Examination topics in the discipline Mechanical engineering


  • Properties of a force couple.
  • Cases of reduction of the spatial force systems.
  • Equilibrium conditions of a force system.
  • Instant center of rotation and acceleration.
  • Velocity and acceleration of a point in complex motion.
  • The principles of mechanics used in the dynamics of the system of point particles.
  • Dynamic equations in translational, rotational, planar and spherical motion of a solid.
  • Kinetic energy of a solid in translational, rotational, planar and spherical motion.
  • Lagrange equations of the first and second kind.

Strength of materials

  • Stress-strain curve, the tensile properties of materials.
  • Generalized Hooke’s law for normal and shear strain components.
  • Components of stress tensor and strain tensor (special cases: plane stress, plane strain, spatial stress state, spatial strain state), definition of principal stresses.
  • Pure bending, internal moment and stress relations, differential equation for the elastic curve of a beam.
  • Cylindrical shafts in torsion – distribution of the shear stress, equations for maximum shear stress and angle of twist.
  • Material effort, strength theories, equivalent stress.
  • Stress concentration phenomenon: stress distribution in notched element,  stress concentration factor definition and variables it depends on.
  • Wöhler curve and its description: Basquin equation, concepts of limited fatigue strength and fatigue limit.

Construction and operation of machines:

  • Characteristics of belt drives and their application in machine design.
  • Problems of transmission shafts design and calculations.
  • Design of bolted joints working under static and varying load conditions.
  • Construction of bearing systems with application of rolling-element bearings.
  • Factors influencing the fatigue strength of machine elements.
  • Characteristics of contemporary permanent joints.
  • Strength conditions of statically loaded machine elements.
  • Clutches – selection criteria, basic calculations, examples.
  • Application and functions of lubricants in machine construction. Characteristics of seals used in machine construction.

Drive systems

  • Selection criteria of drive systems to various mechanical devices.
  • Construction, operation and modelling of electric, hydraulic and pneumatic drives.
  • Modern IT tools used to design machine parts and model their movement.


  • The properties of the sound and its sources.
  • Contemporary applications of acoustics.
  • Methods for conditioning of the acoustics of rooms.
  • The purpose of audio engineering.


  • The construction and modelling of robots.
  • Simple and inverse kinematics task. Statics and dynamics problems.
  • Control Systems in Robotics.
  • What is the accuracy and repeatability of the manipulator.
  • What are the Euler angels and what are the advantages of using them to describe the orientation of the effector of the robot.
  • What is the number of degrees of freedom of manipulator.
  • What are the holonomic constraints and whether the mobile robot can be a holonomic object.


  • Linear and nonlinear models of objects mechanical and electrical and technological processes.
  • Classical mechanic, fluid mechanics and thermodynamics problems.
  • Static and dynamic characteristics of dynamic objects (time and frequency domain).
  • Structural dynamics, partial differential equations usage for object modelling.
  • Eigenproblem of the multidimensional objects (mode shapes).