As a result of studying the discipline, the specialist should know the laws, theorems and principles of classical mechanics, the method of kinematic analysis of reducers, the simplest mechanisms, modern directions of development of scientific research in the field of nonlinear oscillation theory, equipment vibration protection, and the improvement of the comfort of vehicles.

The trained specialist must be able to apply the provisions of theoretical mechanics in scientific research and to solve practical engineering problems, to conduct analysis of transient and stationary processes of drive mechanisms of machines.

Previous disciplines: mathematics, physics, computer science.

Concomitant and following disciplines: resistance of materials, parts of machines.

Description of the discipline Lecture classes: Section III. Point dynamics and mechanical system. Introduction to Speech. Basic concepts and definitions. Laws of Galileo-Newton. Differential equations of motion of a material point. Two main tasks of the dynamics. Oscillating motion of the material point. Free oscillations of the material point. Differential equations and the law of free oscillations. Quenching fluctuations of the material point. Coefficient and decrement decreasing. Periodic motion of a point. Forced oscillations of the material point under the action of periodic perturbing force. Properties of forced oscillations. Amplitude-frequency characteristic. The phenomena of beating and resonance. Mechanical system. Geometry of masses System weight. Center of the masses of the mechanical system and its coordinates. Classification of forces acting on a mechanical system. General dynamics theorems. Number of movement of the material point and the mechanical system. Impulse of force. Theorem on the change in the number of motion of a point and system. The law of conservation of movement. Theorem on the motion of the center of mass of the system. The law of preservation of movement of the center of masses. The moment of the number of motion of a point relative to the center and the axis. Theorem on the change of the moment of the amount of motion of a material point. The kinetic moment of the mechanical system relative to the center and axis. Theorem on the change of kinetic moment. The law of kinetic moment conservation. Differential equations of rotation of a rigid body around a stationary axis. Theorem on the change of kinetic energy. Elemental work of power. Work force at the final movement. Work of gravity, elasticity. Power. The kinetic energy of the material point and the mechanical system. Calculation of the kinetic energy of a solid in various cases of its motion. Theorem on the change of kinetic energy of a material point and a mechanical system. Power field, potential force field. Potential energy. The law of conservation of mechanical energy. Dalmber's principle. Inertia force. Dalmber's principle for the material point and the mechanical system. The main vector and the main moment of the forces of inertia. The principle of possible moves. Classification of ligaments. Possible moves. The number of degrees of freedom of the system. Ideal links The principle of possible moves. General equation of dynamics. Practical training: Section III. Point dynamics and mechanical system. 1. Differential equations of motion of a point. The first point dynamics task. The second is the point dynamics task. 2. Vibrations of the material point. Free, fading and forced oscillations. 3. Theorem on the change in the amount of motion of a material point and a mechanical system. Theorem on the change of the moment of the amount of motion of the material point and the mechanical system. Theorem on the motion of the center of mass. 4. Theorem on the change of the kinetic energy of the material point and the mechanical system. 5. Dalmber's principle for the material point and the mechanical system. 6. Principle of possible moves.

Література
1. І. В.Кузьо, Т.-Н. М. Ванькович, Я. А. Зінько, М. В. Боженко. Теоретична механіка. Динаміка твердого тіла. Принципи механіки: Навч. посібник/. – Львів: Видавництво Національного університету «Львівська політехніка». 2009. - 132 с.
3. Смерека І. П., Кузьо І. В., Придиба В. Т., Зінько Я. А.Теоретична механіка. Навчальний посібник для студентів дистанційної форми навчання. Львів. 2004.
4. Смерека І.П., Барвінський А.Ф., Білоус Б.Д., Кузьо І.В., Зінько Я.А. Короткий довідник з теоретичної механіки. Навчальний посібник. Львів, 2001.
5. Божидарнік В.В.. Величко Л.Д. Методика розв’язування і збірник задач з теоретичної механіки. Луцьк. 2003.
6. І. В .Кузьо, Т.-Н. М. Ванькович, Я. А. Зінько. Теоретична механіка. Спеціальні розділи: Навч. посібник/. – Львів: Видавництво Національного університету «Львівська політехніка». 2011. - 110 с.
7. І. В. Кузьо, Т.-Н. М. Ванькович, Я. А. Зінько. Теоретична механіка. Динаміка. Кн. 1. Навчальний посібник. – Львів: «Растр-7», 2012. – 442 с.
8. І. В. Кузьо, Т.-Н. М. Ванькович, Я. А. Зінько.Т еоретична механіка. Динаміка. Кн. 2. Навчальний посібник. – Львів: «Растр-7», 2012. – 336 с.
9. Зінько Я. А. , Кузьо І. В. Збірник задач з теоретичної механіки. Ч. 1 . Статика. Львів: Видавництво Національного університету „Львівська політехніка”. 2015. – 85 с.
10. Кузьо І. В., Зінько Я. А., Ванькович Т.-Н. М. та ін. Теоретична механіка. Підручник для студентів Вищих навч. закл. Харків, Фоліо. 2017. 780 с.
11. Зінько Я. А., Кузьо І. В., Дзюбик Л. В. Збірник задач з теоретичної механіки. ч. ІІ. Кінематика: навч. посібник. Львів: Вид-во НУ «Львівська політехніка», 2017. – 92 с.

Reporting form is an exam
Current control: 30 points
Examination Control (written work): 60 points
Oral component: 10 points