Mathematical and Physical Journal
for High Schools
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Problem P. 4468. (October 2012)

P. 4468. A circular piece of radius r is cut out of a disc of radius R as shown in the figure. At what ratio of r/R will the centre of mass of the remaining piece be closer to the centre of the disc than R/100?

(4 pont)

Deadline expired on November 12, 2012.

Sorry, the solution is available only in Hungarian. Google translation

Megoldásvázlat. \(\displaystyle r/R < 0{,}105\,12\approx 0{,}1.\)


147 students sent a solution.
4 points:96 students.
3 points:12 students.
2 points:20 students.
1 point:11 students.
0 point:4 students.
Unfair, not evaluated:4 solutions.

Problems in Physics of KöMaL, October 2012