First slide

Friction on inclined plane of angle more than angle of repose

Question

A box of mass 4 kg is placed on a rough inclined plane of inclination 60°. Its downward motion can be prevented by applying an upward pull is F and it can be made to slide upwards by applying a force 3F. The coefficient of friction between the box and inclined plane is

Moderate

A

$\frac{2}{\sqrt{3}}$
B

$\frac{\sqrt{3}}{2}$
C

$\frac{1}{\sqrt{2}}$
D

$\frac{1}{2}$

Solution

$\begin{array}{l} F_{1} = mg (\sin θ - μ_{k} \cos θ) \\ F_{2} = mg (\sin θ + μ_{k} \cos θ) \end{array}$

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