Question

For the toppling of the hexagon as shown in the figure, the coefficient of friction must be

• A. > 0.21
• B. < 0.21
• C. = 0.21
• D. < 0.21

Answer 1

The correct option is A > 0.21

To prevent slipping

$F=\mu N=\mu mg$
the body will topple about point O, if
$F.h\ge mg\frac{a}{2}$
here h = 2a $\cos$ ${30}^{\circ }$ = $a\sqrt{3}$
$\mu mga\sqrt{3}\ge mg\frac{a}{2}$
$\mu \ge \frac{1}{2\sqrt{3}}$
$\mu \ge 0.21$