Figure P4.49 shows a winch supported by a cantilever beam
Chapter , Problem 4.49(choose chapter or problem)
Figure P4.49 shows a winch supported by a cantilever beam at the stern of a ship. The mass of the winch is \(m_{w}\), the mass of the beam plus winch bracket and motor is \(m_{b}\). The object hoisted by the winch has a mass \(m_{h}\); the wire rope mass \(m_{r}\) is assumed to be negligible compared to the other masses. Find the equation of motion for the vertical motion \(x_{1}\) of the winch:
(a) assuming that the rope does not stretch and
(b) assuming that the rope stretches and has a spring constant \(k_{r}\).
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