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On a banked road, due to its inclination the vehicle tends to remain inwards without any chances of skidding

Question

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Solution

On a banked road, the inclination or banking of the road provides a component of the normal force exerted by the road on the vehicle towards the center of the circular path. This component of force helps the vehicle to make a turn safely without skidding or slipping.

Here are the steps to understand this:

  1. When a vehicle moves on a flat road, the force of friction between the tires and the road surface provides the necessary centripetal force for the vehicle to make a turn.

  2. However, when the vehicle moves at high speeds or the road is wet or icy, the frictional force may not be sufficient to provide the necessary centripetal force. This can cause the vehicle to skid or slip.

  3. To prevent this, roads are often banked or inclined at an angle. This inclination provides a component of the normal force in the horizontal direction towards the center of the circular path.

  4. This component of the normal force adds to the frictional force to provide a greater total centripetal force. This allows the vehicle to make a turn at higher speeds or under slippery conditions without skidding or slipping.

  5. Therefore, due to the inclination of a banked road, the vehicle tends to remain inwards without any chances of skidding.

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