velocity $\omega$ 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 ?

Question

$\begin{array}{1 1} (1)\;\large\frac{r \omega_0}{4} \\ (2)\;\large\frac{r \omega_0}{3} \\ (3)\;\large\frac{r \omega_0}{2}\\ (4)\;r \omega_0 \end {array}$