FUNDAMENTALS OF MECHANICS
ACCADEMIC YEAR2008/2009
COD. 13469
dati insegnamento:
DEGREE: MATEMATICA
TYPE OF COURSE: COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
LECTURERS:
SPIGA Giampiero
ACADEMIC YEAR: 2008/2009
YEAR OF STUDY: 2
SEMESTER: Second semester
NUMBER OF CREDITS: 9
UNIT COORDINATOR: SPIGA Giampiero
CONTACT HOURS:
Learning outcomes of the course unit
Mathematical approach to classical mechanics from basic principles.
Mathematical methods for understanding, modelling and solving mechanical problems.
Prerequisites
First and second year mathematical tools.
Course contents summary
Vectors and tensors. Kinematics. Rigid motion. Fundamental principles of dynamics. First integrals, virtual work, equilibria. D'Alèmbert principle, Lagrange's equations. Rigid bodies and tensor of inertia. Stability and Dirichlet principle.
Recommended readings
M. Fabrizio, La meccanica razionale e i suoi metodi matematici, Zanichelli, Bologna.
A. Fasano, S. Marmi, Meccanica analitica, Boringhieri, Torino.
H. Goldstein, Meccanica classica, Zanichelli, Bologna.
