The 0.5-kg flyballs of a centrifugal governor revolve at a constant speed υ in the horizon...

The 0.5-kg flyballs of a centrifugal governor revolve at a constant speed υ in the horizontal circle of 150-mm radius shown. Neglecting the mass of links AB, BC, AD, and DE and requiring that the links support only tensile forces, determine the range of the allowable values of υ so that the magnitudes of the forces in the links do not exceed 75 N.