Mathematical and Physical Journal
for High Schools
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# Problem P. 3978. (April 2007)

P. 3978. A rod of mass m and length =1 m slides down on a slope such that one of its end slides along the slope and the other slides along the horizontal without friction. Initially the rod touches the incline, the figure shows a snapshot of the motion later.

a) Find the speed of the endpoints A and B when the rod reaches the horizontal position.

b) What are these speeds when the rod encloses an angle of 30o with the horizontal.

(5 pont)

Deadline expired on May 11, 2007.

### Statistics:

 32 students sent a solution. 5 points: Balogh Máté, Fehér András, Hlatky Dávid, Horváth Bence, Lovas Lia Izabella, Nagy 224 Csaba, Pálovics Róbert, Szilágyi Zsombor, Varga Bonbien. 4 points: Almási 270 Gábor András, Dudás János, Iván Dávid, Nagy Loránd, Szolnoki Lénárd, Tolner Ferenc, Tüzes Dániel. 3 points: 5 students. 2 points: 2 students. 0 point: 4 students. Unfair, not evaluated: 5 solutions.

Problems in Physics of KöMaL, April 2007