#### Mechanics

Mechanics is the study of rigid body motion. There are 2 levels on which one may enter classical mechanics.

- Newton's laws.
- Lagrangian and Hamiltonian mechanics

The first is great for one-dimensional motion and non-relativistic planetary
motion. The second is much more powerful. The generalized
coordinates and canonical equation of motion allow derivation of complex system
much more efficiently than using Newton's laws. It is also in the second
formulation in which you would come across the D'albert principle, "the sum of the differences between the forces acting on a system and the time derivatives of the momenta of the system itself along any virtual displacement consistent with the constraints of the system, is zero".

Here are a few of the more fundamental problems in classical mechanics:

- Static forces and torques -
Ladder against a wall
solution
- 1D kinematics -
Parked Nissan GTR
solution
- Rotational Motion -
Freestyle skier flipping into a tuc position
solution
- Harmonic Motion -
Damped driven oscillator
solution
- 2D Kinematics -
Airplane Bomb
solution
- Non-conservative forces -
Friction of box on an incline
solution
- Collisions - Bullet into block attached to spring
solution
- Gravity - Conical intersections of incoming asteroid
solutions
- Non-linearity -
Pendulum starting from very high
solution
- Air Drag - Homerun in Colorado vs. Houston
solution

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