Question

A thin uniform rod 1 m long has mass 1 kg. Find its moment of inertia and radius of gyration for rotation about a transverse axis through a point midway between its centre and one end.

Answer 1

Data : M = 1 kg, L = 1 m 

Let I_CM and I be the moments of inertia of the rod about a transverse axis through its centre, and a parallel axis midway between its centre and one end.

By the theorem of parallel axis,

If K is the radius of gyration about the parallel axis,