automobile moves on a level horizontal road in a circle of radius 50 m. The coefficient of static friction between tires and road is 0.50. (a) Calculate the maximum speed with which this car can round this curve. Now, suppose the road is covered with ice, there is no friction. Instead, the road is banked. (b) Calculate the angle the road must be banked at in order to make the car round the curve with the same maximum speed.

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A: Since tana=v^2/rg. a=15' r=110m. Therefore -v=(tana×rg)^0.5. =17m/s

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.