Question

A block slides down on an incline of angle 30${}^o$ with an acceleration $\frac{g}{4}$. Find the coefficient of kinetic friction .

• A. $\frac{1}{2\sqrt{2}}$
• B. 0.6
• C. $\frac{1}{2\sqrt{3}}$
• D. $\frac{1}{\sqrt{2}}$

Answer 1

The correct option is C $\frac{1}{2\sqrt{3}}$

$mgsin\theta -f=ma\Rightarrow mgsin\theta -\mu mgcos\theta =m\frac{g}{4}\Rightarrow \mu =\frac{1}{2\sqrt{3}}$