Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4069. (April 2008)

P. 4069. The figure shows a circular trough in a vertical plane. A small object is started at point A with a vertically downward initial velocity, such that it runs along the trough until it reaches point B, at which it takes off, and then it falls back exactly to point A. What is the maximum value of the angle \beta? (Air resistance is negligible.)

(5 pont)

Deadline expired on May 13, 2008.


Statistics:

39 students sent a solution.
5 points:Almási 270 Gábor András, Berta Katalin, Blázsik Zoltán, Bodosi Eszter, Dein Zsolt, Deli Gábor, Filep Tibor, Fonyó Dávid, Földes Imre, Iván Dávid, Krämer Zsolt, Kupcsik Réka, Lovas Lia Izabella, Maknics András, Marák Károly, Márkus Bence Gábor, Nagy 648 Donát, Para Attila, Rárósi Dávid, Szolnoki Lénárd, Tamási Mátyás, Tolner Ferenc, Varga 777 Ádám.
4 points:Bali-Papp Donát, Farkas Márton, Hartstein Máté, Hlatky Dávid, Kunsági-Máté Éva, Patartics Bálint, Piller Éva, Reiter Viktor, Szabó 895 Dávid, Túri Attila.
3 points:1 student.
1 point:1 student.
0 point:4 students.

Problems in Physics of KöMaL, April 2008