The shape of a cable hanging with no load other than its own weight is a catenary curve. A particular bridge cable is described by the catenary y(x) = 10 cosh[(x - 20)/10] for 0 ≤ x ≤ 50, where x and y are the horizontal and vertical coordinates measured in feet.

The length L of a curve described by y(x) for a ≤ x ≤ b can be found from the following integral:

 

Determine the length of the cable.

Transcribed Image Text:

(dy \dx) 2. L = 1 + dx