Question

what is gyration.Are moment of inertia and radious of gyration same?

Answer 1

The moment of inertia is directly proportional to the squared of the radius of gyration.

I=mk2I=mk2

I = Moment of inertia

m = mass of the body

k = radius of gyration

If you double the radius of gyration, keeping the mass of the body constant, the moment of inertia is quadrupled. If it is halved, the moment of inertia becomes quarter of what is was in the first place.