6 semester

1

The name of the discipline

Theoretical mechanics (analytical mechanics and rigid body dynamics)

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Course of study specialty

3, specialty

3

Semester

6

4

Qty. credits

5

Name of Lecturer

Cand. Phys.-math. Sciences, Associate Professor

Savchuk Vladimir Petrovich

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The objectives of the study discipline

Understanding of basic principles of description golonomnyh and movements of nonholonomic mechanical systems and skills of problem solving.

Study of the basic equations that describe various kinds of movements of solids.

As a result of the study, the student should be able to:

• 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;
• apply the General theorem for Dynamics of compiling of equations of motion of solids;

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Prerequisites

Dynamics of point systems and differential equations.

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Table of contents discipline

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.

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.

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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. I.v. Mescherski Compilation problems on theoretical mechanics. M. Nauka, 1982.
4. theoretical mechanics: Workshop: ryg. allowance. Ed. D.g. Medvedev.-Minsk: BSU, 2005.
5. Theoretical Mechanics: sat. tasks: ryg. allowance. Ed. D.g. Medvedev.-Minsk: BSU, 2008.

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Methods of teaching

Mixed: dialogovo-heuristic, problematic

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Learning language

Russian

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Conditions (requirements), Current control

The oral interview, testing, individual tasks

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The current form certification

Passed the examen