Task id16416

The balls of the centrifugal regulator are connected by a horizontal spring, which has a ring in the middle through which the regulator axis passes without touching it (Fig.). The mass of each ball is m = 5 kg, the length of the rods on which the balls are attached is l = 60 cm, the length of the spring in the unstressed state is l1 = 40 cm, the spring stiffness is k = 200 N/m. At what frequency n does the regulator rotate if the angle of deviation of its rods from the vertical is a = 30°? Neglect the mass of the rods.