Mathematical and Physical Journal
for High Schools
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# Problem P. 4060. (March 2008)

P. 4060. The figure shows a disc and a trolley. The mass of the disc is m=5 kg, its radius is R=0.2 m, the mass of the trolley is M=8 kg, and its length is L=1 m. The trolley can move easily, and the disc does not slide on the trolley. The string which rolls down from the massless pulley attached to the disc is horizontal and the mass of the weight attached to its other end is also m. How long does it take for the disc to roll down from the trolley if it was released from rest at the middle of the trolley. The radius of the pulley is r=R/2? How much distance does the weight descend?

(5 pont)

Deadline expired on April 11, 2008.

### Statistics:

 39 students sent a solution. 5 points: Almási 270 Gábor András, Béres Bertold, Berta Katalin, Fonyó Dávid, Földes Imre, Hartstein Máté, Hlatky Dávid, Iván Dávid, Kalina Kende, Kovács 235 Gábor, Lovas Lia Izabella, Lőrincz Dóra, Nagy 648 Donát, Pálovics Péter, Patonay Gergely, Tószegi Károly, Török 125 Csaba. 4 points: Deák Zsolt, Szabó 895 Dávid, Szolnoki Lénárd, Tihanyi Benedek, Zsolczai Viktor. 3 points: 2 students. 2 points: 8 students. 1 point: 6 students. 0 point: 1 student.

Problems in Physics of KöMaL, March 2008