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List of top Physics Questions on Rotational motion asked in MHT CET

A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?
A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?
Rate of cooling of a body is \(0.2^\circ \text{C/min}\) when excess temperature is \(20^\circ \text{C}\). The proportionality constant \( k \) is: