A long horizontal rod has a bead which can slide along its length… - Vidyadip

MCQ

A long horizontal rod has a bead which can slide along its length, and initially placed at a distance $L$ from one end $A$ of the rod. The rod is set in angular motion about $A$ with constant angular acceleration $\alpha$. If the coefficient of friction between the rod and the bead is $\mu$, and gravity is neglected, then the time after which the bead starts slipping is

✓
$\sqrt{\frac{\mu}{\alpha}}$
B
$\frac{\mu}{\sqrt{\alpha}}$
C
$\frac{1}{\sqrt{\mu \alpha}}$
D
Infinitesimal

✓

Answer

Correct option: A.

$\sqrt{\frac{\mu}{\alpha}}$

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