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 language | English |
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Pages (from-to) | 52-61 |
Number of pages | 10 |
Journal | Mathematics Magazine |
Volume | 91 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2018 Jan 1 |
Subject classification (UKÄ)
- Mathematics