A governor is designed so that the valve of negligible mass at D will open once a

Question:

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