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Line 3: ==Mass moment of inertia== [[File:Steiner.png\|thumb\|right\|The mass moment of inertia of a body around an axis can be determined from the mass moment of inertia around a parallel axis through the ~~centre~~center of mass.]] Suppose a body of mass {{math\|''m''}} is rotated about an axis {{math\|''z''}} passing through the body's [[~~centre of gravity\|centre~~center of mass]]. The body has a moment of inertia {{math\|''I''<sub>cm</sub>}} with respect to this axis. The parallel axis theorem states that if the body is made to rotate instead about a new axis {{math\|''z′''}}, which is parallel to the first axis and displaced from it by a distance {{math\|''d''}}, then the moment of inertia {{math\|''I''}} with respect to the new axis is related to {{math\|''I''<sub>cm</sub>}} by :<math> I = I_\mathrm{cm} + md^2.</math>

Parallel axis theorem: Difference between revisions