# Too much variables?

A cylindrical pulley of mass $$M$$ & radius $$R$$ is connected to another cylindrical pulley of mass $$\dfrac{M}{2}$$ and radius $$\dfrac{R}{2}$$ through a massless string as shown in figure. If sufficient string is wrapped over larger pulley, find the acceleration of mass $$M$$ attached to the smaller pulley, when whole system is released from rest.

$$\large{Assume~there~is~no~slipping~in~either~pulley}$$.

Take $$g=9.8~ms^{-2}$$

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