A \( L \) shaped rod whose one rod is horizontal and other vertical is rotating about a vertical...

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A \( L \) shaped rod whose one rod is horizontal and other vertical is rotating about a vertical axis as shown with angular speed \( \omega \). The sleeve shown in figure has mass \( 2 m \) and friction coefficient between rod and sleeve is \( \mu \). The minimum angular speed \( \omega \) for which sleeve cannot slip on rod is
(1) \( \omega=\sqrt{\frac{g}{\mu l}} \)
(2) \( \omega=\sqrt{\frac{\mu g}{l}} \)
(3) \( \omega=\sqrt{\frac{l}{\mu g}} \)
(4) None of these
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