Solution: Using principles from physics it can be shown that when a cable is hung
Chapter 3, Problem 52(choose chapter or problem)
Using principles from physics it can be shown that when a cable is hung between two poles, it takes the shape of a curve y fsxd that satisfies the differential equation d2 y dx 2 t T 1 1 S dy dx D 2 where is the linear density of the cable, t is the acceleration due to gravity, T is the tension in the cable at its lowest point, and the coordinate system is chosen appropriately. Verify that the function y fsxd T t coshS tx T D is a solution of this differential equation.
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