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. $\displaystyle r/R < 0{,}105\,12\approx 0{,}1.$

### Statistics:

 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