SWINGS AND WAVES
Basic knowledge of trigonometry and math analysis (provided by Calculation courses) and mechanics (provided by the course of Mechanics of the point, systems and fluids). However, no pre-requisites are required.
The exam consists of an oral exam. Initially, the acquisition of basic concepts regarding oscillatory and wavelength phenomena is verified. If this part is overcome positively, questions will be asked about the less standard topics discussed during the lessons.
The purpose of the course is to provide basic knowledge about oscillators and wave phenomena. However, topics that are not commonly found in basic textbooks will also be addressed to provide students with methods to analyze more complex situations.
The course is equally divided between oscillations (24 h) and waves (24 h)
OSCILLATIONS
Harmonic oscillations, free, forced, damped, forced and damped (8 h)
Coupled Oscillators (4 hrs)
Inverted Pendulum (4 h)
Parametric oscillations (4 h)
Nonlinear oscillations (4 h)
WAVES
D'Alembert equation, flat waves and spherical waves (2 h)
Monochromatic plane waves, beats, group velocity, dispersion (2 h)
Acoustics (2 h)
Sea Waves (2 h)
Waves in a solid (2 h)
Waves in a string with fixed ends, Fourier analysis (4 h)
Interference: Young, Michelson, Mach-Zehnder interferometers (4 h)
Diffraction: Kirchoff integral, single slit, double slit, grating, circular opening, opaque disk (6
Landau L., Lifshits E.M., “Mechanics”, Pergamon
Frontal teaching (48 h)