Course program
1. Physical quantities and their measurements
Reality and physical model. Length and time measurements. Physical dimension and dimensional mathematical equations.
2. Cinematics of any body.
Choosing a reference system. Vector and scalar sizes. Speed and acceleration in one dimension. Time and space law for space and speed. Generalization of hourly law for a different motion considering terms after acceleration. Motorcycle in more dimensions. Trajectory. Moto along the trajectory. Derivative of carrier position. Derivative of speed vector. Circular motion and harmonic motion. Change of reference systems (accelerated / non-accelerated).
3. Dynamics of a Pointed Body.
Mass and strength concept. Force composition (sum, difference). Quantity of motion and pulse. Principles of dynamics and their applications. Inertial and non reference systems. Acceleration of Coriolis. Examples of forces: force weight, gravity, elasticity. Fields of conservative forces. Types of friction. Study of oscillating processes with and without friction. Simple, damped, forced oscillator.
4. Energy aspects of the dynamics of a point body.
Definition of work and power. Labor Theorem and kinetic energy. Potential energy. Potential energy zero. Conservative forces: energy implications. Conservation of total energy. Non-conservative forces: eg motion in the presence of friction.
5. Material bodies.
Description of the motion of a body system according to the center of mass. Internal and external forces. Isolated systems. Moment of force compared to a pole. Cardinal equations of dynamics. Principle of maintaining the amount of motion. The moment of conservation of the moment of motion. Kinetic and potential energy for a system of bodies and conservation conditions. Shot between bodies. Central shock. Non-central shock.
6. Influence of the shape of a rigid body on its motion.
Definition of rigid body as a fixed distance mass system. Cinematics of a rigid body. Translation and rotation of a rigid body. Moment of inertia. Bodies rotating over a fixed pole: composite pendulum. Bodies rotating with respect to a non-fixed pole: gyroscope, bicycle, wheel. Motion of a free body in space. Kinetic energy and potential for translating and rotating a rigid body. Rolling motion. Static.
7. Macroscopic study of many body systems: thermodynamics.
Definition of a gas as a set of many bodies. Kinetic gas theory. Determination of the macroscopic magnitudes of a gas (volume, pressure, temperature) starting from the average microscopic behavior of the individual bodies. Examples of thermodynamic quantities (volume, pressure, temperature) in dynamic systems to many bodies other than gaseous ones. Systems isolated, closed, open.
8. Thermology.
Temperature. Thermometric scales. Expansion of solids and liquids. Heat and calorimetry. Heat transfer: convection / conduction / irradiation.
9. First Principle of Thermodynamics.
Thermodynamic equilibrium. State equations. Transformations. Mechanical work and thermodynamic work. Cyclic transformations. Heat and energy. Internal energy. First principle of thermodynamics. Specific heat.
10. According to principle of thermodynamics and thermal machines.
Thermal machines. Carnot cycle. According to principle of thermodynamics. Carnot theorem. Refrigerator cycle. Otto Cycle. Diesel cycle. Clausius's Entropy and Inequality. Entropy of isolated systems. Irreversible processes. Entropy and temperature as state variables: spaces T-S. Microscopic interpretation of entropy. Statistical study of a multi-body system. Entropy of a perfect gas. Gas expansion entropy. The third principle of thermodynamics.
Prerequisites
The student must know trigonometry and mathematical analysis, with particular regard to derivatives and integrals. He must know what a differential is. He must know the basics of analytic geometry, the concept of orthonormal basis, the difference between a scalar and a vectorial quantity, the vector product and the scalar product between vectors. However, these last concepts will be reviewed during the lessons
Books
C. Mencuccini, V. Silvestrini, Fisica I, Liguori Ed.
D. Sette, A. Alippi, Lezioni di Fisica 1: Meccanica e Termodinamica, Ed. Masson
Frequency
Attendance is not compulsory even if it is highly recommended in order to fully understand the topics of the programme. During the lessons, a particular effort is made to explain all the mathematical passages necessary for the development of the topic.
The lessons are divided into theory (Monday/Wednesday/Friday), exercises (Thursday) and tutoring (the day depends on the availability of the classrooms).
Exam mode
Written and oral exam.
Lesson mode
The course is held in person.
General information on the course is published on the website of the Department of Basic and Applied Sciences for Engineering (SBAI) on the teacher's page.
From year to year the teacher will also activate a GOOGLE CLASSROOM page for the course for which students must register with their Sapienza institutional email address. All communications between teacher and students and the teaching material that will be produced during the lessons will be published on the course page (copy of what is written or projected during the lessons and any video recordings).
On the first day of class, all participants will be given and explained the course that will be followed and the program will be delivered.