Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_194

3/194 The assembly of two 5-kg spheres is rotating freely about the vertical axis at 40 rev/min with \(\theta = 90^\circ\). If the force \(F\) which maintains the given position is increased to raise the base collar and reduce \(\theta\) to \(60^\circ\), determine the new angular velocity \(\omega\). Also determine the work \(U\) done by \(F\) in changing the configuration of the system. Assume that the mass of the arms and collars is negligible.