$Assertion$ : Angle of repose is equal to the angle of limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.
AIIMS 2008, Medium
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The maximum value of static friction up to which body does not move is called limiting friction.
Angle of repose is defined as the angle of the inclined plane with horizontal such that a body placed on it is just begins to slide.
In limiting condition,
$F =$ mgsin alpha and $R =$ mgcos alpha
where alpha $-$ angle of repose.
$\text { So } \frac{F}{R}=\tan \alpha$
$ \therefore \frac{F}{R}=\mu_2=\tan \theta=\tan \alpha \quad\left(\tan \theta=\mu_s\right)$
$ \text { or } \theta=\alpha$
i. e, . angle of friciton $=$ angle of repose.
Angle of repose is defined as the angle of the inclined plane with horizontal such that a body placed on it is just begins to slide.
In limiting condition,
$F =$ mgsin alpha and $R =$ mgcos alpha
where alpha $-$ angle of repose.
$\text { So } \frac{F}{R}=\tan \alpha$
$ \therefore \frac{F}{R}=\mu_2=\tan \theta=\tan \alpha \quad\left(\tan \theta=\mu_s\right)$
$ \text { or } \theta=\alpha$
i. e, . angle of friciton $=$ angle of repose.
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