Complementi di Meccanica (Topics in Classical Mechanics)
Syllabus - 6 crediti - (Last update: April 2012)
Kinematics and Relative Motion.
An elementary introduction to tensor calculus. Application of the Ricci tensor to vector calculus. Motion on a plane in polar coordinates. Rotating vectors. Kinematical transformation from a rotating frame to an inertial system.
Point Mass Dynamics
Velocity dependent forces. Motion in a viscous fluid. Dumped oscillator. Oscillator driven by an external force. Resonance.
Coriolis force. Non inertial effects in the Earth rotating system.
Variable mass systems dynamics. Motion of a rocket.
Rigid Body Dynamics
Rotations around an arbitrary axis. Tensor of inertia. Giroscopic effects. Precession. Nutation. Roto-traslatory motion. Elastic and anelastic collisions among rigid bodies.
Gravitation
Gravitational potential energy. Centrifugal barrier. Bound states. Newtonian orbits.
Kepler laws. Tidal effects. Precession of the equinoxes.
Textbooks
Mazzoldi-Nigro-Voci, "Fisica" Vol.1 - EdiSES
A.Bettini - "Meccanica e Termodinamica" (volume I) - Ed. Zanichelli