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MHT CET202019 Oct 2020Evening ShiftPhysicsRotational MotionActual

A rope is wound around a solid cylinder of mass 1 ~kg and radius 0 4 ~m . What is the angular acceleration of cylinder, if the rope is pulled with a force of 25 ~N ? (cylinder is rotating about its own axis)

Options

  1. A50 rad / s ²
  2. B125 rad / s ²
  3. C10 rad / s ²
  4. D1 rad / s ²

Correct answer

B. 125 rad / s ²

Step-by-step solution

(A) Torque =F r=25 0.4=10 Nm array l I= M R² 2 = 1 (0.4)² 2 =0.08 ~kg - m ² = I = 10 0.08 =125 rad / s ² array

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