It is shown in mechanics of materials that the stiffness
Chapter 13, Problem 13.63(choose chapter or problem)
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 4000-lb piece of machinery using a constant speed of 3 ft/s when the winch suddenly stops. Knowing that the steel cable has a diameter of 0.4 in., \(E = 29 \times 10^{6} \ lb/in^{2}\), 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.
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