f → applied force
Fi → contact force
F → frictional force
R → normal reaction
$\mu=\tan\lambda=\frac{\text{F}}{\text{R}}$
When $\text{F}=\mu\text{R, F}$ is the limiting friction (max friction). When applied force increase, force of friction increase upto limiting friction $(\mu\text{R})$
Before reaching limiting friction
$\text{F}<\mu\text{R}$
$\therefore\tan\lambda=\frac{\text{F}}{\text{R}}\leq\frac{\mu\text{R}}{\text{R}}\Rightarrow\tan\lambda\leq\mu\Rightarrow\lambda\leq\tan^{-1}\mu$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
