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  • General information

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    Material point mechanics is a fundamental branch of physics that studies the motion of objects by considering their mass concentrated in a single point. It is based on Newton's laws, which describe the relationship between the force applied to an object, its mass and its motion. This discipline makes it possible to predict and analyse the motion of objects in a variety of contexts, including free fall, circular motion and the dynamics of particle systems. By combining the concepts of kinematics and dynamics, material point mechanics provides a powerful theoretical framework for understanding the physical world around us. This course is accompanied by illustrations and direct applications so that students can immediately assimilate the concepts covered, thus facilitating the transition from the theoretical course to application problems.


    Course Information

    The course is one of the fundamental teaching units in the official national programme drawn up by the Ministry of Higher Education and Scientific Research for first-year students in the common core of science and technology, with an hourly volume of
    hourly volume : 67h30 half-yearly (Course 3h, TD 1h 30) 
    coefficient = 03.
    Credit : 06.
    Evaluation type: continuos control 40% and final exam 60% 




  • Presentation of the Author

    • Dr. Katia. SIDI AHMED
    • University: Mohamed khider BISKRA 
    • Faculty: Sciences and techniques
    • Department: Electrical Engineering 
    • Contact : katia.sidiahmed@univ-biskra
    • availabilities : Sunday, Monday, Tuesday 12H00-13H00 by mail : I commit myself to answer by mail in 24 hours following the reception of the message.




  • Course objectives

    1. Introduce clear definitions and deal with the basic physical quantities that are used to express physical law.
    2. Determine the kinematic quantities such as the acceleration, velocity and position vectors and the time equation of the trajectory of the material point with respect to a reference frame chosen by the observer.
    3. Knowledge of the main vector operators used in the expression of the fundamental laws of physics: divergence, gradient and rotational.
    4. Study the different coordinates (Cartesian, polar, cylindrical and spherical) used to describe and solve problems in three-dimensional systems and analyse complex physical phenomena, particularly in mechanics, electromagnetics and other fields where three-dimensional geometry is important.                                                                                                                          This course is accompanied by illustrations and direct applications so that students can immediately assimilate the concepts covered, thus facilitating the transition from the theoretical course to application problems.

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  • Pre-requisites

    To successfully complete this course, you need to have skills at the level of the final year of secondary education. 

    1. Vectors: Familiarity with vector operations, such as addition, subtraction, scalar product and vector product.
    2. Kinematics: Knowledge of the concepts of position, velocity and acceleration, as well as motion graphs.
    3. Vector analysis: Knowledge of vector operators such as gradient, divergence and rotational.


  • Pre-requisite test

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  • Course plan

     Chapter I: Dimensional analysis and Vector calculus

     Chapter II: Kinematics of the material point

    Chapter III. Dynamics

    Chapter IV. Work and energy 

    final test

    References



  • Chapter 1 Dimensional analysis and Vector calculus

    the aim of studying physical dimensions is to: 

    analyse physical relationships 

    understanding the fundamental units  and determination of derived units .


  • Chapter2 Kinematics of the material point

    The aim of point kinematics is to study the motion of a point over time independently of the causes that produce the motion. The objectives are to determine kinematic quantities such as acceleration vectors, velocity, position and the time equation of the trajectory of this point relative to a reference frame chosen by the observer


  • Final test

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      final test Fichier
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      Test
      Final test
      Ouvert : mercredi 25 septembre 2024, 17:00
      Terminé : vendredi 27 septembre 2024, 19:00

  • Bibliography

    [1] AHMED FIZAZI, Cahier de la Mécanique du Point Matériel, Office des Publications Universitaires, Algérie, 2013.

    [2] ZEBBAR SOUHILA, Mécanique du point matériel cours et exercices, édité par l' institut des sciences et de la technologie du centre universitaire el-wancharissi de tissemsilt, 2018.

    [5] ZIANI NOSSAIR et BOUTAOUS AHMED, Mécanique du point matériel cours et

    exercices, université des sciences et technologie d’Oran - Mohamed Boudiaf-, 2015/2016.

    [6] ALAIN GIBAUD ET MICHEL HENRY, Cours de physique mécanique du point,

    Edition Dunod

    [7] F. MEKIDECHE – CHAFA, A. CHAFA, A. DERBOUZ, A. DIB, M. HACHEMANE, F.

    KAOUAH, Exercices de Dynamique du point.

    [8] HADJRI MEBARKI SORIA, Physique générale - live 1: Cinématique du point matériel,OPU, 2016.

    [9] HADJRI MEBARKI SORIA, Physique générale - live 2: dynamique du point matériel,OPU, 2016.