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irina irina
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11 years ago
A flat (unbanked) curve on a highway has a radius of 180m. A car rounds the curve at a speed of 26m/s. What is the minimum coefficient of friction that will prevent sliding?

Please provide equation and explanation so I understand how to do it. Thank you!
I used mu_s= v^2/R but that doesnt give me the minimum.
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leonleon
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11 years ago
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#2
11 years ago
Awesome.
Let's set Frictional Force = Centripedal Force
mu x g = v^2/R... I see you got that too!
Now is the understanding part
The minimum frictional coefficient would result in the smalled possible force to still round the curve.
Any surface with a coefficient higher than what mu is would easily allow the car to round the curve
Anything lower and the car just couldn't make it.
So mu is in fact the lowest possible.
mu = 26^2 / ( 180 x 10 )
irina Author
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#3
10 years ago
Thx!
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