Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 4773. (November 2015)

P. 4773. A uniform thin rod of length $\displaystyle L=2$ m is suspended with a hook at the ceiling. The rod is raised into horizontal position and it is released with zero initial velocity. After passing the vertical position, when the rod encloses an angle of $\displaystyle 30^\circ$ with the vertical, the rod leaves the hook.

$\displaystyle a)$ What is the least distance between the ground and the hook, if the rod arrives to the ground in a vertical position?

$\displaystyle b)$ What is the maximum height of the bottom end of the rod during the motion?

(5 pont)

Deadline expired on December 10, 2015.

### Statistics:

 59 students sent a solution. 5 points: Asztalos Bogdán, Bartók Imre, Blum Balázs, Büki Máté, Csenger Géza, Csire Roland, Csorba Benjámin, Di Giovanni András, Fehér 169 Szilveszter, Forrai Botond, Iván Balázs, Jakus Balázs István, Kasza Bence, Kovács Péter Tamás, Körmöczi Dávid, Olosz Adél, Sal Kristóf, Szentivánszki Soma , Takács Attila, Tófalusi Ádám. 4 points: Édes Lili, Ghada Alshalan, Hanusz Fruzsina, Németh 777 Róbert, Németh Flóra Boróka, Páhoki Tamás, Pataki 245 Attila, Pázmán Előd, Szick Dániel, Tóth Adrián, Varga-Umbrich Eszter. 3 points: 5 students. 2 points: 11 students. 1 point: 8 students. 0 point: 3 students. Unfair, not evaluated: 1 solutions.

Problems in Physics of KöMaL, November 2015