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: 1. Section I. Static of a solid Axiom static. Mechanical bands and their reactions. Classification of forces; external and internal, given (active) and reactions of ligaments (passive). System of convergence forces. Purpose Equilibrium system of convergence forces. Geometric and analytic conditions for the equilibrium of the system of convergent forces. Moments of forces relative to the center and the axis. Algebraic determination of the moment of force relative to the center. Expression of the moment of force relative to the center through the square of the triangle. The moment of force relative to the center as a vector: the direction and the vector-momentum module. Moment of force relative to the axis: the definition, the rule of finding, cases of equality to zero. Dependence between the moments of force relative to the axis and the center lying on this axis. The theory of pairs of forces. The concept of a pair of forces. The main components of a pair of forces. Couple moment as vector. Adding pairs of forces. Equilibrium conditions of the system of pairs of forces. An arbitrary system of forces. The main vector and the main point. Geometric equilibrium conditions. Analytical finding of the principal vector and the momentum. Different systems of forces and analytical conditions of equilibrium of these systems of forces. Flat farm Definition of a flat farm. Statically defined and statically uncertain farms. Determination of the efforts in the rods of a flat farm by the method of cutting knots and the method of Ritter. Friction. Slip friction. Equilibrium in the presence of frictional forces. Friction coefficient. Angle and friction cone. Rolling Friction. Center of gravity. Reduction of the system of parallel forces to the ancestral. Center of parallel forces and its coordinates. Ways to determine the position of the center of gravity of the solid, flat shapes, lines. Section II. Kinematics. Introduction to kinematics. Space and time in classical mechanics. Relative mechanical motion. Reference frame Problems of kinematics. Kinematics point. Ways to determine the point movement. Speed Point Definition of velocity in vector, coordinate and natural ways of describing the motion of a point. Speed up the point. Determination of acceleration in vector, coordinate and natural ways of describing the motion of a point. Simple types of motion of a rigid body. Continuous motion of a solid body. Theorem on the speed and speed of points of a body with its translational motion. Rotation of the solid body around the stationary axis. Equation of rotational motion of a body. Angular velocity and angular expansion of points of a solid body with its rotational motion. Vector expression of linear point speed. Transmission of simple movements. Flat-surface (flat) motion of a rigid body. The motion of a flat figure in its plane. Decomposition of the motion of a flat figure on the translational along with the pole and rotating around the pole. Equation of motion of a flat figure. Theorem on the speed of points and its consequences. Mitt center of speed and ways of its determination. Determination of the velocities of points of a plane figure using the Mitt Center of Velocities. Speeding points of a flat figure. Practical training: Section I. Static of a solid. 1. Nails and their reactions. 2. A convergent system of forces. 3. An arbitrary flat system of forces. Equilibrium distributed load. 4. Calculation of flat trusses. 5. An arbitrary spatial system of forces. 6. Center of gravity. Section II Kinematics. 1. Kinematics point. Equation and trajectory of the point movement. Speed point. Speed up the point. 2. The rotational motion of a rigid body around a stationary axis. Transmission of rotations. 3. Flat motion of a solid body. Speed point of a flat figure.

Література
1. І.В. Кузьо, Т.-Н. М. Ванькович, Я. А. Зінько. Теоретична механіка. Статика. Кінематика. Навчальний посібник. – Львів: «Растр-7», 2010. - 324 с.
2. Смерека І. П., Кузьо І. В., Придиба В. Т., Зінько Я. А.Теоретична механіка. Навчальний посібник для студентів дистанційної форми навчання. Львів. 2004.
3. Смерека І.П., Барвінський А.Ф., Білоус Б.Д., Кузьо І.В., Зінько Я.А. Короткий довідник з теоретичної механіки. Навчальний посібник. Львів, 2001.
4. Божидарнік В.В.. Величко Л.Д. Методика розв’язування і збірник задач з теоретичної механіки. Луцьк. 2003.
5. Зінько Я. А. , Кузьо І. В. Збірник задач з теоретичної механіки. Ч. 1 . Статика. Львів: Видавництво Національного університету „Львівська політехніка”. 2015. – 85 с.
6. 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.
7. 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.

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