The cable between the two towers of a power line hangs in the shape of the curve
where T is the tension in the cable at its lowest point and w is the weight of the cable per unit length. This curve is called a catenary.
- (a) Suppose the cable stretches between the points x = −T ∕w and x = T ∕w. Find an expression for the “sag” in the cable. (That is, find the difference between the height of the cable at the highest and lowest points.)
- (b) Show that the shape of the cable satisfies the equation
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Chapter 3 Solutions
Calculus: Single And Multivariable
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