Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4528. (March 2013)

P. 4528. An unexpansible, flexible heavy rope is hung to two nails, held at the same height as shown in the figure. The rope is at rest in this position. The length of the rope between the nails is \ell and the deepest point of this part of the hanging rope is at a depth of h, measured from the level of the nails. How long is the rope? (Friction is negligible.)

(6 pont)

Deadline expired on April 10, 2013.

Sorry, the solution is available only in Hungarian. Google translation

Megoldásvázlat. A kötél teljes hossza \(\displaystyle L=\ell+h+{\ell^2}/{(4h)}.\)


20 students sent a solution.
6 points:Antalicz Balázs, Fehér Zsombor, Janzer Barnabás, Jenei Márk, Juhász Péter, Kovács 444 Áron, Medek Ákos, Olosz Balázs, Sal Kristóf, Sárvári Péter, Szabó 928 Attila, Vajda Balázs.
5 points:Barta Szilveszter Marcell, Csáky Pál, Papp Roland.
3 points:2 students.
1 point:1 student.
0 point:2 students.

Problems in Physics of KöMaL, March 2013