Environmental Engineering for Sustainable Development

General learning outcomes The class in Meccanica Razionale has a twofold aim: provide the students with the methods necessary to approach the study of constrained mechanical systems, in particular rigid body systems, and show how a rigorous mathematical formalism can be fully integrated within a physical theory enabling its full and deep rigorous understanding. Specific learning outcomes Knowledge and understanding skill The students learn the theory of Euclidean spaces motion (relative motion), the kinematics and the dynamics of systems of rigid bodies, the Lagrangian approach to the study of ideal holonomic constrained systems. Moreover, the students will learn how to cast a mechanical problem in a mathematical model via the ordinary differential equation theory. Applying knowledge and understanding skill The class completed, the student will be able to deal with systems of rigid bodies and, in the case of ideal holonomic constraints, write the equation of motions sufficient to the description of all the possible motions of the system. Moreover, the student will have learnt the methods to detect the equilibrium position of the system and to study their stability character. Communication skill The students practice their communication skills during the final oral exam, in which they have to provide a mathematically rigorous treatment of relevant aspects of an involved physical theory. Learning skill The student practice his self-learning skills by tackling and solving many different physical problems. The student, indeed, has to attack a physical problem on his own trying, first, to recast the problem using the correct mathematical modelling and, then, studying analytically and qualitatively the equations he found.