It is the angle which the normal force N makes with the contact force when the equlibrium is limiting i.e when the condition of maximum static friction
Consider a block of mass m resting on a horizontal surface .Weight W=mg of this block is balanced by the normal force (N) of reaction as shown below in
if F is the contact force which each body exerts on the another body then this contact force can be resolved into two components
Perpendicular Components which is normal force N
Components parallel to the contact surface known as friction which is usually denoted by the fs,fk or fms
Angle BCD respresented by λ is angle of friction
Since N and fms are components of the contact force F,so we can write
or we can say
Also from the defination of static friction we know that
So tan λ=μs
Thus we can conclude that coefficient of static friction is equal to the tangent of the angle of friction
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