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 Z;
(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.