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Course info
KEF / TMN
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Course description
Department/Unit / Abbreviation
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KEF
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TMN
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Academic Year
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2024/2025
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Academic Year
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2024/2025
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Title
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Fundamentals of Mechanics
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Přednáška
3
[Hours/Week]
Exercise
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech, English
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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not determined
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech, English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
A|B|C|D|E|F |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
Yes
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Fundamental theoretical course |
Yes
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Evaluation scale |
A|B|C|D|E|F |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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Introduction to the study of theoretical physics, Lagrange formalism of mechanics, Mechanics of a solid body, Hamilton formalism of mechanics. Introduction to mechanics of continuum.
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Requirements on student
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- 50 % class attendance in the exercise classes with at least one active performance of task solving
- Handing in of all the solved homework tasks
- Passing the final test from the exercises from the theoretical mechanics
- Passing the two test during the semester
- Passing the oral examination in the case of low number of points from the tests
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Content
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- Introduction to the study of theoretical physics, mechanics of a particles and particle system, components of velocity and acceleration, velocity and acceleration in curvilinear coordinates, dynamics of a particle, Newton Laws, particular problem from dynamics of a particle, system of particles, d'Alembert principle and equations of motion of a particle system, centre of mass of a system, classical integrals of motion, motion of a particle with variable mass
- Lagrange formalism of mechanics, systems subjected to bonds, classification of bonds, principle of virtual work and it applications, d'Alembert-Lagrange principle, Lagrange equations of the first kind and the second kind and their solutions for some particular situations, small oscillations of mechanical systems
- Mechanics of a solid body, basic terms from kinematics of a solid body, translation and rotation of a solid body, tensor of inertia and moments of inertia, Euler equations, motion of flywheels, motions in rotating systems
- Hamilton formalism of mechanics, Hamilton principle, Hamilton canonic equations, canonic transformations and their invariants, laws of conservation
- Introduction to mechanics of continuum, tensor of stress, volume and surface forces, vector of stress, equation of equilibrium of continuum, equations of motion of continuum, vector of displacement and tensor of deformation, generalized Hook Law, equation of equilibrium of an isotropic elastic body, equations of motion of an isotropic elastic body, oscillations and waves in an elastic body, vibration of elastic bodies, equation of a string
- Basics of mechanics of fluids, statics of fluids, equations of motion of an ideal fluid and their integrals, irrotational (steady) flow, motion of a viscous fluid, Navier-Stokes equation and theory of similarity
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Activities
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Fields of study
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Guarantors and lecturers
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Guarantors:
Mgr. Lukáš Richterek, Ph.D. (100%),
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Lecturer:
Mgr. Lukáš Richterek, Ph.D. (100%),
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Tutorial lecturer:
Mgr. Lukáš Richterek, Ph.D. (100%),
Mgr. Aleš Stejskal, Ph.D. (100%),
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Seminar lecturer:
Mgr. Lukáš Richterek, Ph.D. (100%),
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Literature
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Basic:
Tillich J., Richterek L. Klasická mechanika. 2007.
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Further literature:
Elsgolc, L. E. Variační počet. SNTL, Praha, 1965.
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Recommended:
Goldstein, H. Classical Mechanics. Addison-Wesley Publishing Company, Inc., 1980.
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Recommended:
Greiner, W., & Bromley, D. A. Classical mechanics: point particles and relativity. New York: Springer, 2004. ISBN 0-387-95586-0.
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Recommended:
Greiner, W. et al. Classical mechanics. System of particles and Hamiltonoan mechanics. New York: Springer, 2003. ISBN 0-387-95128-8.
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Recommended:
Jex, I., Štoll, I., Tolar, J. Klasická teoretická fyzika. Praha: Karolinum, 2017. ISBN 978-80-246-3545-3.
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Recommended:
Brdička, M., Samek L., Sopko B. Mechanika kontinua. Academia, Praha, 2000.
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Recommended:
Horský J., Novotný J., Štefaník M. Mechanika ve fyzice. Academia, Praha, 2001.
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Recommended:
Brdička, M., Hladík, A. Teoretická mechanika. Academia, Praha, 1987.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Homework for Teaching
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20
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Attendace
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13
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Total
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33
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Prerequisites - other information about course preconditions |
Knowledge at the level of basic undergraduate course of physics. |
Competences acquired |
Knowledge Define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems. |
Teaching methods |
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Assessment methods |
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