At the end of this course, students will be able to:
1. Specify the characteristics of the motion of a point mass.
2. Apply Newton's laws.
3. Apply and verify the conservation laws of energy, and of linear momentum in collisions.
4. Describe the state of equilibrium of a solid.
5. Apply the fundamental principle of hydrostatics.
6. Distinguish a real fluid from an ideal fluid.
7. Study the motion of a ball through a viscous fluid.
8. Study the cyclic transformations of a thermodynamical system.
9. Compare the performance of a heat engine to that of Carnot’s engine.
Kinematics: position vector, velocity vector and acceleration vector of a point mass. Study is restricted to Cartesian and polar coordinates.
Dynamics: Types of forces, Newton's three laws of motion. Applications: motion on an inclined plane, free fall, satellites, central forces.
Rotation: Moment of a force, moment of inertia, angular momentum.
Energy: work of a constant force, work of the weight of a body, work of a frictional force and of the tension force in a spring. Theorem of kinetic energy.
Conservation laws: conservation and non-conservation of mechanical energy, conservation of linear momentum and angular momentum.
A solid in equilibrium: Conditions of equilibrium.
Hydrostatic: fundamental principle and hydrostatics. The buoyant force.
Fluid dynamics: Bernoulli's theorem, viscosity, Poiseuille's law, the motion of a spherical body in a viscous medium.
First law of thermodynamics: Enthalpy, energetic treatment of thermal cyclic - processes. Concept of work.
Second law of thermodynamics: Performance of a heat engine, Carnot's theorem. Entropy.
1. Lumbroso (mechanics and thermodynamics)
2. Resnick and Holliday, Serway.
3. General Physics (Schaum series, Spiegel).
4. Dunod physique Tome 1 mécanique.
1. Partial exam of 60 min (25% of the final grade)
2. Final written test 120 min (75% of the final grade).