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Question

A car travels at a constant speed of 30 m/s around a level circular bend of radius 100 m. What is the minimum coefficient of static friction between the tires and the road in order for the car to go round the bend without skidding?

A
0.8
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B
0.9
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C
0.7
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D
0.55
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Solution

The correct option is B 0.9
Frictional force will be the only source of necessary centripetal force.
For finding minimum μs, friction should be acting at its limiting value
fmax=μsminmg.............(1)

Equation of dynamics
fmax=mv2r=μsminmg............(2)


μsmin=v2gr=30210×100=9001000
or μsmin=0.9

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