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What do we mean by the statement "Rolling with slipping"? I couldn't imagine this situation as a real life scenario.. I mean to say that if the body (say a solid sphere) is slipping , then how can it rotate at the same time ? If it will be rotating it won't be slipping . How can the two happen together?

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    $\begingroup$ Ever throw a bowling ball with some forward or backward spin? It takes a minute to for the linear movement of the ball to catch up with it's spin. same thing here. $\endgroup$
    – R. Rankin
    Commented Jul 22, 2017 at 10:15

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It is when there is relative movement between a rotating object and the ground at the point of contact so the condition

translational velocity $=$ radius of object $\times$ angular speed of object

is not satisfied.

Push down too hard on the accelerator pedal and the drive wheels of your car will spin with the car and produce a lot of smoke due to the tyres getting very hot because there is relative movement between the tyres and the road - slipping.

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