Teacher
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GABRIELLI ANDREA
(syllabus)
Introduction - Physical quantities and units - Fundamentals on vector algebra Kinematics of a material point - Kinematics quantities in the rectilinear motion - Uniformly accelerated rectilinear motion - Simple harmonic motion - Kinematics in 2-D and 3-D - Motion trajectory - Tangential and normal components of acceleration - Parabolic motion - Circular motion - Relative motion Dynamics of a material point - Principles of Dynamics and Newton's laws - Momentum and Impulse - Equilibrium and constraint reaction forces - Gravitational force - Weight and motion under gravity - Forces and motion - Forces of dry friction - Inclined plane - Elastic force and mass-spring system - Tension force in ropes - Applications to circular motion - Viscous force - Electrical charge and Coulomb force - Simple pendulum - Inertial and non-inertial reference frames - Inertial forces Work and Energy - Work and power - Work of weight, elastic and dry friction forces - Work-energy theorem. Applications - Conservative forces. Potential energy - Central forces - Gravitational and electrostatic potential energies - Conservation of mechanical energy. Applications - Stability conditions for static equilibrium Dynamics of systems of material points - systems of material points. Internal and external forces - First cardinal equation for systems dynamics - Center of mass and its motion - Conservation of momentum - Collisions (brief notes) - Moment of a force and angular momentum - Second cardinal equation for systems dynamics - Conservation of angular momentum - Koenig theorems Rigid body dynamics - Definition of rigid body and its properties - Continuous bodies. Density and center of mass - Rigid body kinematics. Angular velocity - Rigid body dynamics. Rotations around a fixed axis - Moment of inertia - Huygens-Steiner theorem - Compound pendulum - Rolling motion - Equilibrium for a rigid body Thermodynamics - Kinetic theory of ideal gases (brief notes) - Temperature and pressure - Thermodynamic systems and states - Thermodynamic equilibrium - Mechanical work and heat - First law of thermodynamics - Thermodynamic processes (adiabatic, reversible, irreversible) - Heat capacity and specific heat - Ideal gas law - Specific heat of ideal gases - Cyclic processes and the Carnot cycle - Second law of thermodynamics - Carnot's theorem - Clausius theorem - Entropy (brief notes)
(reference books)
P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica - Meccanica e Termodinamica, ed. Edises C. Mencuccini, V. Silvestrini, "Fisica - Meccanica e Termodinamica", Ed. Ambrosiana
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