![]() ![]() Where tr denotes the sum of the diagonal elements of the outer product matrix, known as its trace. ![]() The moment of inertia relative to the z-axis is then The definition of the moment of inertia of a volume element which has a mass is given by where is the perpendicular distance from the axis of rotation to the volume element. We may assume, without loss of generality, that in a Cartesian coordinate system the perpendicular distance between the axes lies along the x-axis and that the center of mass lies at the origin. Derivation of the moment of inertia of a disk by RhEvans In physics, the rotational equivalent of mass is something called the moment of inertia. Parallel axes rule for area moment of inertia Derivation ![]()
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