# Nature of friction while walking on the ground

The frictional force between the feet of a man and the ground is static in nature.

These lines are taken from a reputed book. I was confused with this. Firstly, the feet is moving relative to the ground. So, why can't the friction be kinetic in nature. Secondly, for the frictional force to be static $$f_s = ma$$ , so while walking with constant velocity we get $$f = 0$$ but this cannot be true because we know that friction is necessary for walking.

Update I deduced that: The contact force exerted by the man on the ground and that exerted by the ground are action reaction pairs. When the vertical component of the contact force exerted on the man by the ground, exceeds the weight of the man, the contact is broken between man and ground and the contact force does not act. So, it can be concluded that the horizontal component of this reaction force acts for this time interval $$dt$$ when the foot is not moving relative to the ground. Hence the friction is static in nature.

But this raises some obvious questions : If friction acts only for this small time interval $$dt$$ at the point of contact(the feet of the man), can it affect the motion of the centre of mass of the man? Considering the part of the time the foot is in the air, does friction has anything to do with affecting the motion of the man? A force is always essential for motion. Since the only horizontal component acting on the man is friction, what exactly happens different while walking with constant velocity and while accelerating?

• correct, if v=0 then f=0
– user65081
Commented Jun 8, 2021 at 1:05
• A force can act for a small amount of time and still affect the motion of the centre of mass. When a ball bounces off the surface of the Earth, the force exerted by the Earth instantaneously changes the ball's momentum. Commented Jun 8, 2021 at 2:02
• Force is NOT essential for motion. A body with a net zero force acting on it can still have a non-zero velocity. A net force is essential for a net acceleration. Commented Jun 8, 2021 at 2:03
• "Firstly, the feet is moving relative to the ground." You're getting confused between your feet here. When you are walking, the foot that is moving is not the foot that is touching the ground. It is precisely the division of those two jobs between your two feet that allows us to walk the way we do. Commented Jun 8, 2021 at 11:33
• It's possible to run (static friction) on a surface, but then try to stop suddenly and not have enough dynamic friction so your feet slide. In the latter case your feet really are moving with respect to the ground while in contact with it. Commented Jun 8, 2021 at 13:51

Firstly, the feet is moving relative to the ground. So, why can't the friction be kinetic in nature.

It would be kinetic friction if the feet were sliding or slipping on the ground. It is static friction that prevents the feet from sliding or slipping on the ground.

Secondly, for the frictional force to be static $$f_s = ma$$ , so while walking with constant velocity we get $$f = 0$$ but this cannot be true because we know that friction is necessary for walking.

Although the average velocity of the walker may be constant, it in reality consists of a series of accelerations and decelerations due to static friction between each foot and ground.

When you push forward on one foot static friction between that foot and the ground momentarily gives you an acceleration. When you land on the other foot static friction decelerates you. Then you push off on that other foot and the process is repeated. The average acceleration is zero and the average velocity of the walker is constant.

Hope this helps.

To clear your net force doubt:

Why does static friction come up? So your foot does not slide. You, through your muscles, have your foot push the ground. The static friction acts on your foot such that it cancels out the force your foot applies, so your foot remains at rest. However, your foot may be at rest, but the ground still exerts a force on you (by exerting it on your foot), which is what helps you move forward.