Parallel axis theorem: Difference between revisions

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Let ''I''<sub>''CM''</sub> denote the moment of inertia of the object about the center of mass, ''M'' the object's mass and ''d'' the perpendicular distance between the two axes. Then the moment of inertia about the new axis ''z'' is given by:
 
:<math> I_z = I_{cm} + Md^2.\,</math>
 
This rule can be applied with the [[stretch rule]] and [[perpendicular axes rule]] to find moments of inertia for a variety of shapes.