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Q. A point P on the rim of a wheel is initially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5m and the wheel rolls forward through half a revolution:

KEAMKEAM 2001

Solution:

Net displacement $ s=\sqrt{(\pi {{r}^{2}})+{{(2r)}^{2}}}=\sqrt{{{(\pi \times 5)}^{2}}+{{(2\times 5)}^{2}}} $
$ =5\sqrt{{{\pi }^{2}}+4} $

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