AIMS AND CONTENT

LEARNING OUTCOMES

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.  

TEACHING METHODS

Lectures with applications and exercises.

SYLLABUS/CONTENT

Vector functions and smooth curves. Kinematics, absolute and relative motions. Dynamics of a material point, equation of motion and equilibrium. Forces and constraints. Systems of bound vectors and mechanics of material systems. Cardinal equations. Center of mass. Rigid motions and mechanics of rigid bodies. Inertial operator. Rigid body with a fixed axis or with a fixed point. Analytical mechanics, ideal constraints, holonomic systems and Lagrange equations. Kinetic moments and first integrals. Equilibrium and stability for holonomic systems.  Harmonic modes near stable equilibrium configurations.

RECOMMENDED READING/BIBLIOGRAPHY

• Lecture notes by the teacher (Italian and English versions on the website AulaWeb)
• Bampi F., Benati M., Morro A., Problemi di Meccanica Razionale, Ecig (Genova)
• Bampi F. e Zordan C., Lezioni di Meccanica Razionale, Ecig (Genova)
• Goldstein H., Meccanica Classica, Zanichelli (Bologna, 1971)
• Levi M., Classical mechanics with calculus of variations and optimal control - An intuitive introduction. AMS (USA, 2014)

TEACHERS AND EXAM BOARD

Exam Board

MAURIZIO ROMEO (President)

MAURO BENATI

CLAUDIO ESTATICO

ANGELO MORRO

CLARA ZORDAN

LESSONS

LESSONS START

September 19, 2016

Class schedule

MATHEMATICAL PHYSICS 1

EXAMS

EXAM DESCRIPTION

A  written test on technical skills  and a successive spoken exam on theoretical issues.

ASSESSMENT METHODS

The written test consists of a problem on rigid body mechanics

Exam schedule