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Let us consider a rectangular plate of size a × b and thickness t about its centroidal axis.

 

Moments and Product of Inertia

 

Radii of Gyration

We can write,

Ixx = kx2 M

Iyy = ky2 M

Izz = kz2 M

where kx , ky and kz are the radii of gyration and M is the total mass.

An example: