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Question

A disc is rolling without slipping on a surface. The radius of the disc is $R$. At $t=0$, the top most point on the disc is $\mathrm{A}$ as shown in figure. When the disc completes half of its rotation, the displacement of point A from its initial position is

 

$R\sqrt {({\pi ^2} + 1)} $

$2R$

$R\sqrt {({\pi ^2} + 4)} $

$2R\sqrt {(1 + 4{\pi ^2})} $

Solution

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