Mechanical Systems in Sustainable Mobility (FSI-VUM)

The course aims to introduce students to the basic properties of mechanical systems, the calculation of force, and moment loading effects.

Students will gain basic knowledge of mechanical systems. They will become familiar with the methods of formulating equations of motion and will be able to predict the force and moment reactions resulting from the motion of mechanical cleaners, or design values of input quantities to ensure the desired dynamics of motion.

In this course, the students will be introduced to the fundamentals of mechanics. Attention will be given to particular areas, starting with static analysis issues, especially static equilibrium and force equivalence, and then the fundamentals of kinematics and dynamics. The course will introduce the basic methods of formulation of equations of motion and explain methods of calculating kinematic and force characteristics.

Conditions for obtaining credits: Active participation in exercises, achieving a minimum of 10 points out of 20 possible. The point gained from exercises is part of the final subject classification. Exam: The exam is divided into two parts. The first part consists of a cross-sectional test, from which a maximum of 30 points can be obtained. The second part involves solving typical tasks from the profiling areas of the subject. A maximum of 50 points can be obtained from this part. The specific format of the exam, types, number of examples or questions, and assessment details will be provided by the lecturer during the semester. The final evaluation is determined by the sum of the points gained from exercises and the exam according to ECTS. To successfully complete the subject, it is necessary to obtain at least 50 points.

• Kinematics of the particle, rectilinear and curvilinear motion, and harmonics motion.


• Basic definitions, force, moment of a force about a point, and about an axis.


• Static equilibrium, statically equivalent systems


• Dynamics of a mass point, electromechanical analogy of systems.


• Dynamics of a mass points system. Center of gravity of bodies.


• Kinematics of translational and rotational motion of a rigid body, kinematics of general planar motion of a body.


• Analytical analysis of planar mechanisms, kinematics of general plane motion of a body.


• Equations of motion of a rigid body in translational, and rotational motion. Moments of inertia of bodies. Balancing of rotors.


• Coexistent rotary motion, spherical motion


• Dynamics of general plane motion and spherical motion of a body. Gyroscopic moment.


• The dynamics of a multibody system.


• Dynamics of electromechanical systems.


• Solution of a multibody system with a drive unit.

• Moment of a force about a point, and about an axis


• Force and moment resultant, substituting the force system with one force


• Kinematics of a particle, calculating trajectory, velocity and acceleration, rectilinear and circular motion,


• Dynamics of a mass point and a system of mass points. Determining the center of gravity.


• Kinematics of a planar mechanism


• Dynamics of bodies. Equations of motion.


• Moments of inertia. Dynamics of rotational and general plane motion of a body.


• Kinematics of the general plane motion of mechanisms.


• Solving motions of multibody systems using the vector method, and matrix method


• Dynamics of multibody systems with actuators.


• Solving of electromechanical systems

Hibbeler R.C.: Engineering Mechanics-Statics and Dynamics, London 1995

Fowler C. Engineering Mechanics, Ny Research Pr, 2020.