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 \(n\).

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