One end of a thin rod is attached to a pivot, about which it can rotate without friction. Air re...

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One end of a thin rod is attached to a pivot, about which it can rotate without friction. Air resistance is absent. The rod has a length of \( 0.80 \mathrm{~m} \) and is uniform. It is hanging vertically straight downward. The end of the rod nearest the floor is given a linear speed \( v_{0} \), so that the rod begins to rotate upward about the pivot. What must be the value of \( v_{0} \), such that the rod comes to a momentary halt in a straight-up orientation, exactly opposite to its initial orientation?
(A) \( 6.9 \mathrm{~m} / \mathrm{s} \)
(B) \( 5.6 \mathrm{~m} / \mathrm{s} \)
(C) \( 4.7 \mathrm{~m} / \mathrm{s} \)
(D) \( 8.1 \mathrm{~m} / \mathrm{s} \)
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