In physics 105, you will learn (or have learned) that, relative to the center of mass, the kinetic energy of any freely-rotating rigid body may be expressed as where 11, 12, and 13 are nonnegative constants, the so-called principal moment of inerta, and . and l2, and l3 are corresponding components of angular momentum not however measured in the aforementioned inertial frame moving with the com, but along a certain set of three mutually perpendicular directions fixed in the so-called body frame, which is a frame of reference in which the object is at rest. even thought the latter reference frame is not in general an inertial frame, these principal components of angular momentum will still satisfy the usual quantum mechanical commutation relations, and they still allow us to find the rotational kinetic energy in an inertial com frame (a) a symmetric top corresponds to the case where relative to the center of mass. 2. find the allowed values of kinetic energy (b) for a cube of uniform density of total mass m and edge length a, the principal moments of inertia are all equal, 1,-12 = t-mar. find all nd the allowed kinetic energies in a center-of-mass inertial frame.