MATHEMATICAL PHYSICS
- Civil and Environmental Engineering 8715 (coorte 2019/2020)
- GENERAL PHYSICS 56686
- GEOMETRY 56721
- MATHEMATICAL ANALYSIS I 72290
- Civil and Environmental Engineering 8715 (coorte 2019/2020)
- GEOTECHNICS 99062
- URBAN PLANNING AND TRANSPORTATION ENGINEERING 84522
- HYDROLOGY & HYDRAULIC URBAN INFRASTRUCTURES 66097
- STRUCTURAL ENGINEERING I 72543
- STRUCTURAL MECHANICS II 66285
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
Ricevimento: By appointment: call the 010-353.6000 to schedule an appointment
Exam Board
FRANCO BAMPI (President)
ROBERTO CIANCI
CLAUDIO CARMELI (President Substitute)
LESSONS
Teaching methods
The course consists of lectures and exercises
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
| Date | Time | Location | Type | Notes |
|---|---|---|---|---|
| 17/06/2021 | 08:30 | GENOVA | Orale | Nel caso di sovrapposizione nella data del 14 gennaio 2021 con altro insegnamento obbligatorio dello stesso anno contattare il docente responsabile di questo insegnamento. |
| 08/07/2021 | 08:30 | GENOVA | Orale | Nel caso di sovrapposizione nella data del 14 gennaio 2021 con altro insegnamento obbligatorio dello stesso anno contattare il docente responsabile di questo insegnamento. |
| 16/09/2021 | 08:30 | GENOVA | Orale | Nel caso di sovrapposizione nella data del 14 gennaio 2021 con altro insegnamento obbligatorio dello stesso anno contattare il docente responsabile di questo insegnamento. |