The intention of this course is to provide a meaningful experience and breadth of knowledge of mechanics as a science of forces, motion and deformation of the bodies subjected to forces. This course, addresses the student to understand the basic notions, terminology and application of these notions in different problem posing and problem solving tasks, by means of recognizing, identifying and formulating appropriate models and by choosing appropriate either numerical or analytical solving procedures. In doing so an introduction to principles of engineering argumentation and decision making is also present.

At the end of the course students will be expected to have ability: to apply this new knowledge in engineering disciplines involving non-smooth mechanics; to recognize various motion of the real life systems, effect of different forces, to analyze friction and dissipation of energy, to use computer tools in prediction of various motions by means of appropriate models; to communicate with other engineers within a team work; This course prepares the student for further learning as well as for practice, hard work, creative thinking, further development of skills in design of new solutions of engineering problems.

This course covers the following topics. States, state properties, changes of states and equations relating these changes. Object under considerations and their basis movements. Force, moment of a force with respect to a point (an axis), torque. Systems of forces and torques. Description of motion for a point and rigid body. Global and local properties. Motion analysis in terms of matrices. The Euler theorem. The theorem of Rival. The theorem of Coriolis. Axioms of dynamics. Linear momentum, angular momentum for a chosen point, kinetic energy and the theorems of their changes. Work, power and energy of a mechanical system. Newton-Euler axioms. The Kenning theorem. Spatial motion of a rigid body. State of equilibrium and the Poisson theorem. Introduction to strength of materials. Stress, strain. Linear elements: extension, compression, shear, torsion, flexion and buckling. Constitutive equations: geometrical and material properties. Selected examples of how does the presented theory works in practice: crankshaft, ball bearings, universal joint, rolling disc, balancing etc. Dry friction models and impacts are also included.

Stress is laid on deduction. Careful selection of the examples which show how does the presented theory works in practice, and how things were made and how things should be used, as well as why something can be done in the proposed way and can not be done otherwise, why some procedures are superior with respect to others. After the lectures, auditory exercises, and demonstration of computer tools, homeworks, as a check of understanding and usage of the introduced notions are required. The examination ends with a final talk on the introduced notions and tools.