It is shown in mechanics of materials that the stiffness of an elastic cable is k= AE/L where A is the cross sectional area of the cable, E is the modulus of elasticity, and L is the length of the cable. A winch is lowering a 4100-lb piece of machinery using at a constant speed of 3 ft/s when the winch suddenly stops. Knowing that the steel cable has a diameter of 0.4 in., E=29 × 106 lb/in², and when the winch stops L= 30 ft, determine the maximum downward displacement of the piece of machinery from the point it was when the winch stopped. x 3 ft/s -10 30 ft