Physics and Measurements

• Semester 1, position 4

Understanding of basic physical concepts and laws. Aspects of practical application of these laws. Development of problem solving skills through examples from engineering practice and everyday life by applying basic physics laws. Introduction to main devices and methods of direct and indirect measurements in physics and techniques. Understanding of contemporary methods for measurement result processing.

Final outcomes: 1) adequate theoretical and mathematical description and interconnection of processes in general physics, 2) adequate mathematical description of physical properties, 3) application of physical laws, relations and processes in solving basic technical problems, 4) theoretical and mathematical description of basic concepts in theory of measurements, 5) application of acquired theoretical knowledge of physics and measurements for laboratory practice, 6) analytical and scientific representation of measurement results in laboratory exercises.

Basics of kinematics. Basic laws of dynamics: Newton's second law of motion, law of inertia, law of action and reaction, conservation of momentum. Types of forces. Oscillations. Work. Conservation of energy. Rotation. Pressure. Pressure in stationary fluids. Buoyancy. Streaming of ideal fluids. Thermophysics. Phase changes. Ideal gas. Mechanical waves. Standing waves. Sound. Resonance. Electromagnetic waves. Physical optics. Modern physics. Basic concepts of metrology. Expression of measurements results and measurements uncertainty. Frequently used measurement equipment in technical measurements.

Examples of determination of trajectory, path, velocity and acceleration of the body for motions along a straight and curved line. Application of Newton's second law and conservation of mechanical energy for different types of motion, especially for oscillations. Considering the changes in the system energy under the influence of conservative and nonconservative forces and determination of performed work. Application of conservation of momentum. Solving problems in the field of physics of ideal fluids and gases. Application of energy conservation for stationary flow of ideal fluids, as well as in thermophysics for determination of performed work during different thermodinamical processes. Examples in the field of propagation of transvese and longitudinal mechanical waves. Standing waves in confined environment. Resonance. Wave optics (propagation, refraction, reflection, interference and diffraction of waves in optical part of spectrum). X-ray diffraction on crystal.

Defined by the curiculum of study program/module.

1)Lectures in Physics (authors: V.Pavlović, J.Ilić, J.Jovanović, A.Vasić-Milovanović, Z.Trifković; Faculty of Mechanical engineering, University of Belgrade, Belgrade, 2021). 2)Collection of solved problems in Physics (authors: J.Ilić, Z.Trifković, J.Jovanović, A.Vasić, V.Pavlović; Faculty of Mechanical engineering, University of Belgrade, Belgrade, 2020). 3)Laboratory handbook for experimental work in Physics and Measurements (authors: V.Pavlović, J.Ilić, A.Vasić-Milovanović, J.Jovanović, Z.Trifković; Faculty of Mechanical engineering, University of Belgrade, Belgrade, 2022). 4) Lectures in Physics (V.Georgojević et.al., European Commission, Directorate General for Education and Culture, Tempus project number CD_JEP-16123-2001).

Total assigned hours: 75

New material: 20
Elaboration and examples (recapitulation): 10

Auditory exercises: 20
Laboratory exercises: 10
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 3
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 6
Test: 3
Final exam: 3

Activity during lectures: 5
Test/test: 50
Laboratory practice: 15
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30

V.Pavlović, J.Ilić, J.Jovanović, A.Vasić-Milovanović, Z.Trifković, Lectures in Physics, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2021; J.Ilić, Z.Trifković, J.Jovanović, A.Vasić-Milovanović, V.Pavlović, Collection of Solved Problems in Physics, University of Belgrade, Faculty of Mechanical Engineering, 2022; V.Pavlović, J.Ilić, A.Vasić-Milovanović, J.Jovanović, Z.Trifković, Practicum of Laboratory exercises in Physics and Measurements, University of Belgrade, Faculty of Mechanical Engineering, 2022; Halliday D., Resnick R., and Walker J., Fundamentals of Physics, John Wiley & Sons, 2001; Searway R., Beichner R., Jeweet J., Physics for Scientists and Engineers, Fifth Edition, Editor: John Vondeling, Thomson Learning Inc., 2000