A reel has a hub radius \(R\), the peripheral radius \(3R\) and mass \(4m\). Its moment of inertia about its axis is \(3 m R^2 \).

A thin massless thread is wound on a reel. A block of mass \(m\) is hung through massless and frictionless pulleys as shown.

The reel is placed on a rough horizontal surface where the friction is sufficient to prevent slipping. The system is released from rest. Find acceleration to 2 decimal places (in \(\text{cm/s}^2\)) of the center of mass of the reel. Take \(g= \SI{10}{\meter\per\second\squared}.\)

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