Question
What is the acceleration associated with a mass 'm' moving up an inclined plane $(\theta)$ with friction $\mu?$

Answer

Force acting are $\text{mg}\sin\theta$ and $\mu\text{ mg}\cos\theta,$ both in the downward directin, as the mass moves up.$\therefore\ \text{a}=\frac{\text{mg}\sin\theta+\mu\text{mg}\cos\theta}{\text{m}}$
$=\text{g}(\sin\theta+\mu\cos\theta).$

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