Question

A L shaped rod whose one rod is horizontal and other is vertical is rotating about a vertical axis as shown with angular speed w. The sleeve shown in figure has mass m and friction coefficient between rod and sleeve is m. The minimum angular speed w for which sleeve cannot sleep on rod is –

• A. $\omega = \sqrt{\frac{g}{\mu\mathcal{l}}}$
• B. $\omega = \sqrt{\frac{\mu g}{\mathcal{l}}}$
• C. $\omega = \sqrt{\frac{\mathcal{l}}{\mu g}}$
• D. None

Answer 1

Answer: (A)

$\omega = \sqrt{\frac{g}{\mu\mathcal{l}}}$

Answer 2

as f = mN = mg

or, mmlw² = mg

Ž w = $\sqrt{\frac{g}{\mu\mathcal{l}}}$