-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