The course introduces the scientific method. the first part of the course presents newton's mechanics. The student becomes familiar with the basic models of classical physics and, in particular, with such concepts as physical quantity, field, conservation law. The vector algebra is discussed as well. The second part of the course is dedicated to thermodynamics with the presentation of its general principles, focusing the attention to the perfect gas case. The student is able to apply the above concepts to the solution of simple problems by means of appropriate analytical procedures.
scheda docente
materiale didattico
- 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)
R. Borghi, “Esercizi e Problemi di Fisica. I. Meccanica”, Amazon.it
R. P. Feynman, “La Fisica di Feynman,” (Voll. I e II), Zanichelli, Bologna
“The Feynman Lectures on Physics,” http://www.feynmanlectures.caltech.edu/ (versione online)
E. Fermi, "Termodinamica", Bollati Boringhieri, Torino.
Programma
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)
Testi Adottati
R. Borghi, “Lezioni di Meccanica”, Amazon.itR. Borghi, “Esercizi e Problemi di Fisica. I. Meccanica”, Amazon.it
R. P. Feynman, “La Fisica di Feynman,” (Voll. I e II), Zanichelli, Bologna
“The Feynman Lectures on Physics,” http://www.feynmanlectures.caltech.edu/ (versione online)
E. Fermi, "Termodinamica", Bollati Boringhieri, Torino.
Bibliografia Di Riferimento
R. Borghi, “Lezioni di Meccanica”, Amazon.it R. Borghi, “Esercizi e Problemi di Fisica. I. Meccanica”, Amazon.it R. P. Feynman, “La Fisica di Feynman,” (Voll. I e II), Zanichelli, Bologna “The Feynman Lectures on Physics,” http://www.feynmanlectures.caltech.edu/ (versione online) E. Fermi, "Termodinamica", Bollati Boringhieri, Torino.Modalità Erogazione
Frontal teachingModalità Frequenza
Course attendance not mandatory.Modalità Valutazione
The test consists of solving three open-ended problems plus a number of closed-ended questions. The test is considered passed with a grade of at least 18/30