Question

a solid sphere is rotating freely about its symmetry axis in free space. the radius of the sphere is increased keeping it's mass same. which of the following physical quantities would remain constant for the sphere

Answer 1

Angular momentum will remain constant

Answer 2

In the rotating freely symmetry most of the quantities will change but only angular moment remain same.

• There are other quantities like the rotational kinetic energy , angular velocity and moment of inertia.
• As it is given there is freely rotating surface, that means the no external torque will be there on the body.
• Due to which the mass of the body remain constant but the radius will change.
• That leads to the rotational kinetic energy and angular velocity to change its position.
• But due to the conservation of momentum, the angular moment remain same.