A cylinder of mass M and radius .H is resting on a horizontal platform which is parallel to X-Y plane) with its axis fixed along the Y-axis and free to rotate about its axis. The platform is given a motion in X-direction given by x = A cos $\mathrm{\omega t}$. There is no slipping between the cylinder and platform. The maximum torque acting on the cyliner during its motion is

• A

  $\frac{1}{2}{\mathrm{MRA\omega }}^2$

• B

  ${\mathrm{MRA\omega }}^2$

• C

  $2{\mathrm{mRA\omega }}^2$

• D

  ${\mathrm{mR\omega A}}^2{\cos }^2\mathrm{\omega t}$