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MECA-H200

Mécanique rationnelle II

academic year
2024-2025

Course teacher(s)

Pierre LAMBERT (Coordinator)

ECTS credits

5

Language(s) of instruction

french

Course content

Basics – Solid kinematics in 2D and 3D. Virtual works. Inertia. Solid kinetics. Vectorial and analytical methods (Lagrange). Various problems of solid dynamics. Variable mass systems. Numerical solving of motion equations.

Optional (may change every year) – Hamilton equations. Variational principles. Kepler’s laws. Chaos. Impact mechanics.

Objectives (and/or specific learning outcomes)

Solids and systems of solids dynamics. Write the number of degrees of freedom of a system. Write motion equations. Compute reaction forces. Solve ODE2 numerically.

Prerequisites and Corequisites

Required and Corequired knowledge and skills

The course is based on bachelor BA1 courses : algebra, analysis, mechanics (systems statics and point dynamics), physics, informatics  and introduction to engineering sciences.

More particularly, the following concepts are assumed to be mastered : free body diagram, partial and total derivatives of a function with n variables, equilibrium equations, analytical solving of simple ODE2 equations, among which the harmonic oscillator.

Required and corequired courses

Cours ayant celui-ci comme co-requis

Teaching methods and learning activities

Therory (syllabus), exercises, practical labs, Q&A sessions.

References, bibliography, and recommended reading

Courses notes (« syllabus ») of  “Mécanique rationnelle II“ and related references

Course notes

  • Syllabus
  • Université virtuelle

Other information

Contacts

Pierre LAMBERT, TIPs, http://plambert.ulb.be

Campus

Solbosch

Evaluation

Method(s) of evaluation

  • Other

Other

January (written examination) + mandatory participation to experimental labs

Mark calculation method (including weighting of intermediary marks)

First session

  • Written examination : exercises and theory studied in the course, the exercises, and the labs.
  • Mandatory participation to labs. Absence will lead to a penalty applied to the examination grade.

Second session

  • Written examination : exercises and theory studied in the course, the exercises, and the labs.
  • Mandatory participation to labs. Absence will lead to a penalty applied to the examination grade.

Language(s) of evaluation

  • french

Programmes