Perpendicular Axis Theorem
For the simplicity of calculation, it is often desired to define the polar moment of inertia (with respect to a perpendicular axis) in terms of two area moments of inertia (both with respect to in-plane axes). The simplest case relates to and .
This relationship relies on the Pythagorean theorem which relates and to and on the linearity of integration.
Read more about this topic: Second Moment Of Area
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