Newtonian Dynamics 2

This EU extends the concepts covered in Newtonian Dynamics 1 to gravitational interaction and, more generally, to the motion of a material point subject to a central force. The statics and dynamics of rigid bodies are also covered.

Provide a solid foundation for studying the dynamics of material points using different reference frames for their description. Understand the dynamics of systems and two-body collisions.

Point dynamics

CT 100%

1) Gravitational Interaction:

Force, field, potential energy.

2) Motion of a material point subject to a central force:

Properties of central force motions.

Kepler's problem.

Kepler's laws.

Impact parameter.

Two-body problem.

3) Static rigid body

Condition of equilibrium, equilibrium of moments of force.

4) Rigid body dynamics

Definition of angular momentum, conservation of angular momentum.

Kinematics of translational and rotational motion.

Moment of inertia: expression of angular momentum and kinetic energy, example of moment of inertia.

Rotational dynamics of a rigid body.