Individual course details |
|
|
|
|
|
|
Study programme |
Physics |
|
|
Chosen research area (module) |
Theoretical
and Experimental Physics |
|
|
Nature and level of studies |
Bachelor
academic studies |
|
|
Name of the course |
Theoretical
Mechanics |
|
|
Professor (lectures) |
Suncica
Elezovic-Hadzic |
|
|
Professor/associate (examples/practical) |
Dragoljub
Gocanin |
|
|
Professor/associate (additional) |
|
|
|
ECTS |
7 |
Status
(required/elective) |
required |
|
|
Access requirements |
Mathematics
1B and 2B, Physical mechanics |
|
|
Aims of the course |
Introduction
to the basics of the contemporary theoretical physics. |
|
|
Learning outcomes |
Students
should acquire the fundamental concepts and formalisms of analytical and
continuum mechanics. In particular, they should learn Lagrange and Hamilton
formalism applied on discrete systems, as well as basic theoretical methods
used in continuum mechanics. |
|
|
Contents of the course |
|
|
Lectures |
1.
Basic concepts of classical nonrelativistic systems. Fundamental theorems of
classical mechanics and corresponding laws of conservation. 2. Motion with
constraints. D'Alembert-Lagrange principle. 3. Lagrange's equations. 4.
Systems with one degree of freedom. 5. Small oscillations of conservative
systems with stationary constraints. Normal modes. 6. Central conservative
forces. Kepler problem. 7. The two-body problem. 8. Scattering
cross-sections. Rutherford scattering. 9. Rigid body kinematics. Kinetic
energy, angular momentum and tensor of inertia. Coriolis theorem and Euler
equations for the rigid body. Analytical method for the rigid body dynamics.
10. Hamilton's equations. Symmetry and conservation laws. 11. Hamilton's
principle. 12. Canonical transformations. 13. Continuum hypothesis, Eulerian
and Lagrangian description of motion, material derivative. Strain rate tensor and vorticity vector.
14. Body and surface forces, stress vector and stress tensor. Continuity
equation. Fundamental equation of continuous matter motion. 15. Ideal fluids.
Navier-Stokes fluids. Elastic body. |
|
|
Examples/ practical classes |
Examples
are given during the lectures and problems are solved during practical
classes. |
|
|
Recommended books |
|
|
1 |
Dj.
Musicki, Uvod u teorijsku fiziku I (Teorijska mehanika), Naucna knjiga,
Beograd, 1980 |
|
|
2 |
B.
Milic, Kurs klasicne teorijske fizike, prvi deo, Njutnova mehanika,
Studentski trg, Beograd |
|
|
3 |
S.
Elezovic-Hadzic, Beleske za predavanja iz Teorijske mehanike sa resenim
zadacima (ebook) |
|
|
4 |
T.W.
Kibble and F.H.Berkshire, Classical mechanics, Addison Wesley Longman Limited
1996 |
|
|
Number of classes (weekly) |
|
|
Lectures |
Examples&practicals |
|
Student
project |
Additional |
|
|
4 |
3 |
|
|
|
|
|
Teaching and learning methods |
Lectures,
practical classes, homeworks, consultations |
|
|
Assessment (maximal 100) |
|
|
assesed coursework |
mark |
examination |
mark |
|
|
coursework |
|
written
examination |
13 |
|
|
practicals |
|
oral
examination |
50 |
|
|
papers |
22 |
|
|
|
|
homework |
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|