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Lesson 3 · Friction on the flat
The press, and friction's cut of it
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The press, and friction's cut of it

Friction charges by how hard two surfaces are pressed together: fk=μkNf_k = \mu_k N, read aloud f-k equals mu-k N, where μ\mu is the Greek letter mu, said “mew”. Three letters, three jobs: fkf_k is the kinetic friction force in newtons, NN is the normal force in newtons — the surface's perpendicular push back — and μk\mu_k is the coefficient of kinetic friction, a naked number with no unit at all, because it is a force over a force and everything cancels. The subscript names the state: k for kinetic, already sliding; s for static, still at rest.

On a LEVEL floor, and only there, N=mgN = mg: nothing accelerates vertically, so the floor's push back exactly matches the weight: mm in kilograms, g=9.8 m/s2g = 9.8\ \mathrm{m/s^2}. Grade 11 could get away with treating that as the definition of a normal force. It is not. It is one special case, and the next two lessons break it: tilt the floor and NN shrinks, press down on the crate and NN grows. Compute the normal force from the free-body diagram every single time, and this chapter cannot ambush you.

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 →
mW

W=mgW = m g

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

F=maF = m a

  • FF= Force (force)
  • mm= Mass (mass)
  • aa= Acceleration (acceleration)
Newton's Second Law solver →