The moment of inertia of the body is the sum of the individual moments of inertia of all the particles

This sum can be expressed as an integral:

The moment of inertia of a body is a measure of its resistance to an increase in its rate of rotation. This is analogous to the mass of a body, which is a measure of its resistance to acceleration (by Newton's Second Law,

Using the parallel axis theorem we can calculate the moment of inertia of the body about a different axis passing through point

Below are some common inertia values, all evaluated about an axis passing through the center of mass

It's worth noting that, when calculating the moment of inertia in a plane, it is independent of the orientation of the

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