Physics - Rotation Question with Solution | TestHub

Let, the final velocity be VSo, angular momentum will remain conserved along point of contact By conservation of angular momentum Angular momentum will remain conserved along point of contact $$\begin{array}{rl}{I}_{\omega }& =\text{ constant }\\ m{v}_{0}r& =mvr+\frac{2}{5}m{r}^2\times \omega \left(\because \omega =\frac{v}{r}\right)\\ m{v}_{0}r& =mvr+\frac{2}{5}m{r}^2\left(\frac{v}{r}\right)\\ v_0& =v+\frac{2}{5}v\\ v_0& =\frac{7}{5}v\Rightarrow v=\frac{5}{7}{v}_0\end{array}$$