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m Reverted 1 edit by 106.205.17.183 identified as test/vandalism using STiki |
m in parallel axis theorem of mass moment of inertia, the parallel axis is parallel to the axis passes through the centre of mass of the body instead of its centre of gravity. |
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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.]]
Suppose a body of mass {{math|''m''}} is rotated about an axis {{math|''z''}} passing through the body's [[centre of gravity|centre 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
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