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Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

Paragraph A solid cylinder of mass m is rotating with angular velocity ₀ about its fixed axis of symmetry. It is brought in contact with a plank of mass m placed on a smooth surface. There exist friction between cylinder and plank because of which plank starts moving. After some time plank moves such that the there is no slipping between cylinder and plank. Question The final velocity of the plank when there is no sl

Options

  1. A3 R ₀ 4
  2. BR ₀ 3
  3. CR ₀ 2
  4. D2 R ₀ 3

Correct answer

B. R ₀ 3

Step-by-step solution

On applying conservation of angular mome ntum about axis of rotation. aligned & 1 2 m R^2 ₀= 1 2 m R^2 +m R^2 & = ₀ 3 & v= ₀ R 3 aligned ( is final angular velocity of cylinder)

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