• Semester 4, position 2

-to provide students knowledge of the fundamental principles of Particle Dynamics and Mechanical System Dynamics -to enable students to master the basic theorems and laws of Mechanical System Dynamics, basic concepts of linear vibration of a particle and elements of Analytical Mechanics -to prepare students for solving the problems in different engineering and scientific fields

Upon successful completion of this course, students will be able to: • Form expressions for momentum and angular momentum of a particle, a system of particles and a rigid body • Determine kinetic energy of a particle, a system of particles and a rigid body •Apply impulse-linear momentum theorem, angular impulse-angular momentum theorem and work-kinetic energy theorem of a particle, a system of particles and a rigid body • Solve problems of linear straight line vibrations of a particle • Analyze dynamics of relative motion of a particle • Form differential equations and solve direct or inverse dynamic problem for translation, for rotation about fixed axe and for planar motion of rigid body • Apply general equation of statics, general equation of dynamics and Lagrange equations of the first kind on rigid bodies systems

Linear Momentum of a Particle and a Mechanical System. Impulse. Impulse-Linear Momentum Theorem and Law of Conservation of Linear Momentum. Angular Momentum of a Particle and a Mechanical System. Angular Impulse-Angular Momentum Theorem and Law of Conservation of Angular Momentum. Differential and Total Work of a Force. Force Field. Force Function. Conservative Force. Kinetic Energy of a Particle and a Mechanical System. Work-Kinetic Energy Theorem and Law of Conservation of Kinetic Energy of a Particle and a Mechanical System. Dynamics of Relative Motion of a Particle. Linear Vibration of a Particle. Free and Forced. Damped and Undamped Vibration of a Particle. D'Alamber Principle. Differential Equation of Motions of a Rigid Body (Translation, Rotation about a Fixed Axis, Planar and Spherical Motion of a Rigid Body). Basics of Analytical Mechanics.

Impulse-Linear Momentum Theorem and Law of Conservation of Linear Momentum. Angular Impulse-Angular Momentum Theorem and Law of Conservation of Angular Momentum. Differential and Total Work of a Force. Force Field. Kinetic Energy of a Particle and a Mechanical System .Work-Kinetic Energy Theorem and Law of Conservation of Kinetic Energy of a Particle and a Mechanical System. Dynamics of Relative Motion of a Particle. Linear Vibration of a Particle. Free and Forced, Damped and Undamped Vibration of a Particle. D'Alamber Principle. Differential Equation of Motions of a Rigid Body (Translation, Rotation about a Fixed Axis, Planar and Spherical Motion of a Rigid Body). Basic of Analytical Mechanics.

Defined by the curriculum study program

[1] Mitrović, Z., Simonović, M., Golubović, Z., Mechanics - Dynamics of particle, Faculty of Mechanical Engineering, Belgrade, 2011. [2] Pavišić, M., Golubović, Z., Mitrović, Z. Mechanics - Dynamics of mecnanical systems, Faculty of Mechanical Engineering, Belgrade, 2011. [3] Mladenović, N., Trišović, N., Dynamics, Mašinski fakultet, Faculty of Mechanical Engineering, Belgrade, 2015. [4] Vuković, J., Simonović, M., Obradović, A., Marković, S., Collections of examples for Dynamics, Faculty of Mechanical Engineering, Belgrade, 2007. [5] 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

Đurić, S., Dynamics and theory of Vibrations, Faculty of Mechanical Engineering, Belgrade, 1987.; Rusov, L., Dynamics, Naučna knjiga, 1988.; Mitrović, Z., Simonović, M., Golubović, Z., Mechanics - Dynamics of particle, Faculty of Mechanical Engineering, Belgrade, 2011. ; Pavišić, M., Golubović, Z., Mitrović, Z. Mechanics - Dynamics of mecnanical systems, Faculty of Mechanical Engineering, Belgrade, 2011.; Mladenović, N., Trišović, N., Dynamics, Mašinski fakultet, Faculty of Mechanical Engineering, Belgrade, 2015.