Question

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

• A. w = $\sqrt { \frac { \mathrm { g } } { \mu \ell } }$
• B. w = $\sqrt { \frac { \mu \mathrm { g } } { \ell } }$
• C. w = $\sqrt { \frac { \ell } { \mu g } }$
• D. w = $\sqrt { \frac { \mu \ell } { g } }$

Answer 1

Answer: (A)

w = $\sqrt { \frac { \mathrm { g } } { \mu \ell } }$

Answer 2

N = mlw² and f_L = mg

\ mmlw² = mg ̃ w = $\sqrt { \frac { \mathrm { g } } { \mu \ell } }$