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A rod \( \mathrm{AB} \) of length \( \mathrm{L} \) slides in the \( \mathrm{XY} \) plane. If the rod makes an angle \( \theta \) with the vertical, the angular velocity of the rod can be found by an expression which is
(1) Dependent upon length of the rod and on linear velocity of end \( A \) of the rod at the instant.
(2) Dependent upon \( \mathrm{L} \) and \( \theta \) at that instant.
(3) Independent of velocity of end A of rod at that instant.
(4) Dependent upon L, \( \theta \) and velocity of end A of rod at that instant.
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