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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Theoretical Physics 1

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Code Completion Credits Range Language
02TEF1 Z,ZK 4 2+2 Czech
Lecturer:
Igor Jex (guarantor)
Tutor:
Jiří Hrivnák, Jaroslav Novotný, Petr Novotný, Filip Petrásek, Jan Vysoký
Supervisor:
Department of Physics
Synopsis:

The course is an introduction to analytical mechanics. The students acquire knowledge of the basic concepts of the Lagrange formalism. The efficiency of this method is illustrated on elementary examples like the two-body problem, the motion of a system of constrained mass points, and of a rigid body. Advanced parts of the course cover differential and integral principles of mechanics. The subject is the first part of the course of classical theoretical physics (02TEF1, 02TEF2).

Requirements:

02MECH, 02ELMA

Syllabus of lectures:

1. Mathematical formalism

2. Newtonian mechanics

3. The Lagrange function, constraints, generalised coordinates

4. Lagrange equations

5. Symmetries of the Lagrange function and conservation laws

6. Virial theorem

7. The two-body problem

8. Oscillations of systems of mass points

9. Dynamics of rigid bodies, Euler's equations

10. Static equilibrium, the principle of virtual displacements

11. Differential principles (d´Alembert, Jourdain, Gauss, Hertz)

12 .Integral principles of Hamilton, Maupertuis and Jacobi

Syllabus of tutorials:

Solving exercises on the following topics:

1.Mathematical formalism

2.Newtonian mechanics

3.Lagrange function, constraints, generalised coordinates

4. Lagrange equations

5.Symmetries of the Lagrange function and conservation laws

6.Virial theorem

7. The two-body problem

8. Oscillations of coupled systems

9 .Dynamics of rigid bodies, Euler's equations

10. Static equilibrium, the principle of virtual displacements

11. Differential principles (d´Alembert, Jourdain, Gauss, Hertz)

12. Integral principles of Hamilton, Maupertuis and Jacobi

Study Objective:

Knowledge:

Learn the basics of analytical mechanics. The subject belongs to the course of classical theoretical physics at FNSPE.

Skills:

Application of methods of theoretical physics to solve concrete examples

Study materials:

Key references:

[1] I. Štoll, J. Tolar, I. Jex, Classical Theoretical Physics, Karolinum, Prague 2017 (in Czech)

Recommended references:

[1] V. Trkal, Mechanics of Mass Points and Solid Bodies, ČSAV, Praha 1956 (in Czech)

[2] L.D. Landau, E.M. Lifšic, Teoretičeskaja fizika I, FIZMATGIZ, Moskva 2002 (in Russian)

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2019-10-18
For updated information see http://bilakniha.cvut.cz/en/predmet24688705.html