Problem M. 262. (September 2005)
M. 262. Make different cylinder-shaped bodies from different materials of uniform density (wood, paraffin etc.) such that the ratios of their heights (h) and diameters (d) are different. Examine at which density and ratio of h/d can the cylinder float in a stable equilibrium position such that its symmetry axis is vertical.
Deadline expired on October 11, 2005.
20 students sent a solution. 6 points: Kőrösi Márton, Meszéna Balázs, Tüzes Dániel. 5 points: Kocsis Vilmos, Láng Marcell, Meltzer Mónika, Mirk Katinka, Nagy 025 Nárcisz, Vincze Gábor Gellért. 4 points: 3 students. 3 points: 3 students. 2 points: 2 students. 1 point: 1 student. 0 point: 2 students.