|Class 11 Physics Rotational Motion||Dynamics of Rotational Motion about a Fixed Axis|
Dynamics of Rotational Motion about a Fixed Axis
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 MR2 & Icylinder = MR2
∝cylinder < ∝sphere