Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4517. (February 2013)

P. 4517. Four similar rods of uniform density are connected with frictionless hinges, and this frame is placed to a horizontal smooth tabletop, such that its shape is a square. Vertex P is acted upon by a horizontal force in the direction of the diagonal, and due to this force it begins to move at an acceleration of aP. What is the acceleration of the opposite vertex Q at which it begins to move?

(6 pont)

Deadline expired on March 11, 2013.


Sorry, the solution is available only in Hungarian. Google translation

Megoldásvázlat. \(\displaystyle a_Q=-\frac{1}{5}\,a_P.\) (Ez az eredmény az összes testre felírt haladó- és forgómozgási egyenletekből, vagy pl. az indulást követő nagyon rövid időtartamra alkalmazott munkatételből kapható meg.)


Statistics:

6 students sent a solution.
6 points:Fehér Zsombor, Papp Roland, Szabó 928 Attila.
5 points:Sárvári Péter.
4 points:1 student.
1 point:1 student.

Problems in Physics of KöMaL, February 2013