1. Kinematics of a particle
- Position, path and displacement. Speed. Acceleration, intrinsic components of acceleration
- Movement composition
- Circular motion
- Reference systems (1)
- Integration of equations of motion without explicit dependence on time
2. Dynamics of a particle
-Fundamental concepts: mass, forces, linear moment
-Examples of forces: weight, elastic force, friction...
-Angular moment and moment of forces
-Reference systems (2). Inertial forces
3. Conservative and non-conservative forces. Work and energy.
-Scalar and vector fields. Gradient and curl.
-Conservative fields. Potential function.
-Work. Power. Kinetic energy
-Conservative forces and potential energy
4. Systems of particles
-Internal and external forces.
-Statics. General condition of equilibrium.
-Motion of the center of masses.
-Kinetic energy of a system of particles.
-Conservation theorems for a system of particles.
5. Kinematics of the Rigid Body
-Rotation and translation motion.
-Motion of the rigid body in the plane.
-Moment of inertia.
-Theorem of Steiner.
6. Dynamics of the Rigid Body
-Equations of motion of the rigid body
-Rotation work and power.
-Kinetic energy of rotation.
7. Introduction to Thermodynamics
-Thermodynamics: concept and definitions.
-Equilibrium States. Quasistatic processes and reversible processes.
-Definition of temperature
-Thermometry. Ideal gas scale
-Thermal coefficients: expansion and isotherm compressibility
8. First principle
-Experiment of Joule and statement of Helmholtz.
-Internal energy; energy equation of state.
-Heat. Heat capacities and specific heats. Heat and work sources.
-Application to ideal gases.
-Diagrams PV and PT
9. Second principle
-Statement of Kelvin-Planck. Thermal engines.
-Statement of Clausius. Refrigerating machines. Irreversibility.
-Cycle of Carnot. Theorem of Carnot. Consequences
-Cycles with ideal gases.
-Theorem of Clausius. Entropy
-Diagrams T-S. Entropy in ideal gases.
-Entropy in irreversible processes. Entropy balance.