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A disc of radius \( R \) rolls without slipping at speed \( v \) along positive \( x \)-axis. Velocity of point \( P \) at the instant shown in figure is
(1) \( \vec{v}_{p}=\left(v+\frac{v r \sin \theta}{R}\right) \hat{i}+\frac{v r \cos \theta}{R} \hat{j} \)
(2) \( \vec{v}_{p}=\left(v+\frac{v r \sin \theta}{R}\right) \hat{i}-\frac{v r \cos \theta}{R} \hat{j} \)
(3) \( \vec{v}_{p}=\frac{v r \sin \theta}{R} \hat{i}+\frac{v r \cos \theta}{R} \hat{j} \)
(4) \( \vec{v}_{p}=\frac{v r \sin \theta}{R} \hat{i}-\frac{v r \cos \theta}{R} \hat{j} \)
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