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

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Solution

Q.
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 A, as shown in the figure. When the disc completes half of its rotation, the displacement of point A from its initial position is [2023]

1 $R \sqrt{(π^{2} + 4)}$

2 $R \sqrt{(π^{2} + 1)}$

3 $2 R$

4 $2 R \sqrt{(1 + 4 π^{2})}$

Ans.
(1)

$Displacement = \sqrt{{(2 R)}^{2} + (π R^{2})} = R \sqrt{4 + π^{2}}$

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