Course: Mechanics II (Kinematics)

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Course title Mechanics II (Kinematics)
Course code KMP/KIN
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
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.
  • Petríková Iva, doc. Ing. Ph.D.
  • Sivčák Michal, Ing. Ph.D.
  • Cirkl David, doc. Ing. Ph.D.
Course content
1. Introduction to the Kinematics. Particle motion on a plane. Trajectory of motion. Velocity and acceleration of a particle 2. Planar motion of a particle. Rectilinear motion. Harmonic motion. Plane curvilinear motion. 3. Vector approach. Radius vector. Rectangular and curvilinear coordinates in space. 4. Natural coordinates. Cylindrical coordinates. Velocities and acceleration. 5. Spherical coordinates. Dependent relative motion. 6. Kinematics of a rigid body. Translational and rotational motion. Angular velocity and angular acceleration as vectors. 7. Instantaneous center of velocity. Moving and fixed centrodes. Center of acceleration. 8. General plane motion (GPM). Velocity and acceleration of points of a rigid body. Vectors method in the Kinematics of planar motion. 9. Composite planar motion of a point. Composite motion of a point in 3D space. Screw motion of rigid body. Spherical motion. 10. Kinematics of mechanisms. Kinematic pairs and chains. Number of DOF. 11. Four link mechanisms. Cams. Transmission functions. 12. Analytical solution of mechanisms. Vectors method. Matrix method. 13. Gears. Constant velocity ratio. Gear trains. Planetary gear trains. 14. Other mechanisms.

Learning activities and teaching methods
Learning outcomes
Kinematics is a branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces and weights that caused the motion. Kinematics deals with kinematics of particles, kinematics of rigid bodies and kinematics constraints and mechanisms.


Assessment methods and criteria
Recommended literature
  • BRADSKÝ Zdeněk, Václav JÁČ a Rudolf VRZALA. Mechanika II. Kinematika. Liberec, 2001. ISBN 80-7083-478-1.
  • LEDERER, P. Kinematika. Praha, 2000. ISBN 80-7083-478-1.
  • LEDERER Pavel, Vladimír STEJSKAL, Jiří BŘEZINA a J. PROKÝŠEK. Sbírka příkladů z Kinematiky. Praha, 2003. ISBN 80-01-02148-3.
  • VALÁŠEK Michal, Václav BAUMA a Z. ŠIKA. Mechanika B. Praha, 2006. ISBN 80-01-02919-0.
  • VALÁŠEK Michal, Vladimír STEJSKAL a BŘEZINA J. Mechanika A. Praha, 2007. ISBN 978-80-01-02890-2.

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