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Lesson 13 · Friction holds on
Friction's fraction
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Friction's fraction

Friction charges by how hard the surfaces press together: fk=μkNf_k = \mu_k N — read aloud f equals mu-k N, and μ\mu is the Greek letter mu, said “mew”. Three letters, three jobs: fkf_k is the friction force in newtons, NN is the normal force in newtons — the surface pushing back (on a level floor, exactly the weight) — and μk\mu_k 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: μs\mu_s guards things at REST (the breakaway ceiling, fs,max⁡=μsNf_{s,\max} = \mu_s N, the largest push the grip can still hold), and μk\mu_k rules the slide after. Static is usually the stronger grip — which is why the hardest part of moving a couch is the first centimetre.

Nfkμk

fk=μkNf_k = \mu_k N

  • fkf_k= Kinetic friction force (force)
  • μk\mu_k= Coefficient of kinetic friction
  • NN= Normal force (force)
Kinetic Friction Force (f = μₖN) solver →
Nfsμs

fs,max⁡=μsNf_{s,\max} = \mu_s N

  • fsf_s= Maximum static friction (force)
  • μs\mu_s= Coefficient of static friction
  • NN= Normal force (force)
Maximum Static Friction (f = μₛN) solver →
mW

W=mgW = m g

  • WW= Weight (force)
  • mm= Mass (mass)
Weight (W = mg) solver →