• Biomedical Engineering, Semester 1, position 3
• Shipbuilding, Semester 1, position 3
• Aviation, Semester 1, position 3
• Dizajn u mašinstvu, Semester 1, position 3
• Rail Vehicles, Semester 1, position 3
• Zavarivanje i zavarene konstrukcije, Semester 1, position 3
• Industry Engineering, Semester 1, position 3
• Mašinstvo i informacione tehnologije, Semester 1, position 3
• Motor Vehicles, Semester 1, position 3
• Motori SUS, Semester 1, position 3
• Production Engineering, Semester 1, position 3
• Procesna tehnika i zaštita životne sredine, Semester 1, position 3
• Automatic Control, Semester 1, position 3
• Weapon Systems, Semester 1, position 3
• Thermal Energy, Semester 1, position 3
• Transportno inženjerstvo, konstrukcije i logistika, Semester 1, position 3
• Thermal Power Engineering, Semester 1, position 3
• Hidroenergetika, Semester 1, position 3
• Mechanics, Semester 1, position 3
• Inženjerska grafika i mehatronika, Semester 1, position 3
• Poljoprivredno prehrambeno mašinstvo, Semester 1, position 3

The aim of this course is that students learn the elements of the dynamics of the oscillatory motion of a particle, the dynamics of variable mass particle, advanced problems in kinematics of a particle, kinematics of a complex motion of a rigid body and mechanical system of rigid bodies as well as the dynamics of spherical and general rigid body motion, the approximate theory of gyroscope and the impact theory.

Upon successful completion of this course, students should be able to: • Solve problems related to all kinds of rectilinear oscillations of a particle and material systems with one degree of freedom. • Analyze the motion of variable mass particle. • Create expressions for velocity and acceleration of a particle in curvilinear coordinates. • Describe the general motion of a rigid body and carry out the synthesis of translational and rotational motion. • Distinguish analytical cases of spherical rigid body motion described by Euler dynamic equations and cases of approximate theory of gyroscopic phenomena using Rezal theorem. • Solve problems related to the impact (collision) of a particle and rigid body.

Rectilinear oscillation (vibration) of a particle. Free and forced, damped and undamped oscillations of a particle. Decrement of oscillations. Tremors. Resonance. Dynamic amplification. Resonant diagrams. Dynamics of a variable mass particle. Kinematics of a particle in curvilinear coordinates. Kinematics of the general motion of a rigid body. Kinematics of the complex motion of a rigid body. Synthesis of motions of a rigid body. Introduction to the kinematics of rigid body systems. Dynamics of spherical and general body motion. Approximate theory of gyroscope. Gyroscopic torque. The basic impact theory. The impact coefficient. Theorems about the changes of linear and angular momentum during the impact.

Rectilinear oscillation (vibration) of a particle. Free and forced, damped and undamped oscillations of a particle. Decrement of oscillations. Tremors. Resonance. Dynamic amplification. Resonant diagrams. Dynamics of a variable mass particle. Kinematics of a particle in curvilinear coordinates. Kinematics of the general motion of a rigid body. Kinematics of the complex motion of a rigid body. Synthesis of motions of a rigid body. Introduction to the kinematics of rigid body systems. Dynamics of spherical and general body motion. Approximate theory of gyroscope. Gyroscopic torque. The basic impact theory. The impact coefficient. Theorems about the changes of linear and angular momentum during the impact.

Defined by the curriculum study of graduate studies program.

Handouts

Total assigned hours: 75

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

Auditory exercises: 30
Laboratory exercises: 0
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: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 0
Test: 10
Final exam: 5

Activity during lectures: 0
Test/test: 60
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 30

Pavišić, M., Golubović, Z., Mitrović., Z., Mechanics, Dynamics of System, MF Belgrade, 2011.; Mladenović, N., Trišović, N., Dynamics, Faculty of Mechanical Engineering, Belgrade, 2015.; Djuric, S., Dynamics and theory of oscillations, MF Belgrade, 1987. ; Rusov, L., Dynamics, Naučna knjiga, 1988.; Vuković, J., Simonović, M., Obradović, A., Marković, S., Collections of examples for Dynamics, Faculty of Mechanical Engineering, Belgrade, 2007.