A uniform disc of radius $$R$$ and mass $$M$$ is free to rotate only about its axis. A string is wrapped over its rim and a body of mass $$m$$ is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is:

A

$$\frac{2Mg}{2m+M}$$

B

$$\frac{2Mg}{2M+m}$$

C

$$\frac{2mg}{2M+m}$$

D

$$\frac{2mg}{2m+M}$$