8 Questions around this concept.
Which of the following options correctly describes the variation of the speed v and acceleration ‘a’ of a point mass falling vertically in a viscous medium that applies a force F =−kv, where ‘k’ is a constant, on the body? (Graphs are schematic and not drawn to scale)

At A static friction is maximum
OA = Represents static friction
Beyond A, the force of friction decreases slightly
2.


The angle between the normal reaction and resultant contact force is called the angle of friction(Ө).
$\begin{aligned} & \tan \theta=\frac{F_l}{R} \\ & \tan \theta=\mu_s \\ & \frac{F_l}{R}=\mu_s \\ & \mathrm{R}=\text { Reaction, } \\ & F_l=\text { Force of limiting friction } \\ & \theta=\tan ^{-1}\left(\mu_s\right)\end{aligned}$
3.

$
\begin{aligned}
& S=\sqrt{F^2+R^2} \\
& S=\sqrt{(\mu m g)^2+(m g)^2} \\
& S=m g \sqrt{\mu^2+1} \\
& S=\text { Resultant force } \\
& \mu=\text { Coefficient of friction }
\end{aligned}
$
If $\mu=0, \mathrm{~S}$ (will be minimum), $\therefore \mathrm{S}=\mathrm{mg}$
"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
Last Date to Apply: 15th July | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
100+ Recruiters | 1200+ Placements of 2026 Batch | NBA & NAAC Accredited | Highest CTC 37 LPA
NAAC A+ Accredited | Highest CTC 45 LPA | Scholarships Available
40 LPA Highest Package | Up to 100% Scholarship worth 24 Crore via GUTS exam
Future-Focused Academic Pathways | AI-Era Education for Future Careers
Explore on Careers360
Student Community: Where Questions Find Answers