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

where denotes the total mass. Thus, the added inertia due to displacement by meters away from the centroidal axis is equal to that of a

[How to cite this work] [Order a printed hardcopy] [Comment on this page via email]

Copyright ©

Center for Computer Research in Music and Acoustics (CCRMA), Stanford University