CODE  60352 

ACADEMIC YEAR  2022/2023 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/07 
TEACHING LOCATION 

SEMESTER  1° Semester 
PREREQUISITES 
Prerequisites
You can take the exam for this unit if you passed the following exam(s):
Prerequisites (for future units)
This unit is a prerequisite for:

MODULES  This unit is a module of: 
TEACHING MATERIALS  AULAWEB 
Formative aims
A rigorous approach to Newtonian mechanics with applications to the motion of rigid systems. The basic methods of analytical mechanics to solve equilibrium and dynamic problems.
Technical skills
Ability to write potential and kinetic energies of mechanical systems with few degrees of freedom, to derive the differential equations of motion and the equilibrium conditions.
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
Office hours: On appointment
ADA ARUFFO (President)
PIERRE OLIVIER MARTINETTI (President)
LAURA BURLANDO
CRISTINA CAMPI
MAURIZIO CHICCO
MARC ALEXANDRE MUNSCH
SIMONE MURRO (President Substitute)
All class schedules are posted on the EasyAcademy portal.
A written test on technical skills and a successive spoken exam on theoretical issues.
The written test consists of a problem on rigid body mechanics where the following results are required: Equilibrium configurations and their stability; Differential equations of motion.
The objective of the spoken exam is to verify the student's knowledge about: Kinematics and dynamics of Newtonian systems; Lagrangian description of mechanical system with finite degrees of freedom.
Date  Time  Location  Type  Notes 

18/01/2023  09:00  GENOVA  Scritto + Orale  
15/02/2023  09:00  GENOVA  Scritto + Orale  
23/06/2023  09:00  GENOVA  Scritto + Orale  
18/07/2023  09:00  GENOVA  Scritto + Orale  
14/09/2023  09:00  GENOVA  Scritto + Orale 
Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.