Theory and ExamplesSuspension bridge cables hang in
Chapter 11, Problem 70E(choose chapter or problem)
Problem 70E
Theory and Examples
Suspension bridge cables hang in parabolas The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per horizontal foot. It can be shown that if H is the horizontal tension of the cable at the origin, then the curve of the cable satisfies the equation
Show that the cable hangs in a parabola by solving this differential equation subject to the initial condition that y = 0 when x = 0
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