But du cours
This course enables students to study the motion of a rigid body.
- Kinematics of rigid bodies: rigid body in mechanics, velocity and acceleration fields, Varignon’s theorem, change of reference frame (inertial and accelerated frames).
- Elements of kinetics: mass of a material system, center of inertia of a rigid body, moments of inertia, kinetic energy.
- Dynamic study of material systems: modeling of mechanical actions, laws of dynamics in a Galilean reference frame.
- Energy study of material systems.
Acquis d'apprentissage visés
- Know and apply Newton’s laws to rigid bodies in motion.
- Understand basic concepts: position, velocity, acceleration, force, moment, and kinetic energy.
- Analyze the motion of points and rigid bodies in translation and rotation, and apply motion equations.
- Master motion descriptions (trajectories, velocities, accelerations) in fixed and moving frames.
- Understand and use concepts of moment of inertia and torque.
- Calculate the work done by forces and torques on rigid bodies.
- Apply energy and momentum conservation principles (impulse and angular momentum).
- Apply solid dynamics principles to real-world engineering problems (vehicle mechanics, rotating machines, moving structures, etc.).
Prérequis
Point Mechanics
Programme
- Kinematics of points and rigid bodies: trajectories, velocities, accelerations, fixed and moving frames.
- Newton’s laws applied to rigid bodies: forces, moments, motion equations.
- Kinetics of rigid bodies: mass, center of inertia, moment of inertia, kinetic energy.
- Work of forces and torques, mechanical power, energy balances.
- Conservation of energy, linear momentum, and angular momentum.
- Applications to engineering systems: machine motions, mechanisms, rotating structures.
Modalités d'évaluation
2 Written exams (2h/2h) + 1 Lab report