P. 3867. An unstretchable string of uniform density and constant diameter is suspended at one of its ends and is hanging. At a length of L it breaks under its own weight. Is it conceivable that there is such shape of string which does not get broken under its own weight however long it is?

(5 points)

Deadline expired.

Statistics on problem P. 3867. 38 students sent a solution. 5 points: Blázsik Zoltán, Konczer József, Kónya 495 Gábor, Kunsági-Máté Éva, Megyeri Balázs, Nagy 224 Csaba, Pásztor Attila, Petrás András, Pósa László, Roósz Gergő, Széchenyi Gábor, Szűcs Gergely, Tüzes Dániel, Werner Miklós. 4 points: Almási 270 Gábor András, Dudás János, Hotzi Bernadette, Nagy 317 Péter, Nagy 555 Zoltán, Nyíri Dávid Ákos, Szolnoki Lénárd. 3 points: 5 students. 1 point: 5 students. 0 point: 7 students.