F3400 Elementary concepts and principles of classical mechanics 1

Faculty of Science
Autumn 2008
Extent and Intensity
1/1. 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. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Martin Černohorský, CSc.
Timetable
Tue 10:00–10:50 Fs1 6/1017, Tue 11:00–11:50 Fs1 6/1017
Prerequisites
Completion of the subject F1030 Mechanics and molecular physics or corresponding knowledge.
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
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) uncorrectly 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. Impuls 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. Potencial 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. 'Arbitrality' of values of kinetic and potential energy.
  • 8. Physical equivalence of gravitational field and accelerated coordination system. 'Fictiv' forces.
  • 9. Multiparticle system. System and its sourroundings. 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,
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)
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2008, recent)
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