(Solved): /228 The two spheres of equal mass m are able to slide along the horizontal rotating rod. If they a ...

/228 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 $${?}_0$$, determine the new angular velocity $$?$$ 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. Problem $$3/228$$