Objects under consideration and their basic movements in 3D. System of forces and torques. Motion of a point. Global and local properties of a rigid body in motion. Matrix approach in motion analysis. The Euler theorem. Composition of motions, the Coriolis theorem. The Newton axioms. Momentum, angular momentum about a point, kinetic energy of a material point and theorems on their changes. Dynamics of a mechanical system. The Newton-Euler equations. The König theorem. Spatial motion of a rigid body. Equivalent systems of forces. The Poisson theorem. State of equilibrium conditions for one body and systems. Collision mechanics: the distributional model of impact and approximative models, theories of the Hertz type. The Newton-Euler equations and energy dissipation related to impacts. The Painleve paradox and a linear complementary problem. Motions of a rigid body with standard linear viscoelastic layer in the presence of dry friction, the corresponding Cauchy problems given in forms of integro-differential inclusions and the influence of the restrictions imposed by the second law of thermodynamics on the energy dissipation of during the motion. Besides examples of academic type the usage of mechanics is shown on several engineering examples: a crankshaft; a ball bearing; a Cardan joint; a rolling disc; free, forced and damped oscillations, a vibration absorber, a dynamic balancing machine, motions of ships, vehicles and robots of unicycle type; loading of beams; stability of relative equilibrium states.