An inextensible cord of negligible mass passes over the rim of a solid disc of mass $M$ and radius $R$. The disc is free to rotate about an axis passing through the centre perpendicular to the plane of the screen, as shown in the figure. Two blocks of masses $M$ and $M / 2$ are attached to the two free ends of the cord. Assume that there is no slipping of the cord on the disc. The acceleration due to gravity is $g$. What is the value of the angular acceleration of the disc?

• Correct answer
  A

  $\frac{g}{4 R}$
• B

  $\frac{g}{2 R}$
• C

  $\frac{g}{R}$
• D

  $\frac{g}{3 R}$

Hence, the correct answer is option: 'A'.