Theoretical mechanicsSyllabus

Subject code

İF-3827y

Credits

6

Student workload

180

Semester

Spring semester

Academic year

2025-2026

Subject type

Mandatory

Form of education

Full-time

Language of instruction

Azerbaijani

In-class hours

a)45 saat-mühazire, b)15 saat-seminar

Out-of-class hours

a)80 saat-TSİ, b)40 saat-MRTSİ

The main goal of teaching the subject "theoretical mechanics" is to teach the fundamental concepts of mechanics, the laws of statics, kinematics and dynamics of mechanical systems to students studying at the bachelor's level in the specialty 050622 - "mechanical engineering". the content of the subject includes types of mechanical motion, basic laws of solid mechanics, differential equations of motion and methods of their practical solution. the subject is taught by structuring the following short content and main topics: 1. introduction and basic concepts; 2. statics; 3. kinematics; 4. dynamics.

• lecture
• seminar
• presentations

No learning outcomes have been added.

1. 1.
   Introduction to mechanics. subject, tasks and basic concepts of theoretical mechanics. axioms of statics.Lecture
2. 2.
   Communications. the principle of freedom from communications. geometric summation of the system of applied forces at one point and conditions of geometric balance.
3. 3.
   Theorem about three forces in equilibrium. projection of force on plane and axis. analytical summation of the system of applied forces at one point and conditions of analytical equilibrium.
4. 4.
   Theorem about three forces in equilibrium. projection of force on plane and axis. analytical summation of the system of applied forces at one point and conditions of analytical equilibrium.
5. 5.
   Theorem about three forces in equilibrium. projection of force on plane and axis. analytical summation of the system of applied forces at one point and conditions of analytical equilibrium.
6. 6.
   Theorem about three forces in equilibrium. projection of force on plane and axis. analytical summation of the system of applied forces at one point and conditions of analytical equilibrium.
7. 7.
   Addition of two parallel forces. couple of forces and their moment. theorems about couple forces. summation and equilibrium conditions of a system of double forces. the moment of the force about the point and the axis and the dependence between them.
8. 8.
   Bringing a system of arbitrary forces to a given center. equilibrium conditions of the system of arbitrary forces. equilibrium conditions of the system of plane and plane-parallel forces.
9. 9.
   Introduction to kinematics. methods of giving the movement of the point. velocity and acceleration vector of a point.
10. 10.
    Finding the speed and acceleration of a point when its motion is given by coordinate and natural method. regular and regularly varying motion of the point.
11. 11.
    The movement of a solid object. rotational motion of a solid body about a fixed axis. velocity and acceleration of points of an object rotating around a fixed axis.
12. 12.
    Plane motion of a solid body. the speed of the points of the flat figure. center of instantaneous velocities. the urgency of the points of the flat figure. center of instantaneous acceleration.
13. 13.
    Complex movement of the point. absolute speed and absolute momentum. coriolis emergency.
14. 14.
    Rotational motion of a solid body about a fixed point. dalamber-euler theorem. arbitrary motion of a rigid body.
15. 15.
    Rotational motion of a solid body about a fixed point. dalamber-euler theorem. arbitrary motion of a rigid body.
16. 16.
    Introduction to dynamics. the laws of dynamics. differential equations of motion of a material point. two main issues of dynamics.
17. 17.
    Theorem about the change of momentum and momentum of a material point.
18. 18.
    Work and strength of force. theorem about the change of kinetic energy of a material point.
19. 19.
    Concept of force field. motion of a material point in a potential force field. dalamber's principle for a material point. differential equations of relative motion of a material point.
20. 20.
    Koenig's theorem. theorem about the change of kinetic energy of mns. dalamber principle for mns.
21. 21.
    Moments of inertia of a solid body. dependence between moments of inertia with respect to parallel axes. differential equation of motion of a rigid body rotating about a fixed axis. theorem about the change of kinetic energy of a body rotating around a fixed axis.
22. 22.
    Small oscillations of the mechanical system. free, fading and forced dances.
23. 23.
    Differential equations of rotational motion of a solid body about a fixed point. gyroscope theory. simple gyroscopic phenomena.
24. 24.
    Fundamentals of analytical mechanics. the principle of possible displacements. general equation of dynamics.
25. 25.
    Generalized coordinates of the system. lagrange's equations of the 2nd kind.
26. 26.
    Shock theory. straight and oblique impact of a sphere on a stationary ideal surface. a straight center shot of two spheres. theorem about the change of momentum of a material point and a mechanical system during impact.Lecture

1. Bibliography and electronic resources: basic literature 1. gadyrov n.b. theoretical mechanics course, baku, 1997 2. mammadov h.q. theoretical mechanics, baku, 1965. 1966 3. tarq s.m. short course of theoretical mechanics, baku, 1983 4. meshchersky i.v. problems of theoretical mechanics, baku, 1984 additional literature 5. bakhshali v.i. applied mechanics: theoretical mechanics and resistance of materials, baku, "elm", 2017, 452p. 6. nasibov n.a., shayev z.sh. lectures on theoretical mechanics. baku, 2013 7. d. gross et al. engineering mechanics 1, statics and dynamics, springer verlag, new york, 2011, 359 pp. 8. ferdinand p. beer, e. russell jr. johnston etc. vector mechanics for engineers: statics and dynamics, 12th edition, new york, mcgraw-hill education, 2016 9. j.l. merriam, l.g. craig. (2012). engineering mechanics. statics. 7th edition, john wiley & sons, inc. http://www.wiley.com/go/permissions