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A smooth rod O P is fixed vertically. A disc of mass m and radius R is rolling without slipping at the given instant on a rough horizontal surface as shown. Velocity of centre of mass C of disc is v 0 . A rod A B of length L is connected with disc at A , R / 2 distance vertically up from centre of disc with pin joint (about which it can rotate freely), other end of the rod is attached to a small smooth ring B , which

Options

  1. A3 3 2 v 0
  2. B3 2 v 0
  3. Cv 0
  4. Dperpendicular to velocity of point Q ( Q and C are at same horizontal level)

Correct answer

A. 3 3 2 v 0

Step-by-step solution

V 1  cos  60 ∘ = 3 V 0 2  cos  30 ∘ ⇒ V 1 = 3 3 2 V 0

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