Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
 Already signed up? New to KöMaL?

# Problem P. 4103. (October 2008)

P. 4103. The mass of a two-engine plane is m. Because of some breakdown there is a considerable difference between the thrusts of the engines, which is . Despite of the breakdown the pilot managed to drive the plane horizontally along a straight line.

a) What is the force exerted on the vertical surface of the tail if the distance between the tail and the centre of mass is one and a half times the distance between the two engines?

b) Why and by what angle did the pilot have to lean the plane?

The plane is symmetrical, and it can be assumed that after the breakdown air resistance is exerted at the plane of symmetry.

(5 pont)

Deadline expired on November 11, 2008.

### Statistics:

 38 students sent a solution. 5 points: Béres Bertold, Budai Ádám, Fejes Máté, Galzó Ákos Ferenc, Jéhn Zoltán, Kótai Áron, Kovács 646 Soma, Lászlóffy András, Lénárt Tamás, Lovas Lia Izabella, Maknics András, Marák Károly, Németh Gábor , Szük Dániel, Tóth Bence Barnabás, Varga 777 Ádám. 4 points: Bósza Gergő, Börcsök Bence, Czinder Gábor, Egyed Zsombor, Garaguly Gergő, Illés Dorottya, Kiss Boldizsár, Kovács 113 Hajnalka, Kovács Márk, Túri Attila, Zelei Kristóf. 3 points: 2 students. 2 points: 7 students. 1 point: 2 students.

Problems in Physics of KöMaL, October 2008