Telecommunication Engineering

MECHANICS Point kinematics 1.1 Introduction, 1.2 Rectilinear motion, 1.3 Velocity in rectilinear motion. Uniform rectilinear motion, 1.4 Acceleration in rectilinear motion, uniformly accelerated rectilinear motion, 1.5 Vertical motion of a body, 1.6 Simple harmonic motion, 1.7 Rectilinear motion exponentially damped, 1.9 Motion in the plane, position and speed, Cartesian components, 1.10 Acceleration in plane motion , Cartesian components, 1.11 Circular motion, vectorial notation, 1.12 Parabolic motion of bodies, 1.13 Motion in space, motion composition. Point dynamics 2.1 Principle of inertia, introduction to the concept of force, 2.2 Newton's laws, 2.3 Momentum, momentum, 2.4 Resultant of forces, equilibrium, support reactions, 2.5 Classification of forces, 2.6 Dynamic action of forces, 2.7 Weight, 2.8 Grazing friction force, 2.9 Inclined plane, 2.10 Elastic force, 2.11 Viscous friction force, 2.12 Centripetal forces, 2.13 Simple pendulum, 2.14 String tension, 2.15 Work, power, kinetic energy, 2.16 Work of the weight force, 2.17 Work of a elastic force, 2.18 Work of a sliding friction force, 2.19 Conservative forces, potential energy, 2.20 Conservation of mechanical energy, 2.21 Outline of the relationship between potential energy and force, 2.22 Angular momentum, moment of force, angular momentum theorem, Relative motions 3.1 Reference systems. Relative speeds and accelerations theorem of relative speeds, theorem of relative accelerations, 3.2 Inertial reference systems. Galilean relativity, 3.3 Uniform rectilinear dragging motion, 3.4 Accelerated rectilinear dragging motion, 3.5 Uniform rotary dragging motion. Dynamics of systems of material points 4.1 Systems of points, internal forces and external forces, 4.2 Center of mass of a system of points, theorem of motion of the center of mass, observations and examples on the properties of the center of mass, 4.3 Conservation of momentum, 4.4 Theorem of momentum angle, 4.5 Conservation of angular momentum, 4.6 Reference system of the center of mass, 4.7 König's theorems for angular momentum and kinetic energy, 4.8 The kinetic energy theorem, 4.9 Collisions between two material points in the reference system of the laboratory, 4.10 Completely inelastic collision, 4.11 Central elastic collision, 4.12 Notes on inelastic collision, 4.15 Properties of systems of forces applied to different points, system of parallel forces, axial moment. Gravitation 5.1 The gravitational force, 5.2 Inertial mass and gravitational mass, 5.4 Gravitational potential energy. Rigid body dynamics. Basics of statics 6.1 Definition of rigid body, first properties, 6.2 Motion of a rigid body, 6.3 Continuous body, density, position of the center of mass, calculation of the position of the center of mass, center of mass and weight force, 6.4 Rigid rotations around an axis fixed in an inertial frame of reference, calculation of angular momentum, moment of inertia, examples on the effects of non-parallelism between L and ω, equation of motion, calculation of kinetic energy and work, 6.5 Moment of inertia, 6.6 Theorems of Huygens-Steiner and of König, 6.7 Compound pendulum, 6.8 Pure rolling motion, conservation of energy, rolling friction, 6.11 Gyroscopes, 6.14 Collisions between material points and rigid bodies or between rigid bodies, 6.15 Statics. Mechanical properties of fluids 8.1 General information on fluids, pressure, Work of pressures, 8.2 Static equilibrium of a fluid, 8.3 Equilibrium in the presence of weight force, 8.4 Archimedes' principle. Swings and waves 9.2 Properties of the differential equation of the harmonic oscillator, 9.7 Harmonic oscillator damped by a viscous force, strong, critical and weak damping, 9.8 Forced harmonic oscillator, study of the response as a function of ω, some considerations on the resonance phenomenon. THERMODYNAMICS First law of thermodynamics 10.1 Thermodynamic systems and states, 10.2 Thermodynamic equilibrium, principle of thermal equilibrium, 10.3 Definition of temperature, thermometers, thermometric scales, 10.4 Adiabatic systems, Joule experiments, heat, 10.5 First law of thermodynamics, internal energy, heat sign convention and work, 10.6 Thermodynamic transformations, Work and heat, adiabatic transformations, reversible and irreversible transformations, 10.7 Calorimetry, measurement of specific heats, specific heats of solids, 10.8 Isothermal processes, phase changes, heat sources. Ideal and real gases 11.6 Study of adiabatic, isothermal, isochoric, isobaric (enthalpy) and generic transformations, 11.7 Cyclic transformations, Carnot cycle, Otto cycle (combustion engine), refrigeration cycles, 11.9 PV diagrams, Van der Waals equation, 11.10 Kinetic theory of gases, calculation of pressure, equipartition of energy, mention of the distribution of speeds, 11.12 Kinetic meaning of temperature and heat. Second law of thermodynamics 12.1 Statements of the second law of thermodynamics, 12.2 Reversibility and irreversibility, 12.3 Carnot's theorem, study of maximum efficiency, 12.5 Clausius's theorem, 12.6 The entropy state function, T-S diagrams, 12.7 The principle of increasing entropy, 12.8 Calculations of variations of entropy: adiabatic transformations, heat exchanges with sources, heat exchanges between two bodies, 12.9 Ideal gas entropy, adiabatic transformations, 12.12 Entropy and probability. LABORATORY PART (with ELIGIBILITY) Elements of measure theory: systems of units of measure; definition, probabilistic meaning and use of statistical elements. Errors and uncertainties. Systematic and random errors. Sensitivity, precision and accuracy of measurements and instruments. Uncertainties of type A and B. Absolute and relative uncertainties. Propagation of the uncertainties of indirect measures. Comparison of measures. Graphical representation of measurements. Linearization of functions of physical quantities. Meaning and use of the least squares method. Laboratory: execution of simple experiments also with data acquisition through on-line sensors. Assisted statistical processing of experimental data.

Knowledge of general mathematics, trigonometry, Euclidean geometry, analytic geometry, differential and integral calculus.

For the theory part, the use of the following texts is recommended: Mazzoldi, Nigro, Voci, Fisica, Volume I, 3rd Edition, Edises, Naples. Michelotti, General Physics-Performed exercises, 3rd Edition, Esculapio Editore. For the laboratory part, we recommend viewing the handouts available on the website of the course: https://www.sbai.uniroma1.it/users/belardini-alessandro

For the suggested theory part, not mandatory. For the laboratory part, obligatory attendance of the exercises (at least 70% of the exercises).

Written exam only with exercises followed by an oral exam. Eligibility for the laboratory will be given on the basis of a practical test.

Lessons and exercises: two hours of classroom lessons: 1 hour and 30 minutes of teaching, with 30 minutes in which the teacher is available for questions and clarifications. For laboratory exercises: three hours of exercise.