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Theoretical Mechanics II

Course developers

Prior knowledge

Fizi2021, Physics I

LauZ4008, Crop Production

Mate1029, Mathematics I

Mate1030, Mathematics II

Course abstract

The aim of the study course is to master the main basic principles of theoretical mechanics. Students learn the concept of force, methods of force calculation in dynamics, methods of calculation of kinematic parameters of motion under the influence of forces, develop logical thinking and form a knowledge base for the acquisition of technical disciplines.

Learning outcomes and their assessment

Knowledge - understands what is called force in dy¬namics, which is the force of inertia. Has an understanding of the calculation of inertial forces by the projection method and is able to compile equilibrium equations. Has an understanding of how to determine the moment of inertia and is able to count them. Understands how to determine the conditions of motion in mechanics and is able to calculate (tests).
Skills - is able to view in an abstract and analytical way the equilibrium state of various solid bodies and structures and the effect on other mechanical systems (independent works).

Competence - the ability to use the basic principles of theoretical mechanics in practical and scientific work, as well as in the invention and implementation of technically innovative processes (independent works).

Course Content(Calendar)

1. Basic laws of classical mechanics. The first basic problem of dynamics in the Cartesian coordinate system. (1h L; 1h PrD; 2h PstD)
2. The first basic problem of dynamics in the natural coordinate system. (1h L; 1h PrD; 4h PstD) (Test 1)
3. The second basic problem of dynamics. Differential equation of motion. (2h L; 2h PrD; 4h PstD) (Test 2)
4. Springs device body free oscillations. (1h L; 1h PrD; 2h PstD)
5. Forced oscillations without resistance. Dynamics factor. Resonance. (1h L; 1h PrD; 2h PstD)
6. Forced oscillations with resistance. (1h L; 1h PrD; 4h PstD)
7. Calculation of oscillation systems. Mechanical system center of gravity. Moments of mass inertia. (1h L; 1h PrD; 2h PstD)
8. Independent and variable work. (1h L; 1h PrD; 4h PstD)
9. Gravity and elastic force work. The work of the moment of force. (1h L; 1h PrD; 4h PstD)
10. Power. Kinetic energy of a solid body. (1h L; 1h PrD; 4h PstD) (Test 3)
11. The kinetic energy change theorem. (1h L; 1h PrD; 4h PstD)
12. Force of inertia. Dalamber principle for a material point. (1h L; 1h PrD; 4h PstD)
13. Dalamber principle for a mechanical system. (1h L; 1h PrD; 4h PstD) (Test 4)

14. Virtual transfers. (2h L; 2h PrD; 4h PstD)

Requirements for awarding credit points

The test is formed as follows:
• All (six) tests must be written successfully (at least 4 points);

• All correctly solved independent work is included.

Description of the organization and tasks of students’ independent work

Independent work - To solve theoretical tasks of mechanics, in-depth study of the topics covered in lectures and perform independent work:
1. Independent work: The 1st task of dynamics.
2. Independent work: The 2nd basic task of dynamics.
3. Independent work: Strength work and power.
4. Independent work: The Dalambere principle.

5. Independent work: Virtual transfers.

Criteria for Evaluating Learning Outcomes

Grade with a mark is made of the arithmetic mean of the sum of all marks (tests and practical works).

Compulsory reading

1. Kabus K. Mechanik und Festigkeitslehre. Aufgaben, 5. Auflage, Carl Hanser Verlag: München Wien, 2003. 276 S.
2. Muvdi B.B., Al-Khafaji A.W., McNabb J.W. Statics for engineers. Bradley University, 1996.
3. Müller W.H., Ferber F. Technische Mechanik für Ingenieure.

4. Aktualisierte Auflage, Fachbucherverlag Leipzig: Carl Hanser Verlag, 2011. 538 S.

Further reading

1. Kepe O.,Vība J. Teorētiskā mehānika. Rīga: Zvaigzne, 1982. 577 lpp.
2. Teorētiskā mehānika piemēros. O. Kepes redakcijā. Rīga: Zvaigzne, 1976. 647 lpp.

3. Teorētiskās mehānikas uzdevumi. O. Kepes un J. Vības red. 1. izd. Rīga: Zvaigzne, 1989. 479 lpp.

Periodicals and other sources

Vasile Szolga. Theoretical Mechanics. [tiešsaiste] [skatīts 13.12.2020.]. Pieejams: https://www.pdfdrive.com/theoretical-mechanics-d7357440.html

Notes

Compulsory study course for full-time and part-time students of the academic higher education Agricultural Engineering and professional higher education study program “Design and Production of Machinery”. 3rd study year.