Newtonian Dynamics 2

This unit expands on the concepts covered in Newtonian Dynamics 1 to include gravitational interaction and, more generally, the motion of a material point subjected to a central force. The statics and dynamics of rigid bodies are also covered.

Provide a solid foundation for studying the dynamics of a material point by using different reference frames to describe it. Understand the dynamics of systems as well as two-body collisions.

Point Dynamics

CT 100%

1) Gravitational Interaction:

Force, field, potential energy.

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

Properties of centripetal motion.

Kepler's Problem.

Kepler's Laws.

Impact parameter.

Two-body problem.

3) Statics of Rigid Bodies

Equilibrium condition; equilibrium of moments.

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.