In the figure shown, the instantaneous speed of end \( A \) of the rod is \( v \) to the left. T...

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In the figure shown, the
instantaneous speed of end \( A \) of
the rod is \( v \) to the left. The angular
velocity of the rod of length \( L \)
must be
(1) \( \frac{v}{2 L} \)
(2) \( \frac{v}{L} \)
(3) \( \frac{v \sqrt{3}}{2 L} \)
(4) none of these
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