Mechanics and Special Relativity 1100-1INZ22
1. Description of movement in inertial and non-inertial frames
2. Newton theory of dynamics of a system of material points
3. Concept of work, kinetic and potential energy
4. Conservation laws
5. Reaction forces, Lagrange equations of the first order
6. Lagrange equations of the second order
7. Dynamics of rigid bodies
8. Hamilton approach to mechanics
9. Applications of Newton, Lagrange, and Hamilton formalisms to various mechanical problems (two body problem, harmonic oscillator, solitons)
10. Basics of non-linear dynamics and chaos
11. Basics of the special theory of relativity
12. Kinematics and dynamics of relativistic systems
13. Foundations of the elasticity theory and mechanics of liquids
Recommendations for students wanted to attend this lecture -- basic knowledge the calculus and algebra
Estimated time of work:
- lecture 60h
- classes 45h
- preparation to lecture 15h
- preparation to classes 15h
- homework 45h
- preparation to written tests 30h
- preparation to written exam 30h
This instruction is not a strict translation of the polish version.
Description by Jacek A. Majewski, December 2009
updated by J. Kalinowski, November 2011.
Type of course
After the lecture the student
1. understands the concepts of relativity, forces, constraints, forces of reactions, models of physical bodies
2. knows the Lagrange and Hamilton formalisms
3. understands the concepts of space and time and relativistic dynamics
1. can characterise mechanical systems
2. knows the equations of motion and how to solve them
1. learns methods of theoretical physics
2. gets acquainted with the evolution of physical theories
3. is well prepared to undertake studies in more advanced areas of physics
A student must obtain 50% of all the points assigned to midterm exams, homework problems, and lecture tests. If less than 50% of all these points is obtained, a student must obtain at least 50% of points during the written exam, and then take the oral exam. It is allowed to be absent during 3 exercise sessions.
1. John R. Taylor, Classical Mechanics, University Science Books (2005)
2. Oliver Davis Johns, Analytical Mechanics for Relativity and Quantum Mechanics, Oxford University Press, Oxford, 2005.
3. J. V. Jose, E. J. Saletan, Classical Dynamics, Cambridge University Press, 1998.
4. R. P. Feynman, R. B. Leighton, M. Sands, Feynman Lecture on Physics, Vol. I, 2nd edition, Addison Wesley, 2005.
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
- Nuclear Power Engineering and Nuclear Chemistry, full time 3 year programme leading to B. Sc. Degree
- Nanostructure Engineering, first cycle programme
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: