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P. 4341. A long slope of angle of elevation is made of solid rubber cylinders which can easily revolve about their fixed axles. The rollers, which have mass of m and radius R, are close to each other, but they do not touch each other. To what maximum speed can a crate of mass M be accelerated? (The coefficient of friction between the crate and the rollers is big enough.)

(5 points)

Deadline expired on 10 May 2011.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. $\displaystyle v_{\rm max}\approx \sqrt{\frac{4MgR\sin\alpha}{m}}.$

Statistics on problem P. 4341.
 50 students sent a solution. 5 points: Jéhn Zoltán, Szemes Gábor Bence. 4 points: Béres Bertold, Hegyfalvi Csaba, Maász Máté. 3 points: 44 students. 2 points: 1 student.

• Problems in Physics of KöMaL, April 2011

•  Támogatóink: Morgan Stanley