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A cylinder of mass M, radius R is kept o...

A cylinder of mass M, radius R is kept on a rough horizontal plane at one extreme end of the platfonn at t = 0. Axis of the cylinder is parallel to z-axis. The platform is oscillating in the xy-plane and its displacement from origin is represented by x = 4 cos(`2pit`) metres. There is no slipping between the cylinder and the platfonn. Find the acceleration of the centre of mass of cylinder at t =`1/6`s
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A

`(-5)/3pi^2`

B

`(-2)/3pi^2`

C

`(-8)/3pi^2`

D

`(-4)/3pi^2`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A uniform solid cylinder of mass 5kg and radius 0.1m is resting on a horizontal platform (parallel to the x-y plane) and is free to rotate about its axis along the y-axis the platform is given a motion in the x direction given by x=0.2 cos (10t) m if there is no slipping then maximum torque acting on the cylinder during its motion is

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