italian version

Aims :

To impart the basic elements of the mathematical foundations of Classical Mechanics.

Topics :

Vector calculus. Kinematics of the point mass: kinematic variables, plane motion and central motion; other types of motion. Kinematics of the systems of particles, rigid motion and relative motion. Fundamental principles of dynamics. Motion under gravity and oscillatory motion.
Statics and dynamics of the unconstrained point particle. Statics and dynamics of systems of particles with constrains.
Material geometry and dynamical variables of the systems of particles. Huygens’ theorem.
General theorems of the mechanics of the systems of particles. Balance equations. Analytical mechanics and Lagrangian mechanics. Stability and small oscillations.


Textbooks :

M. FABRIZIO, "Elementi di Meccanica Classica", Zanichelli Ed. 2002.
G. FROSALI, "Dispense di Meccanica Razionale", presso il Centro Fotocopie di Ateneo.
G. BORGIOLI, "Modelli matematici di evoluzione ed equazioni differenziali", Ed. Celid, 1996.
F. BAMPI, M. BENATI, A. MORRO, "Problemi di Meccanica Razionale", Ed. ECIG,Genova, 1988.

Exam :

Oral test.

Tutorial Session :

Office hours : Wednesday 10-15 and by appointment.