ID: 7015
Course type: theoretical and methodological
Course coordinator: Zorić D. Nemanja
Lecturers: Zorić D. Nemanja, Jeremić M. Olivera, Lazarević P. Mihailo, Mandić D. Petar, Mitrović S. Zoran, Obradović M. Aleksandar, Radulović D. Radoslav, Rosić A. Nevena, Tomović M. Aleksandar, Trišović R. Nataša
Contact: Zorić D. Nemanja
Level of studies: B.Sc. (undergraduate) Academic Studies – Information Technologies in Mechanical Engineering
ECTS: 5
Final exam type: oral
Department: Department of Mechanics
-to provide students knowledge of the fundamental principles of particle kinematics and particle dynamics -to enable students to master the determination of motion of a particle, dynamics of a free and constrained particle, linear straight line vibrations of a particle, basic theorems and laws of a particle - to prepare students for solving the problems in different engineering and scientific fields
Upon successful completion of this course, students will be able to: • Analyze motion of a particle in various coordinate systems • Solve problems related to kinematics of a particle, i.e. to determine line of motion, trajectory, velocity, acceleration and sector velocity • Set differential equation related to the motion of a free and constrained particle, as well as to solve direct and inverse dynamic problem of a particle • Solve problems of linear straight line vibrations of a particle •Form expressions for momentum and angular momentum of a particle • Determine kinetic energy of a particle •Apply impulse-linear momentum theorem, angular impulse-angular momentum theorem and work-kinetic energy theorem of a particle • Solve motion problems of a particle under central force
Basic concepts of kinematics. Determination of motion of a particle – vector, analytical and natural. Determination of a particle velocity. Determination of a particle acceleration. Free particle dynamics. Direct and inverse tasks of dynamics. Constraints. Euler’s and Lagrange’s equations of motion of a particle. Linear straight line vibrations of a particle. Free and forced, damped and undamped vibration of a particle. Linear Momentum of a Particle. Impulse. Impulse-linear momentum theorem and law of conservation of linear momentum of a particle. Angular momentum of a particle. Angular impulse-angular momentum theorem and law of conservation of angular momentum of a particle. Work of a force. Force field. Conservative force. Kinetic energy of a particle. Work-kinetic energy theorem and law of conservation of kinetic energy of a particle. Differential equations of motions for a particle subjected to central force. Binet equation.
Determination of motion of a particle – vector, analytical and natural. Determination of a particle velocity. Determination of a particle acceleration. Free particle dynamics. Euler’s and Lagrange’s equations of motion of a particle. Free and forced, damped and undamped vibration of a particle. Solving differential equations of motion of a particle by using corresponding software. Linear Momentum of a Particle. Impulse-linear momentum theorem and law of conservation of linear momentum of a particle. Angular momentum of a particle. Angular impulse-angular momentum theorem and law of conservation of angular momentum of a particle. Kinetic energy of a particle. Work-kinetic energy theorem and law of conservation of kinetic energy of a particle. Binet equation.
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[1] Simonović, M., Mitrović, Z., Golubović, Z., Mechanics - Kinematics, Faculty of Mechanical Engineering, Belgrade, 2018. ISBN: 978-86-7083-987-8 [2] Mitrović, Z., Simonović, M., Golubović, Z., Mechanics - Dynamics of particle, Faculty of Mechanical Engineering, Belgrade, 2017. ISBN: 978-86-7083-947-2 [3] Mladenović, N., Trišović, N., Dynamics, Faculty of Mechanical Engineering, Belgrade, 2021. ISBN: 978-86-6060-076-1 [4] Mladenović, N., Mitrović, Z., Stokić, Z., Collections of examples for Kinematics, Faculty of Mechanical Engineering, Belgrade, 2019. ISBN: 978-86-6060-018-1 [5] Vuković, J., Simonović, M., Obradović, A., Marković, S., Collections of examples for Dynamics, Faculty of Mechanical Engineering, Belgrade, 2021. ISBN: 978-86-6060-092-1 [6] Handouts
Total assigned hours: 60
New material: 30
Elaboration and examples (recapitulation): 0
Auditory exercises: 20
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: 6
Final exam: 4
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
Simonović, M., Mitrović, Z., Golubović, Z., Mechanics - Kinematics, Faculty of Mechanical Engineering, Belgrade, 2018. ISBN: 978-86-7083-987-8; Mitrović, Z., Simonović, M., Golubović, Z., Mechanics - Dynamics of particle, Faculty of Mechanical Engineering, Belgrade, 2017. ISBN: 978-86-7083-947-2; Mladenović, N., Trišović, N., Dynamics, Faculty of Mechanical Engineering, Belgrade, 2021. ISBN: 978-86-6060-076-1; Mladenović, N., Mitrović, Z., Stokić, Z., Collections of examples for Kinematics, Faculty of Mechanical Engineering, Belgrade, 2019. ISBN: 978-86-6060-018-1; Vuković, J., Simonović, M., Obradović, A., Marković, S., Collections of examples for Dynamics, Faculty of Mechanical Engineering, Belgrade, 2021. ISBN: 978-86-6060-092-1