Learning outcomes of the course unit
The student independently should be able to understand and to schematize by means of mathematical models the phisical phenomena, and acquire the aptitude to learn, with critical mind, the courses that characterize the Mechanics Engineering degree.
Mathematical Analysis, Geometry and Phisics I.
Course contents summary
The Theoretical Mechanics course is an applied mathematics course, the link between the pure mathematics courses (Mathematical Analisys and Geometry) and of engineering contents (expecially Applied Mechanics). The course is structured in two parts. In the first one, we furnish the basis of the kinematics. In particular we emphasize the study of the plane motions of the rigid bodies. In the second part, we apply the laws of the classical mechanics to the mechanical systems.
Free vectors theory - geometry of the plane curves - kinematics of the element - kinematics of the rigid body - relative kinematics - rigid plane motiond - polar curves - statics and dynamics of the element - cardinal equations - applied vectors theory - statics and dynamics of the rigid body - statics and dynamics of the articulate systems.
As well the duplicate lecture notes of the lecturer, the following texts are reccomended: P.G.Bordoni "Lezioni di meccanica razionale" - P.Biscari, T.Ruggeri, G.Saccomanni, M.Vianello "Meccanica razionale per l'ingegneria" - G.Frosali, E.Minguzzi "Meccanica Razionale per l'ingegneria" - P.Benvenuti, G.Maschio "Complementi ed esercizi di meccanica razionale".
The exam consists of lectures, of which a significant proportion (almost half) will be devoted to pratical work. This consists of mechanical examples and exercises that are designed to illustrate and apply the concepts presented in the thoretical part of the course. The same type of exercises are then proposed in the first written examination.
Assessment methods and criteria
The exam consists of twoo written tests and one possible oral test. The first written test (of about three hours) contains one or more exercises. The second written test (of about one hour) is a theoretical one. Before the second written test the student must communicate if he would take also the oral test. The oral test can be requested by the professor in case the first written test is unsatisfactory. The mark "cum laude" can get only with the oral test.