Designing for minimum elongation

Research output: Contribution to journalArticlepeer-review

Abstract

We reconsider the variational problem of finding the shape of a vertically hanging rope such that its elongation, due to the rope’s own weight and that of a load attached at its lower end, is minimum. The known solution is recalled and the missing proof of optimality is supplied.

Original languageEnglish
Pages (from-to)52-61
Number of pages10
JournalMathematics Magazine
Volume91
Issue number1
DOIs
Publication statusPublished - 2018 Jan 1

Subject classification (UKÄ)

  • Mathematics

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