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Two points P and Q, diametrically opposite on a disc of radius R have linear velocities v and 2 v as shown in figure. Find the angular speed of the disc.

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(2) $\frac{v}{8 R}$

(3) $\frac{v}{2 R}$

(4) $\frac{v}{R}$

(1) $\frac{v}{5 R}$

answer is C.

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Detailed Solution

$ω = \frac{v_{r}}{PQ} = \frac{2 v - v}{2 R} = \frac{v}{2 R}$

Rotation is clockwise. So, $ω$ is perpendicular to paper inwards.

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