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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A uniform circular disc of mass and radius is rotating with an angular velocity of about its own axis, which is vertical. Two uniform circular rings, each of mass and radius , are gently placed symmetrically on the disc in such a manner that they are touching each other along the axis of the disc and are horizontal. Assume that the friction is large enough such that the rings are at rest relative to the disc, and the system rotates about the original axis. The new angular velocity (in ) of the system is [JEE Advanced 2013]

Answer: 8

Solution

. Each ring's own centre is offset from the disc's axis by (its radius, since the two rings touch each other along the axis); each ring's moment of inertia about the

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Question ID VK-159195