Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_184

3/184 The two spheres of equal mass m are able to slide along the horizontal rotating rod. If they are initially latched in position a distance r from the rotating axis with the assembly rotating freely with an angular velocity \(\omega_0\), determine the new angular velocity \(\omega\) after the spheres are released and finally assume positions at the ends of the rod at a radial distance of 2r. Also find the fraction n of the initial kinetic energy of the system which is lost. Neglect the small mass of the rod and shaft.