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
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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 point mass
rotating a distance
from the
center of rotation.
