Mathematical and Physical Journal
for High Schools
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Problem P. 4394. (December 2011)

P. 4394. A semi-cylinder is cut out of a block and the block is fixed on the horizontal surface. A small body of mass m is released at the top of the cylinder shaped hole. (Friction is negligible.)

a) What is the force that the small body exerts on the block at the lowest point of its path?

b) If the block is able to move on the horizontal surface without friction, then the force exerted on the block by the small body at the lowest point is 3.5\,mg. By what fraction is the mass of the block greater than the mass of the small body?

(5 pont)

Deadline expired on January 10, 2012.

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

Megoldás. \(\displaystyle a)\) \(\displaystyle 3mg.\)

\(\displaystyle b)\) \(\displaystyle M=4m\).


115 students sent a solution.
5 points:52 students.
4 points:10 students.
3 points:15 students.
2 points:12 students.
1 point:16 students.
0 point:6 students.
Unfair, not evaluated:4 solutions.

Problems in Physics of KöMaL, December 2011