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PřF:F3400 Elem. concepts of class. mech. - Course Information

## F3400 Elementary concepts and principles of classical mechanics 1

**Faculty of Science**

Autumn 2019

**Extent and Intensity**- 1/1/0. 2 credit(s). Type of Completion: z (credit).
**Teacher(s)**- prof. RNDr. Martin Černohorský, CSc. (lecturer)

prof. RNDr. Martin Černohorský, CSc. (seminar tutor) **Guaranteed by**- prof. RNDr. Martin Černohorský, CSc.

Department of Theoretical Physics and Astrophysics - Physics Section - Faculty of Science

Contact Person: prof. RNDr. Martin Černohorský, CSc.

Supplier department: Department of Theoretical Physics and Astrophysics - Physics Section - Faculty of Science **Timetable**- Mon 18:00–18:50 Fs1,01017
- Timetable of Seminar Groups:

**Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- Physics (programme PřF, M-FY)

**Course objectives**- The aim of the course is (1) good understanding of the methodology of building up physical concepts, (2) to apply it to the concepts of Newtonian mechanics, (3) deduction of its laws from the Axioms.

Much attention is paid to thinkable misconceptions and to possible misinterpretations of Newton's laws.

Historical notes and actual remarks are organic parts of the course. **Syllabus**- 1. Examples of (1) incorrectly using terms, (2) misconceptions, (3) various misinterpretations of relations and laws: Newton's laws – Force – Free fall – The first law of thermodynamics.
- 2. Interaction laws. Galileo, Hooke, Newton, Coulomb, Archimedes. Stokes, Lorenz. Superposition principle.
- 3. Building up the concept 'force'. The second axiom. Definition vs. Natural law.
- 4. Mass. Primary concepts. Defined concepts. Building up the concepts 'inertial mass', 'gravitational mass', their otherness and their equivalence.
- 5. Time integration and trajectory integration of the second axiom. Change of linear momentum. Impulse of a net force. Change of kinetic energy. The work of the force. Two-particle systems. Additivity of kinetic energy. Configuration characteristic of the system. Potential energy of the system. Additivity of potential energies.
- 6. The law of conservation of mechanical energy. Principle of conservation of energy.
- 7. Transformation of static and kinetic state characteristics. Coordinate systems. Inertial system. Basic configuration of the system. 'Arbitrarity' of values of kinetic and potential energy.
- 8. Physical equivalence of gravitational field and accelerated coordination system. 'Fictive' forces.
- 9. Multiparticle system. System and its surroundings. Internal and external interactions. Center of mass. Mass center. Linear momentum, angular momentum, innate angular momentum. Kinetic energy. Innate kinetic energy. Virial.
- 10. Theorems about linear momentum and angular momentum. Conservation laws of linear momentum and angular momentum.
- 11. Structure of Newtonian mechanics.
- 12. Einstein's deduction of the relationship energy–mass (1905).
- LITERATURE
- The needed background is given in student's acquaintance with any secondary school and university physics textbook used by him/her.
- During the classes the student obtains printed aids: (1) Facsimilia of selected pages from uneasily accessible literature. (2) Czech translation of the facsimilia if they are in Latin or in German. (3) Sheets to special topics.

**Literature**- HALLIDAY, David, Robert RESNICK and Jearl WALKER.
*Fyzika :vysokoškolská učebnice obecné fyziky*. Vyd. 1. Brno: VUTIUM, 2000. xxiv, 1198. ISBN 8171962147. info - Informace týkající se literatury jsou uvedeny na závěr Osnovy.
- Information concerning the literature is to be found at the end of the Syllabus,

- HALLIDAY, David, Robert RESNICK and Jearl WALKER.
**Teaching methods**- Lecture with discussions
**Assessment methods**- Type of classwork seminar (workshop) with lectures and discussions. Student's activities: Participation in discussions, short assigned oral presentations (10 minutes), written tests ad hoc.
**Language of instruction**- Czech
**Follow-Up Courses****Further comments (probably available only in Czech)**- Study Materials

The course can also be completed outside the examination period.

The course is taught annually.

- Enrolment Statistics (recent)

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