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Ask iit jee aieee pet cbse icse state board experts Discussion Response Post to: ROLLING WITHOUT SLIPPING
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elessar_iitkgp (2317)

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Olaaa!! Perrrfect answer. 397  [563 rates]

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Pure rolling can be studied as a combination of translational motion and rotational motion about CM.

In the translational part:
The velocity of each point of the wheel is same as the CM. So the lowermost point has a speed v rightwards.

In the rotational part,
Each point on the rim has a velocity r directed along the tangent. So the lowermost point has a velocity r directed leftward (Assuming clockwise rotation)

So the net velocity of the lowermost point is the sum of the forward velocity v and the backward velocity r . If v = r then the net velocity of the point of contact is v - r = 0.

For the topmost point, the velocities due to translation and rotation are in the forward directions. So they add up to v + r. If v = r then topmost point moves with speed 2v.



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