For a rough inclined plane on which lies a body of weight W, the angle θ in the diagram above becomes the angle of friction if
a
tan θ = coefficient of static friction
b
cos θ = coefficient of dynamic friction
c
sin θ = coefficient of sliding friction
d
sec θ = limiting frictional force
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lil.OD.U
3 months ago
The correct answer is:
A. tan θ = coefficient of static friction
Here’s why:
The angle of friction is defined as the angle between the normal reaction and the resultant reaction (which is the vector sum of the normal force and the limiting frictional force).
At this angle, the body is just about to slide, meaning the frictional force has reached its limiting value.
Mathematically, the relation is:
tan
𝜃
=
Limiting friction
Normal reaction
=
𝜇
