The main objective of this module is a rational approach to the following issues:
1) Kinematics of matererial point by a geometrical description of spatial curves.
2) Equilibrium and dynamics of discrete or continuum material systems using cardinal equations of mechanics
3) Inertial èproperties of material systems
4) A Lagrangian description by the introduction of free coordinates for system subject to constraints and the role of first integrals.
5) Equilibrium and stability by analytical approaches.
The module aims to give some technical skills on the following problems:
1) KInematical and dynamical description of a system subject to constraints
2) Computation of kynetic anf potential enrgies by the Lagrangian formalism and the derivation of differential equations of motion
3) Computation of equilibrium configurations of a mechanical system and a discussion on their stability.
At the end of the course the student can arrive at the following results:
1) The knowledge of the algebraic and analytical tools necessary to the description of motion.
2) Understanding the main mathematical techniques relating linear momentum, angular momentum and energy to the inertial and dynamical properties of a mechnical system.
3) The ability to analize a mechanical systems subject to given loads and constraints, achieving results on the equilibrium conditions and obtaining the differential equations of motion, also recognizing possible first integrals.
Lectures on the theoretical contents with applications and exercises.
INTRODUCTION MASSIVE POINT
RELATIVE MECHANICS
DISCRETE SYSTEMS
RIGID BODY
ANALITICAL MECHANICS
INTRODUCTION TO STABILITY THEORY
EDOARDO MAININI (President)
LAURA BURLANDO (President Substitute)
NICOLO' DRAGO (President Substitute)
