Physics - NLM Question with Solution | TestHub

For the block to be stationary, the net force on it must be zero. The forces acting on the block are gravity ($mg$) vertically downwards, normal force ($N$) perpendicular to the incline, and the applied horizontal force ($F$). Resolving forces along the incline: $F\cos \theta =mg\sin \theta$. Therefore, $F=mg\frac{\sin \theta }{\cos \theta }=mg\tan \theta$.