A body of uniform rest mass may be rotated and its energy in the rotational state clearly exceeds its energy in its rest state. The relativistic classical analysis of the ratio of these energies is carried out for spheres, cylinders, and their shells as a function of one rotational parameter. Given the initial body’s geometry, and the relevant choice for the internal ‘‘holding field,’’ the ratio of the equatorial speed to the light speed is used to characterize the relativistic to nonrelativistic moment of inertia ratio as well as the energy ratio.