# Rolling without slipping in a ring!

A small block of mass $$m$$ is rigidly attached at $$P$$ to a ring of mass $$3m$$ and radius $$r$$. The system is released from rest at $$\theta = 90^\circ$$ and rolls without sliding.

If the angular acceleration of hoop just after release is $$\large \frac{g}{nr}$$, find the value of $$n$$.

×