Classical mechanics

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Classical mechanics

Code: 296774
ECTS: 5.0
Lecturers in charge: dr. sc. , prof.
Lecturers: Lectures:
dr. sc. , prof.
Take exam: Studomat
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES:
The main goal of the Classical mechanics is the introduction of fundamental laws and methods of classical mechanics, further development of acquired mathematical skills and their applications to selected physical problems, and the preparation of students for more advanced courses in theoretical physics.

COURSE DESCRIPTION AND SYLLABUS:
1. Basic concepts of classical mechanics (Newton's determinism, Galilean invariance, the laws of conservation of momentum and angular momentum, concept of work, conservative systems, kinetic and potential energy, law of conservation of energy)
2.-3. The Newton equation for body motion in 1D potential (solving the equation of motion, method of separation of variables, body motion in the absence of resistance, example: harmonic oscillator, body motion in a medium with resistance, example: resistance in the gravitational field of the Earth)
4.-6. Kepler's two body problem (formulation of the two body problem, center of mass, reduced mass, speed and acceleration of the reduced mass in the spherical coordinate system, constants of motion, solutions to Newton's equations for the reduced mass in the polar and Cartesian coordinate systems, Kepler's laws, Newton's law of gravity)
7.-8. Rigid body kinematics (kinetic energy and tensor inertia for an arbitrary rigid body, Steiner's theorem, orthogonal transformations, the principal axes of an arbitrary rigid body, Euler's equations of motion of a rigid body)
9: Non-inertial systems (velocity and acceleration in non-inertial systems, body motion in the gravitational field of the rotating Earth, Foucault's Pendulum)
10.-12. Lagrange's formulation of classical mechanics (Euler-Lagrange equations, generalized coordinates and generalized impulses, example: body motion in a central force field, small oscillations and examples of small oscillations)
13.-15. Hamilton's formulation of classical mechanics (derivation of canonical equations, example: coupled harmonic oscillators, phase space, phase portrait, example: mathematical pendulum, old quantum theory, Bohr's principle)
Literature:
  1. Klasična mehanika 1 i Klasična mehanika 2, skripta, T. Nikšić.
  2. Classical Mechanics, H. Goldstein, C. P. Poole, J. L. Safko, Addison-Wesley, 2001.
Prerequisit for:
Enrollment :
Passed : Fundamentals of physics 2
Attended : Mathematical analysis 2

Examination :
Passed : Mathematical analysis 2
4. semester
Mandatory course - Regular study - Mathematics and Physics Education
Consultations schedule:
  • For consultation hours, please contact the course lecturers.

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