Moment of inertia depends upon

There is dependence primarily in two parameters concerning the moment of inertia: which axis one decides to use when defining this rotational inertia, as well as mass distribution about such an axis. It tells a measure of resistance, how much such an object fights changes in the rotational motion in which it travels. Such changes depend entirely upon the chosen rotation axis since that same object possesses different values if rotated by its axes in several directions. For instance, a solid cylinder has less moment of inertia when rotated about its central axis than when it is rotated about an axis located at its edge.

Another important factor is mass distribution. The more the mass is distributed farther from the axis of rotation, the greater the moment of inertia. That is why a thin ring has a greater moment of inertia than a solid disc of the same mass and radius, since the mass of the ring is all located at the edge.

Moment of inertia does not depend on torque, angular speed, or angular momentum. These are quantities that describe motion or forces acting on the object but do not affect the intrinsic resistance of the object to rotational acceleration. In a nutshell, moment of inertia is a property that belongs inherently to the shape, mass, and axis of the rotating object.

See more: – https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-6/