The textbook corresponds to the content of the federal discipline "Theoretical Mechanics" of state educational standards in the areas of training and specialties in the field of technology and technology. Contains tasks of various difficulty levels in all sections of the discipline "Theoretical Mechanics"; a significant number of tasks reflecting the development of modern technology have been posted; there are sections devoted to material systems with non-holonomic connections, as well as the mechanics of systems in the presence of forces and moments of a random nature.