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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

Three particles ( A , B , C ) each of mass m are connected by three massless rods of length l . All three particles lie on a smooth horizontal plane. A particle of mass m moving along one of the rods with velocity V 0 strikes on a particle and stops (as shown in the diagram). Tension in any of the rod just after the collision is

Options

  1. Am V 0 2 36 l
  2. Bm V 0 2 28   l
  3. Cm V 0 2 24   l
  4. Dm V 0 2 12   l

Correct answer

A. m V 0 2 36 l

Step-by-step solution

Applying conservation of angular momentum with respect to centroid. Initial angular momentum = final angular momentum r = l 2 t a n 30 o = l 2 3     ; m V 0 l 2 3 = I c m ω m V 0 l 2 3 = 3 m l 3 2 ω ;   ω = V 0 2 3 l 2 T c o s 30 ο = m ω 2 l 3 ; T = m V 0 2 36 l

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