A cylinder of mass M and radius R is resting on a horizontal platform (which is parallel to the 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 the x-direction given by `x =A cos (omega t).` There is no slipping between the cylinder and platform. The maximum torque acting on the cylinder during its motion is ..................

Explanation

To solve the problem of finding the maximum torque acting on a cylinder resting on a horizontal platform that moves in the x-direction, we can follow these steps:

### Step 1: Understand the Motion of the Platform
The platform's motion is given by the equation:
\[ x = A \cos(\omega t) \]
This indicates that the platform oscillates in the x-direction with amplitude \( A \) and angular frequency \( \omega \).

### Step 2: Determine the Velocity and Acceleration of the Platform
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