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JEE Main20202 Sep 2020Morning ShiftPhysicsMotion in Two DimensionsActual

A uniform cylinder of mass M and radius R is to be pulled over a step of height a a < R by applying a force F at its centre ' O ' perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of F required is :

Options

  1. AMg 1 - R - a R 2
  2. BMg R R - a 2 - 1
  3. CMg a R
  4. DMg 1 - a 2 R 2

Correct answer

A. Mg 1 - R - a R 2

Step-by-step solution

Mg 1 - R - a R 2 F R > M g c o s θ   R F > M gcos θ F > M g R 2 - ( R - a ) 2 R . ⇒ Mg 1 - R - a R 2

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