A block of mass \( m \) lying on a rough horizontal plane is acted upon by a horizontal force \(...

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A block of mass \( m \) lying on a rough horizontal plane is acted upon by a horizontal force \( \mathrm{P} \) and another force \( \mathrm{Q} \) inclined at an angle \( \theta \) to the vertical. The block will remain in equilibrium if the coefficient of friction between it and the surface is :-
(1) \( \frac{P+Q \sin \theta}{m g+Q \cos \theta} \)
(2) \( \frac{P \cos \theta+Q}{m g-Q \sin \theta} \)
(3) \( \frac{P+Q \cos \theta}{m g+Q \sin \theta} \)
(4) \( \frac{\mathrm{P} \sin \theta+\mathrm{Q}}{\mathrm{mg}-\mathrm{Q} \cos \theta} \)
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