A block of mass $m$ lying on a rough horizontal plane is acted upon by a horizontal force $P$ and another force $Q$ inclined an at an angle $\theta $ to the vertical. The minimum value of coefficient of friction between the block and the surface for which the block will remain in equilibrium is
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$\mathrm{N}=\mathrm{mg}+\mathrm{Q} \cos \theta$
$\mathrm{P}+\mathrm{Q} \sin \theta \leq \mu \mathrm{N}$
$\Rightarrow \mu \geq \frac{\mathrm{P}+\mathrm{Q} \sin \theta}{\mathrm{N}}, \mu \geq \frac{\mathrm{P}+\mathrm{Q} \sin \theta}{\mathrm{mg}+\mathrm{Q} \cos \theta}$
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