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Circular Motion

Why is it necessary to never allow brakes to lock up in order to successfully pull out of a skid on the ice?

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To understand the given situation, let us first understand the motion of a vehicle on a curved track. Fig.1 shows a vehicle of mass m traveling with a speed v on a circular track of mean radius R . As we know, for any object to move on a circular track, a force is required to act on it, directed towards the centre of the circular track (centripetal force). The magnitude of this force must be at least equal to mv^2/R. From where does this force come for motion of the vehicle on the circular track? Answer is - from friction between the tires and the track as explained hereunder.

To understand better, let us look at fig.2, which gives a view of the vehicle as seen from the ...

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