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ipho_Problems71

# ipho_Problems71 - V International Physics Olympiad 1971...

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V International Physics Olympiad, 1971 Sofia, Bulgaria The problems and the solutions are adapted by Victor Ivanov University of Sofia, Faculty of Physics, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria Reference : O. F. Kabardin, V. A. Orlov, in “International Physics Olympiads for High School Students”, eds. V. G. Razumovski, Moscow, Nauka, 1985. (In Russian). Theoretical problems Question 1. A triangular prism of mass M is placed one side on a frictionless horizontal plane as shown in Fig. 1. The other two sides are inclined with respect to the plane at angles α 1 and α 2 respectively. Two blocks of masses m 1 and m 2 , connected by an inextensible thread, can slide without friction on the surface of the prism. The mass of the pulley, which supports the thread, is negligible. Express the acceleration a of the blocks relative to the prism in terms of the acceleration a 0 of the prism. Find the acceleration a 0 of the prism in terms of quantities given and the acceleration g due to gravity. At what ratio m 1 / m 2 the prism will be in equilibrium?

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