Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem M. 387. (May 2019)

M. 387. Cut an approximately spherical orange into two parts and place one of the two hemispheres'' on a slope, with the curved part of the orange touching the surface of the slope. Use a slope whose angle of elevation can easily be changed, and the surface of which is rough enough so the orange does not slip on it. Increase the angle of elevation of the slope, until the orange stays at rest in a slant position. Take a picture of the orange on the slope. Measure the maximum angle of elevation of the slope, and construct the centre of mass of the hemisphere.

(6 pont)

Deadline expired on June 11, 2019.

### Statistics:

 8 students sent a solution. 6 points: Kondákor Márk, Kozák 023 Áron, Olosz Adél, Pácsonyi Péter. 5 points: Varga 235 Áron. 4 points: 1 student. 3 points: 1 student. 2 points: 1 student.

Problems in Physics of KöMaL, May 2019