# 337-0015/02 – Basics of Mechanics (ZAKME)

 Gurantor department Department of Mechanics Credits 0 Subject guarantor doc. Ing. Jiří Podešva, Ph.D. Subject version guarantor doc. Ing. Jiří Podešva, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester winter Study language Czech Year of introduction 1990/1991 Year of cancellation 2007/2008 Intended for the faculties FMT Intended for study types Master
Instruction secured by
FER03 Ing. Petr Ferfecki, Ph.D.
HOS025 Ing. Dagmar Hošková
KAR72 Ing. Tomáš Karásek, Ph.D.
LUK055 Ing. Tomáš Lukas
POD10 doc. Ing. Jiří Podešva, Ph.D.
POR05 doc. Ing. Zdeněk Poruba, Ph.D.
SIK46 Ing. Roman Sikora, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 18+0

### Summary

The subject acquaints the students with the basic terms, principles and approaches of the mechanics of rigid bodies. It contains two parts - statics and dynamics. Statics acquaints the students with the term force. They learn to carry out the operations with forces. They acquaint with two basic effects of the force - the force and the moment of the force. They learn to solve the problem of the resultant force and the problem of the force equilibrium. They master the basic approaches in investigation of the force application on the rigid bodies via the free-body diagram. They acquaint with the internal forces, stresses the specific class of bodies - beams. They learn to solve the joint forces, transmitted between single bodies, composing the rigid body structure. They acquaint with the problems of friction. They learn to investigate the position of the centre of gravity. In dynamics the students acquaint with the basic quantities of the motion and the relations among them. They acquaint with the term degree of freedom as the basic unit, quantifying the motion of arbitrary subject. They learn to investigate the motion of the particle, the body and the mechanism. They acquaint with the basic relationship between the motion and the forces as its cause. This relationship, 2nd Newtons law - law of the force, they learn to apply to the investigation of the motion of the mass particle, the body and the mechanism. They acquaint with subsequent physical quantities of mechanics and the laws of its variation. They acquaint with the geometry of the mass, with the quantities describing the inertia effects of the mass and with its influence to the motion of the body.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

Osnova 1. Základní pojmy mechaniky, síla, moment síly. Silové soustavy, statická rovnováha a ekvivalence. 2. Těžiště čar, ploch, těles. Guldinovy - Pappovy věty. 3. Vazby, uložení, uvolňování. Výpočet reakcí, statická určitost a neurčitost. 4. Vnitřní statické účinky nosníků. 5. Statika soustav těles. 6. Prutové soustavy. 7. Pasivní odpory proti pohybu, statika s třením. 8. Kinematické parametry popisující pohyb bodu a tělesa, souřadnicové systémy, rozdělení pohybu z časového hlediska. Křivočarý pohyb bodu. 9. Dynamika bodu, pohybová rovnice, d´Alembertův princip. Práce, výkon, energie, účinnost. 10. Kinematika absolutně tuhého tělesa, posuvný a rotační pohyb. 11. Dynamika posuvného a rotačního pohybu, hmotové momenty setrvačnosti. 12. Analytické vyšetřování mechanismů, mechanismy s konstantním převodem. 13. Dynamické řešení mechanismů, metoda uvolňování, metoda redukce. 14. Kmitání s jedním stupněm volnosti.

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 30 (30) 0
Project Project 30  0
Examination Examination 70 (70) 0
Written examination Written examination 40  0
Oral Oral examination 30  0
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2002/2003 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner