Friction's fraction
Friction charges by how hard the surfaces press together: — read aloud f equals mu-k N, and is the Greek letter mu, said “mew”. Three letters, three jobs: is the friction force in newtons, is the normal force in newtons — the surface pushing back (on a level floor, exactly the weight) — and is the coefficient of friction, this course's first naked number: a force over a force, so every unit cancels. A coefficient carries none — if your μ ever wears newtons, a rearrangement upstream is lying to you.
The subscripts name the state, not a first-and-second: k is kinetic, already sliding, and s is static, still at rest. So two coefficients share the job: guards things at REST (the breakaway ceiling, , the largest push the grip can still hold), and rules the slide after. Static is usually the stronger grip — which is why the hardest part of moving a couch is the first centimetre.
- = Kinetic friction force (force)
- = Coefficient of kinetic friction
- = Normal force (force)
- = Maximum static friction (force)
- = Coefficient of static friction
- = Normal force (force)
- = Weight (force)
- = Mass (mass)