Independence of friction and area of contact

In summary, friction does not depend on the area of contact because the coefficients of friction do not. When two surfaces are pushed together, they tend to stick and the local tangential force is proportional to the pressure acting locally. The average pressure on the surface is N/A, where N is the normal force and A is the contact area. The local tangential force can be represented as kN/A*(dA), where k is a dimensionless constant. Summing up the local frictions gives us the total friction as F=k*(N/A)*A=kN.
  • #1
prasanna
45
0
Can anyone tell me why friction does not depend on the area of contact??
 
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  • #2
Total Friction does depend on the area of contact. The coefficients of friction do not.
 
  • #3
The short version is:
If two surfaces is pushed "hard" together they will tend to stick, and the local tangential force will typically be proportional to the PRESSURE acting locally.
The average pressure on the surface ought clearly be N/A, where N is the normal force, whereas A is the contact area.
The LOCAL tangential force (acting on a surface element "dA") can therefore, on average equal to kN/A*(dA), where k is a dimensionless constant.

Summing up the local frictions, gives us the total friction as:
F=k*(N/A)*A=kN
 
  • #4
Thanks arildno!
 

1. What is the independence of friction and area of contact?

The independence of friction and area of contact refers to the fact that these two factors are not directly related to each other. Friction is the force that resists the relative motion between two surfaces in contact, while area of contact is the size of the surface in contact. These two factors can affect each other indirectly, but they are not directly dependent on each other.

2. How does the area of contact affect friction?

The area of contact can indirectly affect friction by increasing or decreasing the force of contact between two surfaces. A larger area of contact means that there is a larger surface for the force of friction to act upon, resulting in a higher friction force. Conversely, a smaller area of contact means that there is less surface for the friction force to act upon, resulting in a lower friction force.

3. Does increasing the area of contact always increase friction?

No, increasing the area of contact does not always increase friction. The type of surface and the materials in contact also play a role in determining the friction force. For example, two surfaces with a large area of contact made of materials with low coefficients of friction will result in a lower friction force compared to two surfaces with a smaller area of contact made of materials with high coefficients of friction.

4. How does friction affect the area of contact?

Friction can indirectly affect the area of contact by causing wear and tear on the surfaces in contact. As friction acts between two surfaces, it can cause microscopic deformations or damage to the surfaces, resulting in changes to the area of contact. For example, repeated friction between two objects can cause the surfaces to become smoother, resulting in a smaller area of contact.

5. Is the independence of friction and area of contact applicable in all situations?

While the independence of friction and area of contact is a fundamental concept, it may not be applicable in all situations. For example, in certain types of lubricated systems, the area of contact may have a direct influence on the friction force. Additionally, other factors such as temperature, surface roughness, and speed can also affect the independence of friction and area of contact in certain scenarios.

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