A bead of mass \( m \) is free to slide on a fixed horizontal circular wire of radius \( R \). A...

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A bead of mass \( m \) is free to slide on a fixed horizontal circular wire of radius \( R \). At time \( t=O \), it is given a velocity \( v_{0} \) along the tangent to the circle. If the coefficient of kinetic friction between the bead and the wire is \( \mu_{k^{-}} \). Then magnitude of tangential acceleration at \( t=0 \) will be
(1) \( \mu_{k} g \)
(2) \( \mu_{k} \frac{v^{2}}{R} \)
(3) \( \frac{\mu_{k}}{R} \sqrt{v^{2}+g^{2} R^{2}} \)
(4) \( \mu_{k}\left[g+\frac{v^{2}}{R}\right] \)
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