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JEE Main20208 Jan 2020Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

Consider a uniform rod of mass M = 4 m and length l pivoted about its centre. A mass m moving with velocity v making angle θ = π 4 to the rod’s long axis collides with one end of the rod and sticks to it. The angular speed of the rod-mass system just after the collision is:

Options

  1. A3 7 2 v l
  2. B3 7 v l
  3. C3 2 7 v l
  4. D4 7 v l

Correct answer

C. 3 2 7 v l

Step-by-step solution

L o i = L o f m V 2 × L 2 = 4 m L 2 12 + m L 2 4 × ω ω = 6 V 7 2 L = 3 2 V 7 L

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