Mathematical and Physical Journal
for High Schools
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Problem P. 3860. (January 2006)

P. 3860. There is a semi-cylinder of radius R and mass M at rest on a horizontal table. On the top of the semi-cylinder there is a small cube of mass m=M/2. What is the force exerted by the sliding cube on the semi-cylinder in the position of

\alpha=30o if a) the semi-cylinder is fixed?

b) if the semi-cylinder can slide along the table without friction?

(5 pont)

Deadline expired on February 13, 2006.


Statistics:

84 students sent a solution.
5 points:Almási 270 Gábor András, Dudás János, Engedy Balázs, Hlatky Dávid, Kónya 495 Gábor, Molnár 811 Kristóf, Nagy 224 Csaba, Pásztor Attila, Pósa László, Szaller Dávid, Szilágyi Zsombor, Szük Dániel, Takátsy Balázs, Tűri Balázs, Tüzes Dániel, Varga Bonbien, Werner Miklós.
4 points:Csányi Róbert, Megyeri Balázs, Nyíri Dávid Ákos, Pálovics Róbert.
3 points:31 students.
2 points:18 students.
1 point:3 students.
0 point:10 students.
Unfair, not evaluated:1 solution.

Problems in Physics of KöMaL, January 2006