Example - Torques of equal magnitude are applied to a hollow cylinder and a solid sphere , both having the same mass and radius . The cylinder is free to rotate about its standard axis of symmetry , and the sphere is free to rotate about an axis passing through its centre . Which of the two will acquire a greater angular speed after a given time ?
Solution : We know that t = I∝ , since torque is equal so ( I∝ ) cylinder = ( I∝ ) sphere
Isphere = 2 / 5 MR 2 & Icylinder = MR 2 ∝cylinder < ∝sphere
Angular Momentum In Case of Rotation about a Fixed Axis