Course: Mechanics III (Dynamics)

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Course title Mechanics III (Dynamics)
Course code KMP/DYN
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
  • Škoda Jan, Ing. Ph.D.
  • Sivčák Michal, Ing. Ph.D.
  • Cirkl David, doc. Ing. Ph.D.
Course content
1. Basic concepts. Newton's laws. The 1st and 2nd basic problem of dynamics. Dynamics of the particle. Newton's equation of motion. D'Alembert's equation of motion. Coordinate systems. 2. The law of conservation of momentum. The theorem of the change of the momentum of a point. Law of conservation of the angular momentum of material point. Kinetic Energy and Work-Energy Theorem. Force field, potential force field and potential energy. Law of conservation of mechanical energy. 3. Dynamics of the mass points system. The motion equation for the system of the mass centre of the mass points. The theorem of the change of the momentum of the system of mass points. The theorem of the change of the angular momentum of the particles. Kinetic energy theorem of the system of mass points. The law of preserving kinetic energy in a system of particles. 4. Application of dynamic theorems. Dynamics of a mass point with a variable mass. A central collision of the particles. 5. Mass characteristics of the body. Moments of inertia. Inertia matrix. Moment of inertia to the general axis. 6. Quadratic moments when changing the coordinate system. Quadratic moments of symmetrical bodies. Central quadratic moments. Practical calculation of the quadratic moments. Mass characteristics of composite bodies. 7. Dynamics of the body. Motion equations of the linear motion of the body. Dynamics of the circular motion of the body. Newton's motion equations for the rotational body. D'Alembert's motion equations of the circular motion of the body. 8. Dynamics of rotation in 3D. The kinetic energy of the rotating body. Impact of rotating bodies. Balancing of rotating masses. 9. Dynamics of general planar motion. Newton's motion equations of general planar motion. D'Alembert's motion equations of general planar motion. The kinetic energy of general planar motion. 10. An internal dynamic force in the body. 11. Dynamics of multibody systems. Release method. Classification of the joints. 12. Reduction method, reduction to the rotary and sliding member. 13. Basics of oscillation. Springs and their shifting. Linear dumper. Linear free oscillation of the point. Subcritical, critical and supercritical damping. Undamped vibration. 14. Excited oscillation of the point. Kinematic excitation.

Learning activities and teaching methods
Learning outcomes
This subject deals with investigation of interactions between forces acting on physical objects (particles, systems of particles, bodies, systems of bodies) and their motion.


Assessment methods and criteria
Recommended literature
  • BRADSKÝ, Zdeněk a Rudolf VRZALA. Mechanika, Dynamika. Liberec, 1986.
  • BRADSKÝ, Zdeněk a Rudolf VRZALA. Mechanika, Příklady z dynamiky.
  • DRESIG, Hans, Franz HOLZWEIßIG, Wolf GROSSKOPF a Sven ESCHE. Dynamics of machinery: theory and applications. Berlin, 2010. ISBN 978-3-540-89939-6.
  • GOODMAN, Lawrence E. a William H. WARNER. Dynamics. Dover, 2001.
  • JULIŠ, Karel a Rudolf BREPTA. Mechanika. sv. 2., Dynamika. Praha, 1987.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester