Question:
A thin circular ring of mass $\mathrm{M}$ and radius $\mathrm{r}$ is rotating about its axis with an angular speed $\omega$. Two particles having mass $m$ each are now attached at diametrically opposite points. The angular speed of the ring will become:
Correct Option: , 3
Solution:
(3)
Using conservation of angular momentum
$\left(\mathrm{Mr}^{2}\right) \omega=\left(\mathrm{Mr}^{2}+2 \mathrm{mr}^{2}\right) \omega^{\prime}$
$\omega^{\prime}=\frac{M \omega}{M+2 m}$