JEE Main · PhysicsHard
A disc of mass $M$ and radius $R$ is rotating with angular velocity $\omega$. A second identical disc is placed gently on top of the first. The final angular velocity of the system is:
- A.$\frac{\omega}{2}$
- B.$\frac{\omega}{4}$
- C.$\frac{2\omega}{3}$
- D.$\omega$
Show correct answer & step-by-step solution
Correct answer: A — $\frac{\omega}{2}$
Solution
By conservation of angular momentum, . Since , we have , so .
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