Portale di Ateneo - En.Unibs.it

1. Kinematics

Motion, velocity and acceleration of a point particle: central and plane motions. Holonomic constraints and systems of particles. Kinematics of rigid bodies, Mozzi's theorem. Relative motions. Plane rigid motions.

2. Principles and fundamental laws

Mass, force, and Newton's laws. Inertial frames. Typical force fields, work. The Principle of virtual work for reactions of constraints. The principle of mechanical energy conservation. Conservative force fields and potentials.

3. Geometry of masses

Properties of applied vectors. Properties of the center-of-mass. The balance principles of linear and angular momentum. The kinetic energy balance. Koenig's theorems for kinetic energy and angular momentum. Kinetic energy and angular momentum of a rigid body. Properties of the inertia tensor. Huygens-Steiner's theorem.

4. Statics and Dynamics of constrained material bodies

Statics of constrained rigid bodies. Dynamics of constrained material bodies. Equations of motion of a rigid body spinning around a fixed axis.

5. Canonical mechanics and qualitative dynamics

D'Alembert's principle. Statics and dynamics of holonomic systems. Lagrange equations. Elements of stability of equilibrium.