Know:
• the basic provisions and laws of classical mechanics;
• general theorems and principles of mechanics;
• Modern trends in the development of research in the field of mechanics.
Be able to:
• carry out the analysis and perform a static calculation of machine building structures and machine elements;
• conduct kinematic analysis of rod mechanisms and reducers;
• to investigate the kinematic parameters of machine mechanisms;
• apply the provisions of theoretical mechanics in scientific research and to solve practical engineering problems.

Pre-requisites: mathematics, physics.

Corrections: resistance of materials, applied mechanics, the theory of mechanisms and machines, parts of machines.

Static Basic concepts of statics. Axiom static. The stitches and their reactions. The simplest static theorems. Find an ancestral system of convergent forces. Equilibrium of the system of convergence forces. Static and statically undetected tasks. Moment of force relative to the point. Moment of force relative to the axis. Varinion's theorem. A pair of forces. The equivalence of the pairs of forces on a plane and in space. Adding pairs of forces. Equilibrium of forces. An arbitrary system of forces. Counting the force to the given center (Lemo Puanso). Bringing an arbitrary system of forces to a given center (Puanso's theorem). The main vector and the main point. Conditions of equilibrium of an arbitrary system of forces. Flat power system. Spatial system of forces. System of parallel forces. Solid state equilibrium conditions. Fatigue phenomenon. Slip friction. The laws of slip friction (Coulomb's laws). Angle and friction cone. Rolling Friction. Friction of twisting. Flat rod farm. Methods for calculating flat trusses. System of two parallel forces. Adding parallel forces. Center of parallel forces. Center of body weight, volume, area, line. Methods of finding the center of gravity. The center of gravity of some homogeneous bodies. Kinematics. Introduction to kinematics. Basic concepts of kinematics. Kinematics point. Three ways to set a point movement. Specifying the point movement in a polar coordinate system. Vector way. A natural way of setting the point's motion. Tangible and normal acceleration. Coordinate way of setting motion. Classification of the motion of a point for its accelerations. Kinematics of a solid. Continuous motion of a solid body. Speed ??and acceleration of the points of the body with translational motion. Rotational motion of a rigid body. The meaning and properties of the rotational movement of the body. Kinematic characteristics of the rotational motion of the body. Uniform and even-moving rotational movement of the body. Kinematic characteristics of the points of the body in the rotational motion. Transmission of rotational movements. Transmission mechanisms. General case of solid state movement. Flat-sectional motion of a solid body. The meaning and indifference of the flat motion of the body. Speed ??point. Theorem on the velocity of points of a plane figure. Instant center of speed and ways to determine it. Speed ??points. Theorem on the acceleration of points of a plane figure. Consequences of the theorem. Instant center of accelerations and ways of finding it. Spherical motion of a rigid body. Kinematical characteristics of the body and its points in the spherical motion. Speed ??and speed point. Complex point movement. Speed ??and speed point. Coriolis acceleration point. Complex motion of a solid body. Adding translational, rotary motion of a solid. Static analogies in kinematics.

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2. Vekerik VI, Kuzio IV, Levchuk KG, Tsidilo IV Theoretical mechanics. Static: Tutorial. - Ivano-Frankivsk: IFNTUNG, 2014 - 324 p.
3. Pavlovsky M.A. Theoretical mechanics. Kyiv, 2002
4. IV Kuzio, T. -N.M.Vankovich, Ya.A. Zinko, I.P.Smereka. Theoretical mechanics. Kinematics. //Tutorial. - Lviv: Publishing House of the National University "Lviv Polytechnic", 2007 - 188 pp.
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10. Vekerik V.I., Ryzhkov L.M., Levchuk K.G. etc. Test tasks and short tasks on theoretical mechanics. Static I.Frankovsk Torch. 2006, 233 p.
11. Vekerik VI, Kuzio IV, Levchuk G.G., Liskanich MV, Tsidilo IV Test tasks on theoretical mechanics. Kinematics. Iv.Frankovsk View of IFNTUNG, 2011, 438 pp.
12. Vekerik VI, Kuzio IV, Smereka IP, Liskanich MV, Tsidilo IV, Dragan MS Collection of Olympiad Problems in Theoretical Mechanics. //Iv.Frankivsk, View "Fakel", 2003, 139 p.
13. IV Kuzio, MV Bogenko, Ya.A. Zinko, L.V.Djubik Statics. Laboratory Workshop on Theoretical Mechanics. Part 1 - Lviv: // Publishing house of the National University "Lviv Polytechnic", 2007-88 p.
14. IV Kuzio, MV Bogenko, Ya.A. Zin'ko, L.V.Djubik. Kinematics .. Laboratory Workshop on Theoretical Mechanics. Part II - Lviv: // Publishing house of the National University "Lviv Polytechnic", 2008. -88s.
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16. Bozhidarnik V.V., Velichko L.D. The method of solving and a collection of problems in theoretical mechanics. Lutsk. 2003. 496 с.
17. Apostol yuk OS, Vorobyov V.M., Ilchyshina D.I. etc. Theoretical mechanics. Collection of tasks. K.Technika 2007. 400 с.

- written reports on laboratory work, oral questioning. Multiplication and graphic work (30%); - final control (control measure - exam II semester): written-oral form (70%).

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.

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