Serdecznie zapraszamy na seminarium Katedry Systemów Informatycznych pt. „Simulation of a generalized Atwoods machine with Wolfram Mathematica”, które wygłosi dr hab. Alexander Prokopenya, prof. SGGW. Seminarium odbędzie się w poniedziałek 7 października o godzinie 12:15 w sali 3/40. Poniżej oraz w załączniku znajdą Państwo streszczenie wystąpienia. Seminarium będzie połączone z krótkim zebraniem katedry.
SIMULATION OF A GENERALIZED ATWOOD’S MACHINE WITH WOLFRAM MATHEMATICA
We consider a generalized version of Atwood’s machine when two bodies of masses $$m_1$$, $$m_2$$ ($$m_1 \le m_2$$) are attached to opposite ends of a massless inextensible thread wound round two massless frictionless pulleys of negligibly small radius. Both bodies are allowed to oscillate in the plane. Such a system has three degrees of freedom and is essentially non-linear. It demonstrates different kinds of motion, for example, quasi-periodic motion even in the case of equal masses of the bodies. Doing necessary symbolic calculations with Mathematica, we have shown that there exist periodic solutions of the equations of motion. Validity of the results obtained is demonstrated with the computer algebra system Wolfram Mathematica.
Dziekanat WZIiM 
