3/178 The rigid assembly which consists of light rods and two 1.2-kg spheres rotates freely about a vertical axis. The assembly is initially at rest and then a constant couple M =2 N-m is applied for 5 s. Determine the final angular velocity of the assembly. Treat the small spheres as particles. PROBLEM 3/178 (a) Show that the angular momentum of the body may be expressed in the form H =126k, where 12, is its moment of inertia of the two spheres about the z-axis. Take the origin O to be at the bottom of the vertical rod. (b) Euler's second law states that M = HC, where M is the resultant of the external torques about 0. Deduce that in Problems 3/178, M=1I26. (c) Solve Problem 3/178. (d) Also show that for the body being discussed, the kinetic energy is given by 155 T =515 62 (e) Hence, deduce that