A cable is hanging from two supports at A and B (Figure). The cable is loaded with
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Where wo = 1000 lbs/ft. The slope of the cable (dy/dx) = 0 at x = 0, which is the lowest point for the cable. It is also the point where the tension in the cable is a minimum of To. The differential equation that governs the cable is
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Solve this equation using a numerical method and plot the shape of the cable (y versus x). For the numerical solution, the value of To is unknown, so the solution must use an iterative technique, similar to the shooting method, to converge on a correct value of hA for various values ofTo.
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Related Book For 
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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