Angle Of Repose MCQ - Practice Questions with Answers

The angle of repose is defined as the angle of the inclined plane with horizontal such that the body is placed on it just begins to slide.

Here α is the angle of repose, F is the limiting friction, R is a normal reaction.

From the figure,

R=mgcosα 

F=mgsinα  and

we know that

$\begin{aligned} & \frac{F}{R}=\tan \alpha \\ & \frac{F}{R}=\mu_s=\tan \theta=\tan \alpha \\ & \therefore \tan \alpha=\mu_{\mathrm{s}} \Rightarrow \alpha=\tan -1\left(\mu_{\mathrm{s}}\right)\end{aligned}$