JEE Advanced2013PhysicsRotational MotionActual
A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s -1 about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m , 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
Correct answer
8
Step-by-step solution
Apply law of conservation of angular momentum I i ω i = I f · ω f ∴ ω f = I 2 · ω 2 I f = 1 2 × 50 × (0.4) 2 1 2 × 50 (0.4) 2 + 4 (6.25) (0.2) 2 × 10 = 8 rad/sec