A body moves in a circle of radius \( \mathrm{R} \) having centre a...

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A body moves in a circle of radius \( \mathrm{R} \) having centre at origin, with an angular velocity \( \omega \) in the
\( \mathrm{P} \) \( x-y \) plane as shown in the figure. Another body

W moves parallel to \( y \)-axis with constant velocity \( (\mathrm{R} \omega / 2) \). At time \( t=0 \), both particles are at \( (\mathrm{R}, 0) \). The value of time \( t \), when first body has velocity only along positive \( \mathrm{x} \)-axis w.r.t. the second body is
(1) \( \pi / 6 \omega \)
(2) \( 5 \pi / 3 \omega \)
(3) \( 5 \pi / 6 \omega \)
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