For a particle I = Mr 2, where m is its mass and r is the vertical distance between the particle and the axis of rotation.

The moment of inertia only depends on the shape, mass distribution and the position of the rotation axis of the rigid body, and has nothing to do with the state of the rigid body rotating around the axis (such as angular velocity).

For homogeneous rigid bodies with regular shapes, integral calculation can be used. Generally, it is enough to bring a calculation formula. For irregular or uneven rigid bodies, the moment of inertia is generally measured by experiments.

For a cylinder, a hollow cylinder with radius r, thickness dr and height l is taken as the research object, its mass dm=ρ*2πr*L*dr, and its moment of inertia di = r 2 * ρ * 2π r * l * dr By integrating di from 0 to r, I =1/2π r4 * l.

This I am ai.

Look at my hard typing. Give me a good comment, dear.