Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem M. 381. (November 2018)

M. 381. Make a cylinder from a sheet of A4-size paper (or some part of it) by gluing it. Roll it down from the top of an inclined plane, which is on a table such that its lower end is just at the rim of the table.

Measure how far from the vertical projection of the rim of the table on the floor the cylinder reaches the floor. (The cylinder should roll without sliding.) How does this distance depend on the diameter of the cylinder? Compare your results with the horizontal displacement of a small object (e.g. a coin) which slides without rolling along the slope and falls from the end of the slope.

(6 pont)

Deadline expired on December 10, 2018.

### Statistics:

 17 students sent a solution. 6 points: Csépányi István, Kondákor Márk, Kozák 023 Áron, Olosz Adél, Pácsonyi Péter. 5 points: Varga 235 Áron. 4 points: 2 students. 3 points: 3 students. 2 points: 1 student. 1 point: 3 students. 0 point: 2 students.

Problems in Physics of KöMaL, November 2018