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Graph Between Applied Force And The Force Of Friction - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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8 Questions around this concept.
Solve by difficulty
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)
Concepts Covered - 1
Graph between Applied Force and the Force of Friction & Angle of Friction
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), $\therefore \mathrm{S}=\mathrm{mg}$
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