A mass m is moving at speed v perpendicular to a rod of length d and mass M = 6 m which…

Physics · JEE Advanced · NTA ExamsRotational Motion

A mass m is moving at speed v perpendicular to a rod of length d and mass M = 6 m which pivots around a frictionless axle running through its centre. If it strikes and sticks to the end of the rod. The moment of inertia of the rod about its centre is Md2/12 . Then the angular speed of the system just after the collision is:
  Shape Description automatically generated with medium confidence
  1. \(\frac{2 v}{3 d}\)
  2. \(\frac{2 v}{d}\)
  3. \(\frac{v}{d}\)
  4. \(\frac{3 v}{2 d}\)

Answer

(A) 2 v 3 d

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