Parallel axis theorem: Difference between revisions

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==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 of mass.j]]
Suppose a body of mass {{math|''m''}} is made to rotated about an axis {{math|''z''}} passing through the body's [[centre of gravity]]. 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&prime;''}} 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