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Hanging Rope of Minimum Elongation

Ghasi R. Verma and Joseph B. Keller
SIAM Review
Vol. 26, No. 4 (Oct., 1984), pp. 569-571
Stable URL: http://www.jstor.org/stable/2030979
Page Count: 3
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Hanging Rope of Minimum Elongation
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Abstract

It is shown how to taper a heavy rope, hanging vertically, to minimize the elongation due to its own weight plus a load at its lower end. Hooke's law is used to determine the elongation, and the calculus of variations is used to find that taper which minimizes it.

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