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The '''moment of [[inertia]]''' is a measure of a [[mass]] and its distance [[perpendicular]] to an [[axis]] of rotation.
The '''moment of [[inertia]]''' is a measure of a [[mass]] and its distance [[perpendicular]] to an [[axis]] of rotation. It describes an objects resistance to change in rotation.
The formula to calculate a moment of inertia between a point and a point mass is:
:<big><big><math>I = m r^2</math></big></big>
where r is the displacement between the two points, m is the mass of the point mass and I is the moment of inertia.
If you have a finite set of point mass's and want to find their moment of inertia around a point you simply add the moment of inertia of each object to get the following:
:<big><big><math>I = \sum_{n=1}^{n} m_{n} r_{n}^2</math></big></big>
It is important to note that you can not simply take the centre of mass of an object and use it as a point mass. Instead you need to use integration:
Mathematically, the moment of inertia ''I'' for a mass ''m'' that is moving a perpendicular distance of ''r'' from an axis is expressed as:
Mathematically, the moment of inertia ''I'' for a mass ''m'' that is moving a perpendicular distance of ''r'' from an axis is expressed as: