A tire of radius R rolls on a flat surface with angular velocity ω and velocity v as shown in the diagram. If v ω R , in which direction does friction from the tire act on the road?

Question

A tire of radius R rolls on a flat surface with angular velocity ω and velocity v as shown in the diagram. If v > ω R , in which direction does friction from the tire act on the road?

TestHub · Accepted Answer

The solution of this question can simply be understood by taking a situation of car driver, where at higher speed he applies sudden brakes, i.e. $v > ω r$ and the tire rubs the road and we have rolling with forwards slipping i.e. friction acting in opposite direction of $v .$ (towards left in the above situation.) Friction force on the tire is towards right and on the road is towards left.

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