Teaching - Università Roma Tre

(objectives)

Code

20810301

Language

ITA

Type of certificate

Profit certificate

Credits

6

Scientific Disciplinary Sector Code

MAT/07

Contact Hours

54

Type of Activity

Basic compulsory activities

Teacher	IEMMA UMBERTO (syllabus) Teaching unit I – Fundamental tools and methods Elements of vector algebra Rotation matrix ODE homogeneous and non-homogeneous Spectral analysis of symmetric matrices Eigenvalues problem and diagonalization Conservative, potential and irrotational vector fields Teaching unit II – Mechanics of a material particle Fundamental properties of the motion of a particle Dynamics of free and constrained material elements Un-damped and damped oscillators Mechanical work, power and energy Stabilty of mechanical equilibrium Teaching unit III – Mechanics of systems of particles Internal forces Conservation of momentum Conservation of angular momentum Kinetic energy, Koenig’s theorem Teaching unit IV – Rigid-body motion and Galilean relativity Two- and Three-dimensional rigid-body motion Kinematics in non-inertial frames of reference Dynamics in non-inertial frames of reference, fictitious forces Derivative of vectors in moving frames of reference Trasformazioni tra riferimenti in moto relativo Derivata temporale di R Teaching unit V – Statics and dynamics of rigid bodies Dynamics Conservation of momentum and angular momentum Inertia tensor Ellipsoid of inertia Koenig’s theorem Euler equations Rotation about central axes Gyroscopes and precessions Statics Equivalent forces Central axis of a system of forces Constraints reactions Graphic methods for the analysis of equilibrium Teaching unit VI – Elements of Lagrangean mechanics (reference books) • Lecture notes with solved problems
Dates of beginning and end of teaching activities	From 18/09/2023 to 22/12/2023
Delivery mode	Traditional
Attendance	not mandatory
Evaluation methods	Written test Oral exam