Question: The curve in which a uniform wire or rope hangs under its own weight is called a catenary. An example of a catenary that we

The curve in which a uniform wire or rope hangs under its own weight is called a catenary. An example of a catenary that we see every day is a wire strung between utility poles, as shown in Fig. 13.20. For a particular wire, the equation of the catenary it forms is y = 2(ex/4 + e−x/4), where (x, y) is a point on the curve. Find x for y = 5.8 m.


Fig. 13.20

Catenary

Catenary

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