Ingegneria Gestionale PHYSICS I



The course examines the basilar elements of classical mechanics with the aim to provide to the students a complete picture of this discipline with particular reference to those thematic strictly connected to the engineering.
Knowledge and ability of understanding: The course intends to furnish, in concise and proper way for the applications, the knowledge of the basilar notions and applications of classical mechanics.
Ability to apply knowledge and understanding: The course has as objective that to make the student able to assimilate acquired theoretical knowledges and to know how to resolve exercises concerning problems of classical mechanics.
Communicative ability: The course will to provide the ability of the student to expose in a clear and rigorous way the acquired knowledges. At the end of the course the student has to be able to enunciate in a correct way definitions, problems and theorems concerning the contents of the course itself.
Autonomy of judgment: The students are driven to learn in a critical and responsible way all the arguments exposed during class lectures and to enrich his/her own abilities of judgment through the study of the didactic material pointed out by the teacher.
The course requires the knowledge of basic mathematics topics: algebra, elementary geometry, logarithms, trigonometry, basic elemental differential calculus, first and second equations and inequalities, algebraic systems.
Hours of Lectures: 30, Hours of Exercise: 30
Course content.
1.Introduction to physics. Physical quantities, dimensions and unit of measure. (Theory: 2 hours, exercises: 0 hours)
2.Vector calculus. (Theory: 3 ore, exercises: 3 hours)
3.Material point kinematics, study of motions in one and two dimensions. (Theory: 3 hours, exercises: 3 hours)
4.Material point dynamics. The three principles of the dynamics. Mass, forces, momentum. Central forces, centripetal forces, gravity, elasticity, friction, viscous. Constraints and boundary reactions. Frictions. Angular momentum. Frictions. (Theory: 4 hours, exercises: 5 hours)
5.Reference systems in relative motion. (Theory: 2 hours, exercises: 2 hours)
6.Mechanical work. Theorem of kinetic energy. Potential energy and conservative systems. Conservation of energy, angular momentum. (Theory: 4 hours, exercises: 4 hours)
7.Oscillators and small oscillations. (Theory: 2 hours, exercises: 2 hours)
8.Dynamics of material point systems. Inner forces in multiple point systems. Density. Center of mass: discrete and continuous case. Theorems on the center of mass. Kinetic energy of a material point system and the Koenig theorem. The cardinal equations of dynamics for multiple point systems. (Theory: 4 hours, exercises: 4 hours)
9.Fundamental elements of dynamics and statics of rigid bodies. (Theory: 4 hours, exercises: 5 hours)
10.Scattering processes in one and two dimensions. (Teoria: 2 hours, exercises: 2 hours)
Teaching Methods
Teaching consists of 40 hours of frontal lessons and 20 hours of exercises with an additional a number of tutoring hours. Lessons and exercises will also be provided on the topics outlined with the aid of audiovisual material. Exercises will include the direct participation of students who will be invited to attend and discuss the exercises proposed by the teacher in the classroom together with the rest of the class.
Verification of learning
The achievement of the course objectives will be certified by a written and oral exam with grades on a scale of 30. The final script includes 2 exercises to be performed in 2 hours; students will be able to access the oral exam if the grades of written test are at least 18/30. Intermediate script examinations of 2 hours with two problems can be scheduled during the course; those who reach the final average of at least 18/30 may opt to directly support the final oral exam. The exam is organized in order to fully ascertain the candidate's knowledge with particular attention to his / her ability to fully exhibit connections between the topics of the studied arguments with a good level of clarity in the presentation of the topics.
1.C. Mencuccini, V. Silvestrini: Fisica. Meccanica e termodinamica. Ed. Casa Editrice Ambrosiana, Milano.
2.C. Mencuccini, V. Silvestrini: Esercizi di fisica I. Meccanica e termodinamica. Ed. Casa Editrice Ambrosiana, Milano
3.P. Mazzoldi, M. Nigro, C. Voci: Fisica: 1, Ed. Edises, Napoli.
4.J. Quartieri, L. Sirignano, A. Di Bartolomeo: Fisica 1. Elementi di teoria ed applicazioni. Ed. CUES
5.G. Grella: Lecture notes on mechanics (in Italian). (Free lecture notes in pdf format distributed to students at the beginning of the course).
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