Using the property indicated in 7.124, determine the curve assumed by a cable of span L

Chapter 7, Problem 7.125

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Using the property indicated in 7.124, determine the curve assumed by a cable of span L and sag h carrying a distributed load w = w0 cos ( x/L), where x is measured from mid-span. Also determine the maximum and minimum values of the tension in the cable. PROBLEM 7.124 Show that the curve assumed by a cable that carries a distributed load w(x) is defined by the differential equation d2y/dx2 = w(x)/T0, where T0 is the tension at the lowest point.

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