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Dry Friction

​
t
30.
m
1.
c
1.
F
0
1.
v
0
0.5
x(0)
1.297
x'(0)
0.5
The phenomenon of dry friction (or Coulomb friction) occurs when the surfaces of two dry, unlubricated solids move past one another. The plots illustrate a model for dry friction: a mass
m
attached to a spring with stiffness
c
moves over a continuous belt traveling at constant speed
v
0
, with the frictional force
F=
F
0
sgn(
v
0
-
′
x
)
. The position of the mass is shown as a function of time
t
and also plotted against
x'(t)
. The effect of dry friction on machine operation is an important consideration in mechanical engineering.
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