Find the moment of inertia
(a) of a thin uniform rod relative to the axis which is perpendicular
to the rod and passes through its end, if the mass of the rod is m and
its length 1;
(b) of a thin uniform rectangular plate relative to the axis passing
perpendicular to the plane of the plate through one of its vertices,
if the sides of the plate are equal to a and b, and its mass is m.