Section outline

  • I.          Chapter 0 : Mathematical reminders:

    1-    Equation for dimensions.

    2-     Reminder on vectors

    II.    Chapter I : Kinematics :

    1‐ Position vector in coordinate systems (Cartesian, cylindrical, etc.) - law of motion - Trajectory.

    2‐ Velocity and acceleration in coordinate systems.

    3‐ Applications: Movement of a material point in different coordinate systems.

    4‐ Relative motion.

    III.  Chapter II. Dynamics :

    1‐ Generalities : Mass ‐ Force ‐ Moment of force – Absolute and Gallilien reference frame

    2‐ Newton's laws

    3‐ Principle of conservation of momentum.

    4‐ Differential equation of motion

    5‐ Kinetic momentum

    6‐ Applications of the fundamental law for forces (constant, time-dependent, velocity-dependent, central force, etc.).

    IV. Chapter III. Work and energy :

    1‐ Work of a force

    2‐ Kinetic energy

    3‐ Potential energy – Examples of potential energy (gravity, gravitational, elastic)

    4‐ Conservative and non-conservative forces – Total energy theorem

    V. Bibliography