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 pos

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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

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Correct answer: B. R &#960; 2 + 4

The displacement is the hypotenuse of the diameter and the distance travelled for half the rotation &#960; R . By using Pythagoras theorem, Displacement of A = ( 2 R ) 2 + ( &#960; R ) 2 = R &#960; 2 + 4

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

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