Friction and Contact Area
It is an empirical fact for many materials that F = μN, where F is the frictional force for sliding friction, μ is the coefficient of friction, and N is the normal force. There isn't a simple derivation for sliding friction's independence from area.
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Famous quotes containing the words friction and, friction, contact and/or area:
“We have got onto slippery ice where there is no friction and so in a certain sense the conditions are ideal, but also, just because of that, we are unable to walk. We want to walk so we need friction. Back to the rough ground!”
—Ludwig Wittgenstein (18891951)
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—William Howard Taft (18571930)
“Whatever my own practice may be, I have no doubt that it is a part of the destiny of the human race, in its gradual improvement, to leave off eating animals, as surely as savage tribes have left off eating each other when they came in contact with the more civilized.”
—Henry David Thoreau (18171862)
“The area [of toilet training] is one where a child really does possess the power to defy. Strong pressure leads to a powerful struggle. The issue then is not toilet training but who holds the reinsmother or child? And the child has most of the ammunition!”
—Dorothy Corkville Briggs (20th century)