CODE 60352 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 2 INGEGNERIA CHIMICA E DI PROCESSO 10375 (L-9) - GENOVA 6 cfu anno 2 INGEGNERIA ELETTRICA 8716 (L-9) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICAL ANALYSIS II AND PHYSICS TEACHING MATERIALS AULAWEB AIMS AND CONTENT AIMS AND LEARNING OUTCOMES 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. TEACHING METHODS Lectures on the theoretical contents with applications and exercises. SYLLABUS/CONTENT INTRODUCTION MASSIVE POINT Kinematics of the massive point Mechanics of the free and constrained point RELATIVE MECHANICS Derivation and observer, Poisson formula Relative kinematics Relative mechanics DISCRETE SYSTEMS Newton third principle and internal forces Equation for the cinetic and angolar momenta Center of mass RIGID BODY RIgidity constraints and the law of distribution of velocities Kinematics Operator of inertia Mechanics of the rigid body Constrained rigid body ANALITICAL MECHANICS Olonomous systems D'Alembert principle Euler-Lagrange equation Eulero-Lagrange equation and cardinal equations. INTRODUCTION TO STABILITY THEORY Equilibrium and stability for mechanical systems Small oscillations RECOMMENDED READING/BIBLIOGRAPHY Lecture notes by the teacher Valter Moretti: "Meccanica Analitica: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity" TEACHERS AND EXAM BOARD NICOLO' DRAGO Ricevimento: On appointment MARCO BENINI Ricevimento: By appointment. LESSONS Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Written exam followed by oral examination Agenda 2030 - Sustainable Development Goals Quality education Gender equality