Question: A catenary cable is one that hangs between two points that are not vertically aligned and subjected only to its own weight. The weight of

A catenary cable is one that hangs between two points that are not vertically aligned and
subjected only to its own weight. The weight of the cable (Nm) acts as a uniform load per
unit length along its length. A free-body diagram of a section AB is depicted below:
where TA and TB are the tension forces at the end. By using calculus, the equation for the height
y of the cable as a function of x can be derived as:
y=TAwcosh(wTAx)+y0-TAw
Given the parameter values w=10,y0=5, and y=15 at x=50, calculate TA.
(b) Provide the derivative function f'(TA).
(c) Use the Newton-Raphson method with an initial guess of TA0=200 to find the root TA,
applying the stopping criteria of as=(0.5102-d)% where d=7 significant
figures. Display each iteration in the format: (#Iteration, ).
A catenary cable is one that hangs between two

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