Relationship between the coefficient of friction and the angle of friction: Proof

rshalloo

1. The problem statement, all variables and given/known data
Just a proof that im having touble with
State and prove the relationship between the coefficient of friction and the angle of friction


3. The attempt at a solution
I wouldnt 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 im not entirely sure how to prove or (or if im beingf honest what im 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).