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Question: the curve yx of an inextensible flexible homogeneous cable hanging...

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The curve y(x) of an inextensible flexible homogeneous cable hanging between two fixed points is obtained by solving the second-order ODE given below, where pis the material density, A is the cable cross-sectional area, g is the gravity acceleration, and To is the horizontal component of the tension in the cable (To = constant). This curve is called catenary from Latin catena which means chain. Find the solution y(x) of the ODE, then determine the length of the cable s and the sag h. Hint: convert the nonlinear second-order ODE to a system of first-order ODEs. To L/2 L/2

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