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NEET 2002 (AIPMT) · Rolling Motion

Rolling Motion question from NEET 2002 (AIPMT)

Q89NEET 2002 · AIPMTMedium

Rolling Motion

A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (if radius of wheel is 1 m)

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Answer: (b)

In half a rotation the centre moves $\pi R$ forward, so P moves $\pi R = \pi$ m horizontally.
P goes from the bottom to the top of the wheel: vertical shift $2R = 2$ m.
Displacement $= \sqrt{\pi^2 + 2^2} = \sqrt{\pi^2 + 4}$ m.
So the answer is (b).

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