A particle is moving parallel to \( x \)-axis as shown in the figure such that at all instant th...

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A particle is moving parallel to \( x \)-axis as shown in the figure such that at all instant the \( y \)-component of its position vector is constant and is equal to \( b \). The angular velocities of the particle about origin is
(1) \( \frac{v}{b} \sin ^{2} \theta \)
(3) \( \frac{v}{b} \sin \theta \)
(4) \( v b \)
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