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Teacher
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MATT GIORGIO
(syllabus)
Vectors and vector calculus. Kinematics of the point mass. Position, velocity and acceleration vectors. Centripetal and tangential accelerations. Circular and harmonic motions. Kinematics in polar coordinates. Radial velocity. Changes of reference frames and transformations of velocity and acceleration.
Mechanics of point mass: the force and the three laws of dynamics. Inertial and non-inertial reference frames. Work. Work-energy theorem. Conservative and non-conservative forces. Conservation law of mechanical energy.
Non-inertial reference frame: real and fictitious forces, Coriolis force.
Systems of point masses: momentum and angular momentum. The cardinal laws of mechanics. Center of mass and its theorem. Conservation law of momentum and angular momentum. Total energy of a system of point masses. Koenig's theorem. Collisions between two point masses: elastic and inelastic collisions. Mechanics of rigid bodies. Motion of a rigid body: momentum, angular momentum and kinetic energy. Moment of inertia. Steiner's theorem. Principal axes of inertia. Study of the motion of rigid bodies in particular cases: rotation around a fix axis, roto-translation without and with friction, precession.
The gravitational field. Newton's law of gravitation. Escape velocity. Kepler's laws for circular orbits.
Elasticity. Hooke's law, Young's modulus and Poisson's coefficient. Analysis of deformations in some cases.
Fluid mechanics. Pressure. Static fluids: Stevino's law, Pascal's law and Archimede's law. Fluid dynamics: mass conservation in stationary motion, Bernoulli's equation, laminar and turbulent motion, viscosity. Waves: mathematical description. Transversal and longitudinal waves. The sound. Energy transported by waves. Doppler Effect.
Thermodynamics. Temperature and its microscopic meaning. Reversible and irreversible transformation. Heat and work. First law of thermodynamics. Internal energy. Ideal gases and their transformations. Real gases. Liquids and solids. Thermodynamical phase transitions: solid-liquid and liquid-vapour transition. Van der Waals equation for real gasses. Second law of thermodynamics. Heat engines and their efficiency.
Carnot's theorem. Entropy. Kinetic theory of gases. Equipartition of energy. Internal energy and entropy of ideal gases. Third law of thermodynamics. Thermodynamical potentials: Helmoltz's free energy and Gibbs' s free enthalpy.
(reference books)
Corrado Mencuccini, Vittorio Silvestrini: Fisica 1. Meccanica termodinamica. Corso di fisica per le facoltà scientifiche. Con esempi ed esercizi. Liguori Editore
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Università Roma Tre