Parallel axis theorem: Difference between revisions

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In [[physics]], the '''parallel axes rule''' can be used to determine the [[moment of inertia]] of a [[rigid object]] about any axis, given the moment of inertia of the object about the parallel axis through the object's [[center of mass]] and the perpendicular distance between the axes.

Let ''I''_''G'' denote the moment of inertia of the object about the center of mass, <var>''M</var>'' the object's mass and <var>''a</var>'' the perpendicular distance between the two axes. Then the moment of inertia about the new axis is given by:

:<math>I = I_G + M a^2.\,</math>