# 4 semester

 1 The name of the discipline Theoretical mechanics (rigid body dynamics, analytical mechanics) 2 Course of study 2, «Mechanics and mathematical modeling» 3 Semester 4 4 Qty. credits 16 5 Name of Lecturer Cand. Phys.-math. Sciences, Associate Professor Vjarvilskaja Olga Nikolaevna 6 The objectives of the study discipline Study of the basic equations that describe various kinds of movements of solids. Understanding of basic principles of description golonomnyh and movements of nonholonomic mechanical systems and skills of problem solving. As a result of the study, the student should be able to: -apply the General theorem for Dynamics of compiling of equations of motion of solids; -apply the principle of possible moves to solve problems on equilibrium of mechanical systems; -be Lagrange’s equations of the second kind and use them to study the motion of mechanical systems; -be the equations of motion of nonholonomic systems; -explore small vibrations of mechanical systems with multiple degrees of freedom; 7 Prerequisites Dynamics and systems, point differential equations 8 Table of contents discipline The equations of motion free of solids and their particular cases for different types of movement of bodies. Body movement with one fixed point. First integrals. The theory of the gyroscope. Impact theory. Basic principles of analytical mechanics. The principle of possible moves and fundamentals of analytical statics. Lagrange’s equations of the second kind, the equations of motion of nonholonomic systems; Small vibrations of mechanical systems with multiple degrees of freedom; Variational principles of mechanics. 9 Recommended literature 1. Buchholz N.n. basic course of theoretical mechanics. h.i. – II. M. Nauka, 1972. 2. theoretical mechanics: ryg. allowance. Ed. D.g. Medvedev.-Minsk: BSU, 2006. 3. Targ S.m. short course of theoretical mechanics. M. Nauka, 1976. 4. Mescherski I.v. Compilation problems on theoretical mechanics. M. Nauka, 1982. 5. theoretical mechanics: Workshop: ryg. allowance. Ed. D.g. Medvedev.-Minsk: BSU, 2005. 6. Theoretical Mechanics: sat. tasks: ryg. allowance. Ed. D.g. Medvedev.-Minsk: BSU, 2008. 10 Methods of teaching Mixed: dialogovo-heuristic, problematic 11 Learning language Russian 12 Conditions (requirements), Current control The oral interview, testing, individual tasks 13 The current form certification Passed the examen