question_answer

When force F acts on side of hexagonal body for what range of coefficient of friction will body topple?

A) \[\mu >\frac{1}{2\sqrt{3}}\]                       

B) \[\mu <\frac{1}{2\sqrt{3}}\]

C) \[\mu >\frac{\sqrt{3}}{2}\]                         

D) \[\mu <\frac{\sqrt{3}}{2}\]

Correct Answer: A

Solution :

\[F\times \sqrt{3}a\,mg\frac{a}{2}=0\] \[F\times \frac{mg}{2\sqrt{3}}\le \mu \,mg\] \[\Rightarrow \mu \ge \frac{1}{2\sqrt{3}}\]