Parallel axis theorem: Difference between revisions

Revision as of 22:54, 2 December 2021

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===Derivation===

{ ''Comment - This derivation is confusing because the symbols used in it do not correspond to those in the diagram on the right. Also, "perpendicular distance" is a number; it cannot be said to "lie" on the x-axis.'' ''The text could say, "both axes intersect the x-axis" or "the common perpendiculars to the two axes are parallel to the x-axis."'' }

We may assume, without loss of generality, that in a [[Cartesian coordinate system]] the perpendicular distance between the axes lies along the ''x''-axis and that the center of mass lies at the origin. The moment of inertia relative to the ''z''-axis is