Kharkiv: KhPI, 2006. For distance learning students of all specialties . A short course in theoretical mechanics consists of lectures on the dynamics of the material point and the mechanical system, and also contains elements of analytical mechanics. Theoretical material complements examples of problem solving that contribute to self-study of the course. Introduction. Dynamics of the material point . The Laws of Galileo-Newton Dynamics . Differential equations of motion of the material point . Questions for self-control. The vibrational motion of the material point. Classification of forces acting on a fluctuating material point. Differential equations of rectilinear oscillations of the material point. Free oscillations in an environment without resistance. Free oscillations in the presence of viscous friction. Forced fluctuation . General case. Forced oscillations in the medium without resistance. Questions for self-control. Dynamics of the relative motion of the material point . Relative motion equations. The Principle of Relativity of Classical Mechanics . Conditions of relative rest. Gravity . Questions for self-control. Mechanical system. The Solid Body and Its Moments of Inertia . Mass and center of mass of mechanical system. External and internal forces . Moments of solid inertia. Moments of inertia of the body relative to parallel axes. Examples of determination of moments of inertia of homogeneous bodies. Questions for self-control. Theorems about the change in the amount of motion and about the movement of the center of mass of the mechanical system. General Dynamics Theorems. Mechanical motion measures and force measures. Quantity of movement of the material point and mechanical system. Impulse of force. Theorem of the change in the amount of motion of the material point. Theorem of the change in the amount of motion of a mechanical system. Euler's theorem . Theorem on the motion of the center of mass of a mechanical system. Questions for self-control. The Theory of Kinetic Moment Change . Kinetic moment of the material point and mechanical system. The theorem on the change of the kinetic moment of the material point. Theorem of change of kinetic moment of mechanical system. Differential equation of rotational motion of a solid . Questions for self-control. Theorem of kinetic energy change. Kinetic energy of the material point and mechanical system. The kinetic energy of a solid . Work force and its power. Work of some forces. The theorem on the change of the kinetic energy of the material point . Theorem of change of kinetic energy of mechanical system. Questions for self-control. Kinethostatics method. The force of inertia and the Dalumber principle for the material point. Dalumber principle for mechanical system. Kinetostatics equations for mechanical system. The main vector and the main moment of inertial forces. Bringing the inertial forces of solid points to the simplest view. Questions for self-control. Elements of Analytical Mechanics . Introduction. Relationships and their classification . Possible and virtual movements . Number of degrees of freedom of the system and generalized coordinates. The main task of dynamics of nonfree system. The Perfect Relationship . Generalized forces. General equation of dynamics. Lagrange equations of the second kind . The principle of virtual displacement. Questions for self-control. Recommended Literature .