Exploring the Relationship Between Friction and Angle

[rshalloo]

Homework Statement

Just a proof that I am having touble with
State and prove the relationship between the coefficient of friction and the angle of friction

The Attempt at a Solution

I wouldn't know where to start, I know that
(the reaction force X coefficient of friction) = Friction force
And i would geuss that as the angle to the ground of something on the ground increased the friction force would increase. But I am not entirely sure how to prove or (or if I am beingf honest what I am proving)

any help would be greatly appreciated

 

[PhanthomJay]

By definition, the angle of friction is the angle between the normal force and the resultant of the normal and friction forces at limiting equilibrium. You'll need to draw a sketch and use some basic trig to find the relationship between the coefficient of friction and the angle of friction. (The angle of friction is the same as the angle of an incline at which point an object starts to slide).