discuss the laws of friction derive the expression for coefficient of friction in terms of angle of sepose
Answers
Explanation:
Because of the angle of inclination, this weight can be resolved into two components; mgcosθ and mgsinθ as shown in fig. Thus, coefficient of limiting friction is equal to the tangent of the angle of repose.
Explanation:
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The angle of repose:- it is the minimum angle that an inclined plane makes with the horizontal when a body placed on it just begins to slide down.
let any inclined plane inclined with θ angle with horizontal and a body which mass is m just begins to slide down.
then,
mg.sinθ=μN
where μ is the coefficient of friction and N is the normal reaction.
N=mg.cosθ
now,
mg.sinθ=μmg.cosθ
tanθ=μ
θ=tan
−
1(μ)
here θ is known as angle of repose.
NOW THE LAWS OF FRICTION ARE
1. When an object is moving diffraction is perpendicular and proportional to the normal force (N).
2. The friction experienced by the object is dependent on the nature of the surface it is in contact with.
3. Friction is independent of the area of contact as long as there is an area of contact.
4. Kinetic friction is independent of velocity.
5. The coefficient of static friction is greater than the coefficient of kinetic friction.
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