Università Roma Tre

-Mechanics of a material particle
ODE homogeneous and non-homogeneous
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

-Mechanics of systems of particles
Internal forces
Conservation of momentum
Conservation of angular momentum
Kinetic energy, Koenig’s theorem

-Kinematics of rigid-body motion
Two-dimensional rigid-body motion
Instant centre of rotation
Three-dimensional rigid-body motion

-Galilean relativity
Kinematics in non-inertial frames of reference
Dynamics in non-inertial frames of reference, fictitious forces
Classes of frames of reference
Derivative of vectors in moving frames of reference

-Dynamics of rigid bodies
Dynamics
Conservation of momentum and angular momentumInertia tensor
Ellipsoid of inertia
Koenig’s theorem
Euler equations
Rotation about central axes

-Elements of Lagrangean mechanics
Virtual displacements
Virtual work
Lagrange-Euler equations

-Lecture notes with solved problems
-Beer, Johnston, "Vector Mechanics for Engineers", McGraw-Hill
-Benvenuti, Maschio, “Complementi ed esercizi di Meccanica Razionale", Ed. Kappa