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MHT CET202016 Oct 2020Morning ShiftPhysicsRotational MotionActual

A solid cylinder of radius 'R' and mass 'M' rolls down an inclined plane of height 'h'. When it reaches the bottom of the plane, its rotational kinetic energy is ( g = acceleration due to gravity)

Options

  1. AMgh 3
  2. BMgh
  3. CMgh 2
  4. DMgh 4

Correct answer

A. Mgh 3

Step-by-step solution

aligned Total KE &= 1 2 Mv ²+ 1 2 I ² &= 1 2 Mv ²+ 1 2 ( 1 2 MR ² ) v ² &= 1 2 Mv ²+ 1 4 Mv ²= 3 4 Mv ²= Mgh aligned

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