First slide

Friction on inclined plane of angle more than angle of repose

Question

In the figure shown, if coefficient of friction is $μ$ , then m₂ will start moving upwards, if

Moderate

A

$\frac{m_{1}}{m_{2}} > \sin θ - μ \cos θ$
B

$\frac{m_{1}}{m_{2}} > \sin θ + μ \cos θ$
C

$\frac{m_{1}}{m_{2}} > μ \sin θ - \cos θ$
D

$\frac{m_{1}}{m_{2}} > μ \sin θ + \cos θ$

Solution

$m_{1} g > m_{2} g \sin θ + μ m_{2} g \cos θ$
$\Rightarrow \frac{m_{1}}{m_{2}} > \sin θ + μ \cos θ$

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