A governor is designed so that the valve of negligible mass at D will open once a vertical force greater than 20 Lg; is exerted on it. In initial testing of the device, the two llb masses are at x = l in. and are prevented from sliding along the rod by stops. Each mass is connected to the valve by 10 Win. springs that are both unstretched at x = 1 in. The governor rotates so that v1 = 30 ft/s when the stops are removed. When the valve opens, determine the position and velocity of the masses