A thin, rigid, uniform rod has a mass of 2.00 kg and a length of 2.00 m.

(a) Find the moment of inertia of the rod relative to an axis that is perpendicular to the rod at one end.

(b) Suppose all the mass of the rod were located at a single point. Determine the perpendicular distance of this point from the axis in part (a), such that this point particle has the same moment of inertia as the rod does. This distance is called the radius of gyration of the rod.