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W
A string of length \( l \) is fixed at one end and carries a mass \( m \) at the other end. The string makes \( 2 / \pi \) rps around a vertical axis through the fixed end so that the mass moves in the horizontal circle What is the linear speed of the mass?
(A) \( 4 l\left[1+\left(\frac{g}{16 l}\right)^{2}\right]^{\frac{1}{2}} \)
(B) \( 4 l\left[1-\left(\frac{g}{16 l}\right)^{2}\right]^{\frac{1}{2}} \)
(C) \( 4 l\left[1+\left(\frac{g}{4 l}\right)^{2}\right]^{\frac{1}{2}} \)
(D) \( 4 l\left[1-\left(\frac{g}{4 l}\right)^{2}\right]^{\frac{1}{2}} \)


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