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Meccanica Razionale (INF+MECC)
Mechanics
Lucio Demeio

Seat Ingegneria
A.A. 2015/2016
Credits 6
Hours 48
Period I
Language ENG

Prerequisites
Calculus 1 and 2, Algebra and Geometry, General Physics 1

Learning outcomes
The aim of the course is to provide students with tools of Lagrangian mechanics required in many scientific and technical applications.

Program
Vector calculus. Kinematics of the point mass: kinematic variables, plane motion and; other types of motion. Kinematics of the systems of particles, rigid motion and relative motion. Fundamental principles of dynamics. Motion under gravity and oscillatory motion. Statics and dynamics of the unconstrained point particle. Statics and dynamics of systems of particles with constrains. Material geometry and dynamical variables of the systems of particles. Huygens’ theorem. General theorems of the mechanics of the systems of particles. Balance equations. Analytical mechanics and Lagrangian mechanics. Some elements of equilibrium and stability theory.

Development of the examination
LEARNING EVALUATION METHODS
The exam consists of a written and an oral test: - the tests will concern the topics covered during the course offered in the same academic year; - registration to the first written test is mandatory, and has to be done on line on the university web page (the link is available on the teacher web page); - the written test consists of a number of problems and questions concerning all topics treated during the course; this test will last two or three hours, and the student will not be permitted the use of any kind of material, not even a pocket calculator; - a minimum score of at least 18/38 in the written test is required for the admission to the oral test; - the list of the names of the students admitted to the oral test will be published by the teacher on his web page; - the oral test will contain mainly theoretical questions, some of which may have to be formulated in written form, and may contain problems and exercises concerning course topics not covered in the written test or course topics in which the student may have shown weaknesses in the written test; - questions of general comprehension may be asked both in the written and in the oral test; - in the case of a successful written test, the student may sit for the oral test either in the same session or in the next available session, but not later; - in the case of a successful written test, but a not passing grade in the oral test, the student may try the oral test again in the next available session; in case of another failure, the student will have to sit for the whole exam again; - all written tests have to be correctly and fluently written, well organized, easily readable and with a negligible presence of corrections which must anyway not mar the esthetics of the text; - honor code: each student pledges that the written tests are entirely his/her own work and that no input from other students or sources has been used; demeanors which are deemed unfair or not in line with these principles entail the failing of the exam.

LEARNING EVALUATION CRITERIA
In order to pass the exam the student must demonstrate a good understanding of all topics and concepts covered during the course, and which will be published on line as ”Final program” or ”Exam program” at the end of the course, and to be able to use them in solving typical mechanics problems.

LEARNING MEASUREMENT CRITERIA
Assignement of a numerical score in the range 0-30.

FINAL MARK ALLOCATION CRITERIA
The final score will be given by the teacher on the basis of the score of the written test and of the level of knowledge and comprehension of the topics covered during the course.

Recommended reading
1) G. Frosali, E. Minguzzi, ”Meccanica Razionale per l'Ingegneria”, Ed.Esculapio; 2) M. FABRIZIO, Elementi di Meccanica Classica, Zanichelli Ed. 2002.

Courses

• Ingegneria Meccanica (Corso di Laurea Triennale (DM 270/04))
• Ingegneria Informatica e dell'Automazione (Corso di Laurea Triennale (DM 270/04))