The Theoretical Mechanics course is a course in applied Mathematics, the link between the courses of pure Mathematics (Mathematical Analysis, Geometry) and of engineering contents (especially Applied Mechanics). The main objective of the course is to rigorously provide the basis of Kinematics, Statics and Dynamics, necessary to consciously and critically to learn the courses that characterize the Mechanics Engineering degree.
Mathematical Analysis, Geometry and Phisics I.
The contents of the Theoretical Mechanics course can be sumarized as follows: free vectors theory - planes curve - kinematics of the element - kinematics of the rigid body - relative kinematics - rigid plane motions - mechanics of the element - cardinal equations - applied vectors theory - mechanics of the rigid bodies - mechanics of the articulate 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 as the duplicate lecture notes provided by the lecturer, the following texts are recomended: P.G.Bordoni, "Lezioni di Meccanica Razionale" - G.Frosali,E.Minguzzi,"Meccanica Razionale per l'Ingegneria" - P.Biscari,T.Ruggeri,G.Saccomandi,M.Vianello,"Meccanica Razionale per l'Ingegneria" - P.Benvenuti, G Maschio, "Complementi ed esercizi di Meccanica Razionale".
The course 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 that are presented in the theoretical part of the course. The same type of exercises are proposed in the written examination.
The exam of the course of Theoretical Mechanics consists of a written examination and a subsequent oral examination. In some cases (the details of which will be outlined to the students during the lessons) the oral examination can be replaced by a short written test having theoretical subject.