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Frictional forces

Kinetic friction​

fk=μkn\begin{align*} f_k = \mu_k n \end{align*}

Static friction and critical angle α\alpha​

(fs)max=μsn=mgsin⁡αα=tan⁡−1μs\begin{align*} (f_s)_{max} &= \mu_s n = mg\sin\alpha \\ \alpha &= \tan^{-1} \mu_s \end{align*}

Acceleration of a block sliding down a rough slope​

a=g(μs−μk)1+μs2\begin{align*} a = \frac{g(\mu_s - \mu_k)}{\sqrt{1+\mu_s^2}} \end{align*}