Problem P. 4427. (March 2012)

P. 4427. An iron rod of length L is hung at a common point with threads of length $\ell$ which are attached to the two ends of the rod. The rod is displaced a bit in the plane of the threads. What is the length of the threads if the period of the swinging of the rod is the least, and what is this period?

(5 pont)

Deadline expired on April 10, 2012.

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

Megoldás. $\displaystyle \ell=L/\sqrt{3}$ esetén $\displaystyle T=T_{\rm min}=2\pi\sqrt{\frac{L}{\sqrt{3}g}}.$

Statistics:

48 students sent a solution.

5 points: Antalicz Balázs, Barta Szilveszter Marcell, Bingler Arnold, Bolgár Dániel, Csáky Pál, Csathó Botond, Cseuz Áron, Dinev Georgi, Fehér Zsombor, Filep Gábor, Fonyó Viktória, Horváth Dániel, Janzer Olivér, Jenei Márk, Kollarics Sándor, Koncz Gabriella, Kovács 444 Áron, Laczkó Zoltán Balázs, Lévai 482 Nikolett, Mázik László, Nagy Lajos, Öreg Zsombor, Papp Roland, Sárvári Péter, Seres Imre, Seress Dániel, Simig Dániel, Szabó 928 Attila, Szigeti Bertalan György, Ürge László.

4 points: Büki Máté, Czipó Bence, Juhász Péter, Szélig Áron.

3 points: 4 students.

2 points: 3 students.

1 point: 1 student.

0 point: 6 students.

Problems in Physics of KöMaL, March 2012

48 students sent a solution.
5 points:	Antalicz Balázs, Barta Szilveszter Marcell, Bingler Arnold, Bolgár Dániel, Csáky Pál, Csathó Botond, Cseuz Áron, Dinev Georgi, Fehér Zsombor, Filep Gábor, Fonyó Viktória, Horváth Dániel, Janzer Olivér, Jenei Márk, Kollarics Sándor, Koncz Gabriella, Kovács 444 Áron, Laczkó Zoltán Balázs, Lévai 482 Nikolett, Mázik László, Nagy Lajos, Öreg Zsombor, Papp Roland, Sárvári Péter, Seres Imre, Seress Dániel, Simig Dániel, Szabó 928 Attila, Szigeti Bertalan György, Ürge László.
4 points:	Büki Máté, Czipó Bence, Juhász Péter, Szélig Áron.
3 points:	4 students.
2 points:	3 students.
1 point:	1 student.
0 point:	6 students.

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