What is meant by limiting friction force? - Vidyadip

Question

What is meant by limiting friction force?

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Answer

Limiting friction : When the value of applied force is less than a limit then, $\vec{f}_s$ will be equal to $\vec{F}$ (the applied force) in magnitude but direction of both will be opposite. By increasing the value of applied force the static friction increases upto a limit. Hence the value of $f_s$ also increase. We called this limit $f_{s, \max }$ then this value of static friction force is called limiting friction force for two surfaces,
$f_{s, \max } \propto R$
$f_{s \max }=\mu_{ s } R$ where $\mu_{ s }$ is constant of proportionality and is called coefficent of static friction. The value of limiting friction force is equal to product of coefficient of static friction $(\mu)$ and normal reaction force (R).

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