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Question

A vehicle is moving without slipping or skidding on a circular road, which is rough and banked. Then choose the correct option for the possible direction of friction

A
Up the incline
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B
Down the incline
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C
Both (a) and (b)
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D
None of the above
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Solution

The correct option is C Both (a) and (b)
The direction of friction will be dictated by direction of slipping of vehicle, since friction will act in a direction to oppose the slipping.

We know the equation for circular motion:
Fcentripetal=mv2r

If speed of vehicle( v) is very high, vehicle will tend to slip outwards. Since, to sustain a large speed, vehicle needs to move on a larger radius. So the frictional force will act down the incline to stop slipping.

However, if speed of vehicle( v) is on lower side, vehicle tends to slip down the incline. Hence, frictional force will be acting up the plane, to prevent slipping.

option (c) is correct.

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