Mathematical and Physical Journal
for High Schools
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Problem P. 4823. (March 2016)

P. 4823. Two spheres (with uniform density) are placed to a fixed inclined plane of angle of elevation \(\displaystyle \alpha\) as shown in the figure. What can the angle \(\displaystyle \alpha\) be if it can be assumed that during the rolling motion of the spheres the line which joins the centres of the spheres remains vertical? What is the acceleration of the spheres in this case?

(Air drag is negligible, and the static friction is big enough.)

(5 pont)

Deadline expired on April 11, 2016.


Statistics:

29 students sent a solution.
5 points:Asztalos Bogdán, Balogh Menyhért, Bekes Nándor, Blum Balázs, Csorba Benjámin, Di Giovanni András, Elek Péter, Fehér 169 Szilveszter, Fekete Balázs Attila, Forrai Botond, Gergely 444 Kornél, Ghada Alshalan, Iván Balázs, Kasza Bence, Körmöczi Dávid, Marozsák Tóbiás , Németh 777 Róbert, Olosz Adél, Páhoki Tamás, Sal Kristóf, Szentivánszki Soma , Tófalusi Ádám, Tomcsányi Gergely, Varga-Umbrich Eszter, Zöllner András.
3 points:1 student.
2 points:2 students.
1 point:1 student.

Problems in Physics of KöMaL, March 2016