ï»¿ What is the displacement of a point on the wheel of radius R initially in contact with ground when the wheel rolls forward half a revolution? from Physics Motion in A Plane Class 11 Manipur Board

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What is the displacement of a point on the wheel of radius R initially in contact with ground when the wheel rolls forward half a revolution?

Given,Â

Radius of the wheel = RÂ

When half revolution is made by the wheel, the point of contact moves from point A to C and hence undegoes the displacementÂ Â

Distance displaced by the point of contact, AB = Â

Perpendicular distance traversed by the body = 2R

Therefore, total distance,Â

andÂ Â

Thus the point of contact undergoes the displacement of magnitudeÂ Â making an angleÂ Â with the ground.

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