Question

Moment of inertia, of a spinning body about an axis, doesn’t depend on which of the following factors?

(a) Distribution of mass around axis

(b) Orientation of axis

(c) Mass

(d) Angular velocity

I have been asked this question in semester exam.

The query is from Moment of Inertia topic in section System of Particles and Rotational Motion of Physics – Class 11

Answer 1

Right answer is (d) Angular velocity

Explanation: Moment of inertia is the summation of product of mass and perpendicular distance from the axis squared of each particle. More the mass, more will be its value. It depends on perpendicular distance hence, it will depend on orientation and distance of particles from the axis. But, it doesn’t depend on the angular velocity. As the body having a particular value of moment of inertia can achieve any value of angular velocity depending on the torque applied on it.