CODE 60354 ACADEMIC YEAR 2018/2019 CREDITS 6 cfu anno 2 INGEGNERIA CIVILE E AMBIENTALE 8715 (L-7) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES The course provides mathematical methods for describing mechanical systems. In particular the motion of systems with many degrees of freedom is studied and the properties of the center-of-mass of continuous systems are analyzed. Rigid body, moments of inertia and specific rigid body motions are analyzed in details. AIMS AND LEARNING OUTCOMES The analysis of the behavior of a machanical (but also electrical) system needs the recourse to mathematical methods. It is the purpouse of this course providing the mathematical tools which are relevant to the study and to the description of mechanical systems. The course starts from the most simple mechanical system, the so called mass-point model, and proceeds with systems having many degrees of freedom with a view to arriving at the rigid body which is examined in datails. Precisely the course provides a technical approach to moments of inertia and analyzes specific rigid body motions. The last chapter is dedicated to the study of the equilibrium of a wire under various hypothesis on the distribuited force. It is remarkable that all the machanical situations analized in the course, although all the systems are continuous systems, are governed by ordinary differential equations. TEACHING METHODS The course consists of lectures and exercises SYLLABUS/CONTENT Elements of vector calculus. Kinematics and relative kinematics. Dynamics and statics of material points. Cardinal equations. Center of mass. Conservation laws. Energy theorem. Mechanics of the rigid body. Moments of inertia. Rigid body with a fixed axis, a fixed point, without contraints. Statics of wires RECOMMENDED READING/BIBLIOGRAPHY F. Bampi, C. Zordan, Lezioni di Meccanica Razionale, Ecig, Genova, 1998. F. Bampi, M. Benati, A. Morro, Problemi di Meccanica Razionale, Ecig, Genova, 1992. TEACHERS AND EXAM BOARD FRANCO BAMPI Ricevimento: By appointment: call the 010-353.6000 to schedule an appointment Exam Board FRANCO BAMPI (President) CLAUDIO CARMELI LESSONS Class schedule MATHEMATICAL PHYSICS EXAMS EXAM DESCRIPTION The examination consists of an oral test ASSESSMENT METHODS The assessment of what a student has learned is realized through an oral examination which consists in two questions regarding the content of the whole course. The students are also provided with the list of all the questions (about fifty) that will be the subject of the oral examination. Exam schedule Data appello Orario Luogo Degree type Note 17/01/2019 08:30 GENOVA Orale 07/02/2019 08:30 GENOVA Orale 25/02/2019 08:30 GENOVA Orale 20/06/2019 08:30 GENOVA Orale 11/07/2019 08:30 GENOVA Orale 05/09/2019 08:30 GENOVA Orale
