Theoretical understanding of physical phenomena, namely:
- Use conservation laws in the study of the movement of a mechanical system.
- Identify possible orbits of a particle in a field of central forces.
- Determine the orbit of a particle in a field of central forces.
- Know how to choose the appropriate coordinate system to the resolution of different problems.
- Identify the connections in a dynamic system.
- Know how to write the Lagrangian in terms of different generalized coordinates and know how to obtain the motion equations. Know which the degrees of freedom of a rigid body are.
- Know how to calculate moments of inertia of a rigid solid.
- Know how to write the Hamiltonian of a system and Hamilton equations. Identify a canonical transformation by means of the formalism of Poisson brackets.
1. Newtonian Mechanics: Newton laws, conservation laws, unidimensional movement of a conservative system: energy versus position.
2. Central forces field: orbit of a particle undergoing a central force, movement equations, Kepler problem, binary systems, dispersion of particles.
3. System of particles: conservation laws, applications.
4. Lagrangian formalism: connections, generalized coordinates, d'Alembert’s principle and Hamilton variational principle.
5. Rigid body motion: orthogonal transformations, Euler angles, Euler’s theorem, Coriolis force, relative movement to the Earth, angular momentum and kinetic energy of a rigid body with a fixed point, the gyroscope.
Mathematical Analysis, Linear Algebra and Analytical Geometry, General Physics I and II.
Generic skills to reach
. Competence in analysis and synthesis; . Competence to solve problems; . Critical thinking; . Adaptability to new situations; . Competence in applying theoretical knowledge in practice; . Competence in organization and planning; . Competence in oral and written communication; . Competence to communicate with people who are not experts in the field; . Competence in autonomous learning; (by decreasing order of importance)
Teaching hours per semester
total of teaching hours
assessment implementation in 20112012 Resolution of problems : 30.0% Exam: 70.0%
Bibliography of reference
FRENCH, A. P. (1971). Newtonian Mechanics. W. W. Norton.
GOLDSTEIN, H. (1980). Classical Mechanics. 2. ed. Addison-Wesley.
MARION, J. B.; e THORNTON, S. T. (1995). Classical Dynamics of Particles and Systems. 4. ed. Academic Press.
LANDAU, L. & LIFCHITZ, E. (1976). Mechanics. Pergammon.
Presentation of the different topics exemplified by means of practical applications. Students will have to solve problems autonomously. Mathematical techniques will be introduced whenever necessary, which are needed for the understanding of the themes and resolution of physics problems: second-order tensor, variation calculation, etc.