ABSTRACT

It so happens that several of the moments of inertia computed in the examples in Chapters 36 and 37 are related via the Parallel Axis Theorem.

PARALLEL AXIS THEOREM The parallel axis theorem expresses the moment of inertia of a body about a particular axis in terms of its moment of inertia about another axis, parallel to the first and passing through the CofM of the body,

I ≡ ICofM +M D2 . The added bit consists of a [dimensionally appropriate] combination of: the total mass of the body, M , and the [unique minimal] distance between the parallel axes, D.