9 Questions around this concept.
A body will begin to move down an inclined plane, if the angle of inclination of the plane is ____________ the angle of friction.

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
\end{aligned}
$
So $\tan \alpha=\mu_{\mathrm{s}} \Rightarrow \alpha=\tan ^{-1}\left(\mu_{\mathrm{s}}\right)$
"Stay in the loop. Receive exam news, study resources, and expert advice!"
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Application Deadline: 15th April | Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
Mark presence in the Modern Architectural field with Bachelor of Architecture | Highest CTC : 70 LPA | Accepts NATA Score
Integrated M.Tech admissions open @ VIT Bhopal University | Highest CTC 70 LPA | Application Closing Soon | Apply now
Final Application Deadline: 23rd March | NAAC A++ Accredited | Accorded institution of Eminence by Govt. of India | NIRF Rank #3
Top Recruiters: Qatar Airways, Air Asia, SpiceJet, Flydocs etc.
Explore on Careers360
Student Community: Where Questions Find Answers