Previous

Moments and Product of Inertia

Thus,

Izz = Iz'z' + Md2

Similar thing will hold good for the moment of inertia about other axes.

Thus, the moment of inertia of a body about any axis equals the moment of inertia of the body about a parallel axis that goes through the center of mass, plus the total mass times the perpendicular distance between the axes squared .

For the product of inertia, a similar relation can be reached. For Ixy , for example, we have

Ixy = Ix'y' +Mxcyc