F3081 Theoretical mechanics

Faculty of Science
Autumn 2024
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
Mgr. Filip Hroch, Ph.D. (lecturer)
Mgr. Filip Hroch, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Filip Hroch, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Tue 14:00–15:50 F3,03015, Wed 13:00–13:50 F1 6/1014
Prerequisites
Both linear algebra, and calculus, are required on elemental level.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Students will learn of methods of theoretical mechanics for all: point mass particles, rigid body, elasticity and hydrodynamics.
Learning outcomes
This lecture is very first part of the curse of theoretical physics. Lagrangian and Hamiltonian mechanics, having origin in variational principle, are fundamental parts. They are supplemented by rigid body mechanics, theory of elasticity, and hydrodynamics.
Syllabus
  • A mass particle mechanics: Hamilton's principle, Lagrange's formulation of mechanics, The Kepler problem. Hamiltonian formulation of mechanics, conservation laws. Mechanics of a rigid body. Mechanics of continuum: Elasticity, Hydrodynamics, Dry water, Wet water.
Literature
  • BRDIČKA, Miroslav, Ladislav SAMEK and Bruno SOPKO. Mechanika kontinua. 3. rev. vyd. Praha: Academia, 2005, 799 s. ISBN 802001344X. URL info
  • HAND, Louis N. and Janet D. FINCH. Analytical mechanics. 1st pub. Cambridge: Cambridge University Press, 1998, xv, 575. ISBN 0521573270. info
  • LANDAU, Lev Davidovič and Jevgenij Michajlovič LIFŠIC. Úvod do teoretickej fyziky 1. Mechanika. Elektrodynamika. první. Bratislava: Alfa, 1980. info
  • FEYNMAN, Richard Phillips, Robert B. LEIGHTON and Matthew L. SANDS. The Feynman lectures on physics. 6th print. Reading, Massachusetts: Addison-Wesley Publishing Company, 1977, 1 sv. ISBN 0201021161. info
Teaching methods
Both lectures and exercises can be expected.
Assessment methods
Solutions of all examples for Hamitltonian and Lagrangian mechanics, included in homeworks, is required. The homeworks can be found in support materials. Two examaninations, in written form, can be expected: during middle and end of semester. Final score will merge results of the particular exams together with final oral examination.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2024/F3081