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A smooth inclined plane fixed in a car accelerating on a horizontal road is shown in figure. The angle of incline  is related to the acceleration a of the car as a = g tan  . If the sphere is set in pure rolling on the incline

1. it will continue pure rolling
2. it will slip up the plane
3. its angular velocity will increase
4. its angular velocity will decrease.

Correct answer: it will continue pure rolling

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