Mathematical and Physical Journal
for High Schools
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# Problem P. 4339. (April 2011)

P. 4339. Similar rubber bungs are stick together as shown in the figure. The bodies are placed to a pair of rails, which encloses a small angle with the horizontal. The distance between the rails is equal to the height of the original bungs. We experience with a surprise that one of the bodies always reach the bottom of the slope, and the other always gets derailed. Which one? (The bodies roll without sliding.)

(4 pont)

Deadline expired on May 10, 2011.

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

Megoldás. A síneken gördülő bal oldali gumidugópár mozgása stabil, a jobb oldali ábrán láthatóé pedig instabil. A különbséget a gördülési körök eltérő kerülete okozza.

### Statistics:

 53 students sent a solution. 4 points: Barta Szilveszter Marcell, Bingler Arnold, Dálya Gergely, Dányi Gábor, Dávid Bence, Garami Anna, Jéhn Zoltán, Kabos Eszter, Medek Ákos, Papp Roland, Sárvári Péter, Schwarcz Gergő, Szabó 928 Attila, Szentgyörgyi 994 Rita, Szigeti Bertalan György. 3 points: Bedőházi Zsolt, Dávid Péter, Fülep Andrea , Iglói Gábor, Laczkó Zoltán Balázs, Menyhárt Dorottya, Simon Sebestyén, Váncsa Szilárd, Varga 515 Balázs. 2 points: 19 students. 1 point: 3 students. 0 point: 6 students. Unfair, not evaluated: 1 solution.

Problems in Physics of KöMaL, April 2011