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Highly selective Backlog Qs for JEE MainPhysicsRotational Motion

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity . If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity

Options

  1. A(M-2 m) M+2 m
  2. BM M+2 m
  3. C(M+2 m) M
  4. DM M+m

Correct answer

B. M M+2 m

Step-by-step solution

Key Idea Apply law of conservation of angular momentum. I ₁ ₁= I ₂ ₂ In the given case aligned I ₁ & = MR ^2 I ₂ & = MR ^2+2 mR ^2 ₁ & = aligned Then ₂= I₁ I₂ = M M+2 m

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