Parallel Axis Theorem
Let denote the moment of inertia for a rotation axis passing
through the center of mass, and let
denote
the moment of inertia for a rotation axis parallel to the first
but a distance
away from it. Then the parallel axis theorem
says that
![$\displaystyle I_d = I_0 + Md^2
$](http://www.dsprelated.com/josimages_new/pasp/img2735.png)
![$ M$](http://www.dsprelated.com/josimages_new/pasp/img11.png)
![$ d$](http://www.dsprelated.com/josimages_new/pasp/img139.png)
![$ M$](http://www.dsprelated.com/josimages_new/pasp/img11.png)
![$ d$](http://www.dsprelated.com/josimages_new/pasp/img139.png)
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Stretch Rule
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Perpendicular Axis Theorem