AIMS AND CONTENT

LEARNING OUTCOMES

Basic knowledge in the field of mechanical systems. Understanding and using the framework of analytical mechanics for the resolution of various mechanical problems.

AIMS AND LEARNING OUTCOMES

At the end of the learing path the student will be able to:

- describe the dynamics of free and constrained systems of material points
- describe the dynamics of rigid bodies
- use the Euler-Lagrange equations to descrube those dynamics
- find equilibrium configurations of mechanical systems
- analyze the stability of equilibrium configurations of those systems

TEACHING METHODS

The course consits in 60 hours of lectures. During these lectures the lecturer will present the theory and some of its applications 

Students who hold valid certificates relating to Specific Learning Difficulties (SLD), disabilities or other educational needs are invited to contact the lecturer and the school’s disability liaison officer at the start of the course to agree on any teaching arrangements which, whilst respecting the course objectives, take into account individual learning styles. 

The contact details for the university’s disability liaison officer are available at the following link: https://unige.it/commissioni/comitatoperlinclusionedeglistudenticondisabilita. 

SYLLABUS/CONTENT

Introduction

Point Particle

•     Kinematics of a point particle
•     Mechanics of a free and constrained point particle

Mechanics and different observers

•     Observer, reference frames, derivatives and Poisson formula
•     Kinematics for different observers
•     Mechanics for different observers

    
Discrete systems

•     Third Newton principlie and internal forces
•     Balance of linear  and angular momentum
•     Center of mass

Rigid Body

•     Rigid body and distributions of velocities
•     Kinematics
•     Tensor of inerzia
•     Mechanics of the rigid body
•     Constrained rigid body

    
Analytical mechanics

•     Holonomic systems
•     Ideal constraints
•     Euler-Lagrange equations
•     Euler-Lagrange equations and balance equations

    
Introduction to the study of stability

•     Equilibrium configurations for mechanical systems and their stability
•     Approximation of small oscillations

RECOMMENDED READING/BIBLIOGRAPHY

Notes provided by the lecturer

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

https://easyacademy.unige.it/portalestudenti/index.php?view=easycourse&_lang=it&include=corso

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of an oral test about the topics covered during the course and it will be about both the theoretical aspects and the applications studed during the lectures.

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

ASSESSMENT METHODS

The oral exam aims to verify the level of knowledge achieved by the student and the ability to solve specific problems.

FURTHER INFORMATION

Students with valid certifications for Specific Learning Disorders (SLD) may request accommodations for exams at least 7 days prior to the exam date by filling out the “accommodation request form” (available via online services at https://modulionline.unige.it/richiesta-adattamenti# no-back), which will be automatically forwarded by the system to the instructor in charge of the course and to the faculty liaison for students with disabilities and SLDs in their School/Department. 

The student will receive a copy of their request.