Newtonian Dynamics 1

This course introduces the basic concepts of Newtonian Dynamics by completing the notions on the dynamics of the material point seen in the General Physics course and by extending them to non-inertial reference frames, to the theory of collisions and to systems with variable mass. The basic notions of hydrostatics and perfect fluid dynamics will also be covered.

To provide a solid foundation for the study of the dynamics of the material point using different reference frames for its description. To understand the dynamics of systems as well as two-body collisions. 

Terminal control

1) Fluid Mechanics:

Notion of pressure, hydrostatic pressure, Archimedes' thrust, Bernoulli's theorem.

2) Dynamics of the material point :

Definition of momentum, Conservation of momentum.

Definition of the moment of force and angular momentum, angular momentum theorem.

Power and non-conservative forces (viscous).

Motion around an equilibrium, harmonic oscillator, damped, forced.

Potential energy of the harmonic oscillator, mechanical energy theorem.

3) Benchmarks and change of references

Galilean and non-inertial reference frame not in rotation.

Non-inertial reference frames in rotation.

Change of reference frames.

Centripetal, centrifugal and Coriolis acceleration.

4) Collision and variable mass systems

One-dimensional and multi-dimensional collisions

Explosions and jumps.

Oblique collisions.

Dynamics of a variable mass system.

5) System dynamics

Movement of the center of mass.

Reduced mass.