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RATIONAL MECHANICS

CODE 104743
ACADEMIC YEAR 2022/2023
CREDITS
  • 12 cfu during the 2nd year of 8713 INGEGNERIA BIOMEDICA (L-8) - GENOVA
  • 12 cfu during the 2nd year of 8719 INGEGNERIA INFORMATICA (L-8) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/07
    LANGUAGE Italian
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 2° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    AIMS AND CONTENT

    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 

     

    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

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    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.

    Exam schedule

    Date Time Location Type Notes