Two wires AC and BC are tied to a 15-lb sphere which revolves at a constant speed υ in the...

Two wires AC and BC are tied to a 15-lb sphere which revolves at a constant speed υ in the horizontal circle shown. Knowing that θ 1 = 50° and θ 2 = 25° and that d = 4 ft, determine the range of values of υ for which both wires are taut.

Fig. P12.38