Question: A gun barrel weighing 1200 lb has a recoil spring of stiffness 20,000 lb/ft. If the barrel recoils 4 ft on firing, determine
(a) the initial recoil velocity of the barrel,
(b) the critical damping coefficient of a dash pot that is engaged at the end of the recoil stroke, and (c) the time required for the barrel to return to a position 2 in. from its initial position.