It can be shown in the accompanying figure that hangingcables form parabolic arcs rather
Chapter 10, Problem 42(choose chapter or problem)
It can be shown in the accompanying figure that hangingcables form parabolic arcs rather than catenaries if they aresubjected to uniformly distributed downward forces alongtheir length. For example, if the weight of the roadway ina suspension bridge is assumed to be uniformly distributedalong the supporting cables, then the cables can be modeledby parabolas.(a) Assuming a parabolic model, find an equation for thecable in the accompanying figure, taking the y-axis tobe vertical and the origin at the low point of the cable.(b) Find the length of the cable between the supports.
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