How Does the Lorentz Force Fit into Classical Electromagnetism?

[eemaestro]

I thought in classical physics, only four forces account for all mechanics:

1 gravitational attraction
2 electromagnetic force
3 nuclear strong force
4 nuclear weak force

There is also a Lorentz force on a charged particle moving through a magnetic field. How does classical EM account for this force? It does not fall in one of the above categories. I must be missing something important. What?

 

[dicerandom]

If you mean what I think you mean, the Lorentz force falls under the electromagnetic force. They just call it the Lorentz force equation for historical reasons. For reference, this is the equation I'm thinking of:

$$\vec{\mathbf{F}} = q \left( \vec{\mathbf{E}} + \vec{\mathbf{v}} \times \vec{\mathbf{B}} \right)$$