Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 4586. (December 2013)

P. 4586. A square shaped, uniform density carpet is rotated by 360o about one of its vertices, such that it slides on the floor with its whole area. The coefficient of kinetic friction is the same at any point of the floor. With performing the same work how many times can this carpet be rotated, sliding on the floor, about its centre?

(5 pont)

Deadline expired on January 10, 2014.

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

Megoldásvázlat. Kétszer tudnánk körbeforgatni. (A négyzetet négy egyforma darabra oszthatjuk.)

### Statistics:

 83 students sent a solution. 5 points: Antalicz Balázs, Balogh Menyhért, Berczi Benjámin, Berta Ádám Iván, Berta Dénes, Blum Balázs, Bugár 123 Dávid, Büki Máté, Csáky Pál, Csernák Tamás, Di Giovanni Márk, Fehér Zsombor, Fekete Panna, Holczer András, Horicsányi Attila, Horváth András Levente, Janzer Barnabás, Juhász Péter, Kaposvári Péter, Kovács Péter Tamás, Németh Gergely, Németh Kristóf, Olosz Balázs, Öreg Botond, Rózsa Tibor, Sal Kristóf, Seress Dániel, Szilágyi András, Trócsányi Péter, Virágh Anna, Zarándy Álmos. 4 points: Forrai Botond, Géczi Péter Attila, Iván Balázs, Sárvári Péter. 3 points: 2 students. 2 points: 31 students. 1 point: 12 students. 0 point: 2 students. Unfair, not evaluated: 1 solution.

Problems in Physics of KöMaL, December 2013