Physics - Rotation Question with Solution | TestHub

A solid sphere of mass m and radius r is given an initial angular velocity ${\omega }_0$ on and a linear velocity ${\mathrm{v}}_0=\lambda \mathrm{r}{\omega }_0$ from a point A on a rough horizontal surface. It is observed that the ball turns back and returns to the point A after some time if $\lambda$ is less than a certain maximum value ${\lambda }_0$. Find $10{\lambda }_0$.