Teacher
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SANTARSIERO MASSIMO
(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 - 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
Collisions
- Collisions between two material points
- Elastic, inelastic and totally inelastic collisions
- Collisions between material points and rigid bodies
Gravitation - Central forces - Gravity - Gravitational and inertial mass - Gravitational potential energy
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
(reference books)
- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli - R. Borghi, "Lezioni di Meccanica", amazon.com
Notes on selected arguments are also available on the course website, under the section "Complementi"
For further studies, the following is suggested: - R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)
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