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JEE Main202117 Mar 2021Evening ShiftPhysicsRotational MotionActual

A sphere of mass 2 kg and radius 0 . 5 m is rolling with an initial speed of 1 m s - 1 goes up an inclined plane which makes an angle of 30 ° with the horizontal plane, without slipping. How low will the sphere take to return to the starting point A ?

Options

  1. A0 . 60   s
  2. B0 . 52   s
  3. C0 . 56   s
  4. D0 . 80   s

Correct answer

C. 0 . 56   s

Step-by-step solution

a = g sin θ 1 + I m R 2 = 5 7 × 10 2 = 25 7 t = 2 v 0 a = 2 × 1 × 7 25 = 0 . 56 .

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