Mathematical and Physical Journal
for High Schools
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# Problem P. 3956. (February 2007)

P. 3956. There are three small discs of masses m1=0.2 kg, m2=0.3 kg, m3=0.52 kg on a horizontal air-cushioned table, and they are tied with thin massless threads of length L=60 cm, as shown in the figure. a) Find the distances between any of the discs and the centre of mass of the system. b) The system is made to rotate about the centre of mass at a constant angular speed of =10 s-1. Calculate the tensions in the threads.

(5 pont)

Deadline expired on March 12, 2007.

### Statistics:

 107 students sent a solution. 5 points: Almási 270 Gábor András, Almasi Susann Melinda, Antal 888 Zoltán, Blastik Zsófia, Blázsik Zoltán, Bőle Pál, Csányi Gergely, Csató Bertalan, Csengeri Béla, Danka Miklós András, Egyed Lenke, Farkas Ádám László, Filep Tibor, Földes Imre, Győry Erika, Hegyi Ádám, Horváth 795 Andrea, Horváth Bence, Iván Dávid, Kovács 513 Máté, Krämer Zsolt, Lovas Lia Izabella, Nagy 224 Csaba, Najbauer Eszter Éva, Nyíri Dávid Ákos, Pálovics Péter, Pálovics Róbert, Piller Éva, Pintér Sándor, Pósa László, Roósz Gergő, Sándor Bulcsú, Somogyi József, Szécsi Dorottya, Székely Gergely, Szilágyi Zsombor, Szük Dániel, Tolner Ferenc, Tóth 123 László, Tóth 796 Balázs, Tűri Balázs, Tüzes Dániel, Vécsi Áron. 4 points: 20 students. 3 points: 16 students. 2 points: 14 students. 1 point: 11 students. 0 point: 3 students.

Problems in Physics of KöMaL, February 2007