Solved: When a flexible cable of uniform density is suspended between two fixed points
Chapter 9, Problem 25(choose chapter or problem)
When a flexible cable of uniform density is suspended between two fixed points and hangs of its own weight, the shape of the cable must satisfy a differential equation of the form where is a positive constant. Consider the cable shown in thefigure.(a) Let in the differential equation. Solve the resultingfirst-order differential equation (in ), and then integrateto find .(b) Determine the length of the cable.z dydxzyx b 0y_b(0,
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