# Also, tell its direction with respect to the horizontal axis ???

For the below figure

For the minimum value of P, its angle from the horizontal should be equal to the angle of friction.

I.e   $\alpha=tan^{-1}(\mu)$= angle of friction.

And the minimum value of P is given by

$P_{min}=\frac{\mu mg}{\sqrt{1+\mu^{2}}}$

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