Assertion : Angle of repose is equal to the a | vedclass

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(A) The maximum value of static friction up to which a body does not move is called limiting friction.Angle of repose $(\alpha)$ is defined as the ang

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(A) The maximum value of static friction up to which a body does not move is called limiting friction.Angle of repose $(\alpha)$ is defined as the angle of the inclined plane with the horizontal such that a body placed on it just begins to slide.In the limiting condition, the forces are balanced:$F = mg \sin \alpha$$R = mg \cos \alpha$Dividing these equations, we get:$\frac{F}{R} = 	an \alpha$Since the coefficient of static friction $\mu_s = \frac{F}{R} = 	an 	heta$, where $	heta$ is the angle of friction, we have:$	an 	heta = 	an \alpha \implies 	heta = \alpha$Thus, the angle of repose is equal to the angle of friction. The reason correctly explains the concept of limiting friction used to derive this equality.

$Assertion$ : 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.

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$Assertion$ : 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.