Rolling without slipping in a ring!

A small block of mass ‘mm is rigidly attached at ‘P‘P’ to a ring of mass ‘3m3m’ and radius ‘rr. The system is released from rest at θ=90\theta = 90^\circ and rolls without sliding.

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

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