Question: A cable is suspended between two poles as shown in Fig-ure 6.9.2. Assume that the equation of the curve formed bythe cable isy=acosh(x/a), whereais a

A cable is suspended between two poles as shown in Fig-ure 6.9.2. Assume that the equation of the curve formed bythe cable isy=acosh(x/a), whereais a positive constant.Suppose that thex-coordinates of the points of support arex=-bandx=b, whereb>0.(a) Show that the lengthLof the cable is given byL=2asinhbe(b) Show that the says( the vertical distance between thehighest and lowest points on the cable) is given byS=acoshba-a71-72These exercises refer to the hanging cable described in Exercise 70.m

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