Figure shows a winch supported by a cantilever beam at the stern of a ship. The mass

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Figure shows a winch supported by a cantilever beam at the stern of a ship. The mass of the winch is mw, the mass of the beam plus winch bracket and motor is mb. The object hoisted by the winch has a mass mb; the wire rope mass mr is assumed to be negligible compared to the other masses. Find the equation of motion for the vertical motion x1 of the winch:
(a) Assuming that the rope does not stretch and
(b) Assuming that the rope stretches and has a spring constant kr.
Figure shows a winch supported by a cantilever beam at
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System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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