Mathematical and Physical Journal
for High Schools
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Problem P. 3859. (January 2006)

P. 3859. The angle of elevation of an inclined plane of length L is \alpha. The coefficient of friction on the top half of the plane is \mu1 and on the bottom part \mu2. At the top of the plane a plate of length l<L/2 is released. (The contact between the surface of the plate and the slope is uniform.) Under what conditions does the plate stop exactly when the front of the plate reaches the bottom of the slope.

(5 pont)

Deadline expired on February 13, 2006.


Statistics:

118 students sent a solution.
5 points:Almási 270 Gábor András, Balogh Máté, Beck Zoltán, Blázsik Zoltán, Dudás János, Enczel Dávid, Engedy Balázs, Farkas Ádám László, Fischer Richárd, Gombos Gergely, Gresits Iván, Harsányi Szabolcs, Hlatky Dávid, Horváth 795 Andrea, Horváth Tamás, Hujter Bálint, Iván Dávid, K. Gergely, Károlyi Márton, Kónya 495 Gábor, Kovács 005 Péter, Kovács 129 Gábor, Legoza József, Lovas Lia Izabella, Matulik Gábor, Megyeri Balázs, Molnár 811 Kristóf, Nagy 224 Csaba, Nagy 317 Péter, Nagy 897 Zsolt, Nyíri Dávid Ákos, Pálovics Róbert, Pásztor Attila, Pécs 777 László, Pósa László, Roósz Gergő, Sajtos László, Széchenyi Gábor, Székely Gergely, Szerző 145 Péter, Szilágyi Zsombor, Szirmai Péter, Szűcs Gergely, Takátsy Balázs, Tolnai Gábor, Tóth 796 Balázs, Török Balázs, Tűri Balázs, Vécsi Áron, Werner Miklós.
4 points:37 students.
3 points:19 students.
2 points:4 students.
1 point:2 students.
0 point:3 students.
Unfair, not evaluated:3 solutionss.

Problems in Physics of KöMaL, January 2006