Another Troublesome Cylinder!

A Solid Cylinder of Mass $M= 16 kg$ and Radius $R=2 metres$ is Resting on a Platform parallel to X-Y Plane such that the cylinder is free to rotate about the Y-axis . The Platform is give a motion along X-direction Given by $X=A cos(wt)$ values of $A$ and $w$ are 2 and 1 respectively .(Ignore gravitational pulls)

Assume there is enough Friction to cause rolling. If the maximum torque acting is $s$ , find the value of $3s$ .

This figure might give a rough idea:

$OR$ (When viewed from Z-axis) "C" is the cylinder and "P" is the platform !!