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List of top Physics Questions on Rotational motion asked in BITSAT

A disc of moment of inertia \( I \) is rotating with angular velocity \( \omega \). A ring of the same mass and radius, initially at rest, is gently placed coaxially on top of the disc. What is the final angular velocity of the system?
A solid sphere of mass 2 kg and radius 0.5 m rolls without slipping down an inclined plane of height 3 m. What is its speed at the bottom? (Take \( g = 9.8\, \text{m/s}^2 \))