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Question

Physics Question on Surface tension

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 figure. When the disc completes half of its rotation, the displacement of point A from its initial position is

Rolling Disc

A

2R1+4π22R\sqrt{1+4π^2}

B

2R

C

Rπ2+1R\sqrt{π^2+1}

D

Rπ2+4R\sqrt{π^2+4}

Answer

Rπ2+4R\sqrt{π^2+4}

Explanation

Solution

The correct option is(D): Rπ2+4R\sqrt{π^2+4}