Students will have to acquire knowledge of the main methods of Rational Mechanics and must be able to solve problems in statics and dynamics of rigid and articulated systems in the plane and in the space. D1 - Knowledge and understanding At the end of the course, students will have to know the principles and methods of Rational Mechanics. D2 - Ability to apply knowledge and understanding Students must be able to carry out kinematic analysis and dynamics of a rigid and/or articulated mechanical model in the plane and in the space. D3 - Independence of judgement Students must be able, by choosing between the various possibilities, to kinematically and dynamically describe a mechanical model. D4 - Communication skills Students must be able to explain and justify the principles and the methods of Rational Mechanics with language properties. D5 - Learning ability Students will need to be able to distinguish rigid models from the deformable ones, in view of the subsequent Science course Constructions.

Content of the following courses: Analisi I e II, Algebra Lineare e Geometria, Fisica I.

1) Material systems, constraints, holonomic sistems 2) Principle of virtual works 3) Cinematic of rigids 4) Force fields, conservative forces 5) Cardinal Equations of Static equations 6) Inertia transformation 7) Equations of dynamics

Two lecture notes of professor Maura Ughi available on the Teams page of the course.

1) Material systems, constraints, holonomic systems (Superposition of constraints, hypostatic, isostatic and hyperstatic systems, articulated systems and trusses, classification of forces acting on a material system) 2) Principle of Virtual Works (Material systems subject to weight alone, P.V.W. for systems with regular degrees of freedom, In-depth study on virtual displacements with application to the independence conditions for constraints) 3) Kinematics of rigid bodies (Poisson's theorem, virtual displacements of the points of a rigid body, virtual work of a system of forces applied to a rigid body and consequences, smooth constraints and application of the P.V.W. to isostatic systems) 4) Force Fields, Conservative Forces (Equilibrium of holonomic systems with 1 degrees of freedom subject to conservative forces) 5) Cardinal Equations of Statics (Application to the Statics of Rigids, Applications to the Statics of Articulated Systems) 6) Inertia transformation (Study of the inertia transformation relative to a fixed point, Principal Axes of Inertia, Properties of the principal axes of inertia relative to the center of mass) 7) Equations of dynamics (D'Alembert's principle, kinetic energy and angular momentum for rigid bodies)

Face-to-face lectures supported by a digital tablet. The instructor uses digital tools to present content, guide the solution of exercises, and interact with the class.

Written final exam. The final exam will test knowledge of the various techniques explained in class and the capacity to apply theory and methods to solve problems. This problems are modelled on previous exams. Each enrolled student has a written exam. A grade inferior to 18/30 is considered insufficient.

This course explores topics closely related to one or more goals of the United Nations 2030 Agenda for Sustainable Development (SDGs)