Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?
I want the old design back!!! :-)

Problem P. 4822. (March 2016)

P. 4822. What should the angle between two forces be in order that their sum is equal to the

\(\displaystyle a)\) root-mean-square value of the magnitudes of the forces;

\(\displaystyle b)\) harmonic mean of the forces?

Under what conditions will these angles be minimal, and what are these minimum values?

(4 pont)

Deadline expired on April 11, 2016.


Statistics:

47 students sent a solution.
4 points:Balogh Menyhért, Csorba Benjámin, Di Giovanni András, Forrai Botond, Kluèka Vivien, Kovács 526 Tamás, Molnár Mátyás, Olosz Adél, Páhoki Tamás, Sal Kristóf, Szemerédi Levente, Wiandt Péter.
3 points:Asztalos Bogdán, Bekes Nándor, Blum Balázs, Bukor Benedek, Édes Lili, Elek Péter, Farkas Domonkos, Fehér 169 Szilveszter, Gémes Antal, Kormányos Hanna Rebeka, Kuchár Zsolt, Mány Bence, Marozsák Tóbiás , Merkl Gergely, Pszota Máté, Radnai Bálint, Simon Dániel Gábor, Tomcsányi Gergely, Zöllner András.
2 points:10 students.
1 point:5 students.
0 point:1 student.

Problems in Physics of KöMaL, March 2016