A cube is resting on an inclined plane. What must be the value of coefficient of friction between cube and plane so that cube topples before sliding
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The given condition takes place when line of force of mg passes through

$\theta=45^{\circ}$        $...(i)$

and $\operatorname{mg} \sin \theta \leq f_{\mathrm{r} \max }=\mu \mathrm{mg} \cos \theta$

$\Rightarrow \mu \geq \tan \theta$

$\Rightarrow \mu \geq 1$

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