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The limiting (or maximum) force of friction is proportional to the normal force that keeps the two surfaces in contact with each other, and is independent of the area of contact between the two surfaces. Mathematically,
fmax = µN

Properties of Friction

If the body does not move, then the static frictional force fs and the external force F parallel to the surface are equal in magnitude; and fs is directed opposite to F. If the external force F increases fs increases.

The friction force on a stationary block is zero
(a)

As long as the external force is less than the maximum friction force, fs = F
(b)

At the limiting case fs max­ = F. The block is about to slide
(c)

As the value of F slightly increases beyond fs max­ , the block “breaks away” accelerating suddenly to the right
(d)

If the block is to move with a constant velocity, the applied force must be reduced, because mk greater than ms
(e)

(a)  The friction force on a stationary block is zero.
(b)  As long as the external force is less than the maximum friction force, fs = F.
(c)  At the limiting case fs max­ = F. The block is about to slide.
(d) As the value of F slightly increases beyond fs max­ , the block “breaks away” accelerating suddenly to the right.
(e) If the block is to move with a constant velocity, the applied force must be reduced, because mk < ms.



Net Contact Forces

Whenever two bodies interact by direct contact of their surfaces, there are two contact forces acting on each body
  • Normal Force normal force called N and
  • Frictional Force frictional force called f

net contact forces image

Since these two forces are perpendicular to each other hence the net contact force net contact frictional force is two forces are perpendicular to each otherand the angle of friction angle of friction denoted is angle of friction.
It is important to note that
newton laws image     and      newton laws image

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