MODULO DI MECCANICA RAZIONALE - 23056-1

courses
ID:
23056-1
Dettaglio:
SSD: Mathematical Physics Duration: 48 CFU: 6
Located in:
DALMINE
Url:
MECHANICAL ENGINEERING - 23-270/PERCORSO COMUNE Year: 2
Year:
2025
Course Catalogue:
https://unibg.coursecatalogue.cineca.it/af/2025?co...

Overview

Date/time interval

Primo Semestre (15/09/2025 - 20/12/2025)

Syllabus

Course Objectives

At the end of the course, the student knows the results of classical mechanics and the basic notions of analytical mechanics. He is able to use this knowledge to study motion and equilibrium for systems of rigid bodies.

Course Prerequisites

Course in "Mathematical Analysis I", course in "Geometry and Linear Algebra", course in "General Physics I".

Teaching Methods

The teaching is composed by lectures (32 hours), exercises (20 hours), and tutoring (12 hours). In all three activities the student is encouraged to participate with suggestions and proposals. If remote or blended teaching is necessary, some changes will be introduced, also for the exams.

Assessment Methods

The exam is made of two tests. The first one is a written test in which the solution of two exercices is required. The second test is a theoretical exam (written or oral) which, starting from a discussion on the first test, can concern the whole course program. To be admitted to the second test it is necessary to obtain at least 18/30 in the first test, whose results are published on the course web page. The date of the second test is communicated during the first test or on the course web page. It takes place approximately 7-14 days after the first one, and it is passed with a mark greater or equal to 18/30; the final mark is the average between the marks of the two tests.


Contents

  1. KINEMATICS OF PARTICLES AND OF RIGID BODIES. Particle kinematics. Relative kinematics. Kinematics of rigid bodies. Analysis of the field of velocity of a rigid body. Constrained systems. The rolling constraint.
  2. GEOMETRY OF MASSES. Center of mass. Inertia tensor. Mechanical quantities: linear momentum, angular momentum, and kinetic energy.
  3. MECHANICS OF SYSTEMS AND OF A RIGID BODY. Dynamics and statics of particle systems. Equivalent systems of forces. Conservative forces and conservation of energy. Rigid-body dynamics and statics.
  4. ANALYTICAL MECHANICS. Ideal constraints and virtual work. Virtual work principle. Principle of stationary potential energy. Lagrange's equations. Stability and small oscillations.

Online Resources

Degrees

Degrees

MECHANICAL ENGINEERING - 23-270 
Bachelor's Degree
3 years
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People

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Main module

Rational MechanicsMechanics of Materials and Structures