Rational and statistical mechanics

Learning objectives

The aim of the course consists in the construction and rigorous discussion of the mathematical models of classical mechanics.

• Knowledge and understanding: at the end of the course the student will have the basic knowledge of rational mechanics.
• Ability to apply knowledge and understanding: at the end of the course the student will be able to apply this knowledge to problems of rational mechanics.
• Making judgments: at the end of the course the student will be able to autonomously recognize the descriptive approaches and methods to the various problems of Rational Mechanics.
• Communication skills: at the end of the course the student will be able to relate orally on the topics presented in the course with an appropriate technical language and a correct mathematical formalism.
• Learning skills: the study will allow the development of autonomous learning skills and the in-depth study of topics related to those presented in the course.

Course content

Contents:

• Point and rigid body kinematics.
• Lagrangian coordinates and configuration space.
• Work and Force Systems.
• Geometry of masses: center of gravity and moment of inertia.
• Kinetic energy and momentum of momentum.
• Cardinal equations of dynamics and statics.
• Balance and stability.
• Lagrange equations.
• Notes on continuum mechanics.

Teaching methods:
Lectures and classroom exercises

Prerequisites

Mathematical Analysis I and II – Linear Algebra – Physics I

Bibliography

Notes by the teacher

Assessment methods and criteria

Written exam consisting of theory questions from an exercise divided into several points