Maximum coefficient of friction physics problem

Click For Summary

Discussion Overview

The discussion revolves around the maximum coefficient of friction, specifically addressing whether it can exceed 1. Participants explore various scenarios and materials that may influence the coefficient of friction, including glues, surfaces in specific contexts, and examples from practical experiences.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants question why the maximum coefficient of friction is stated as 1, suggesting it could be greater.
  • Others propose that materials like glue or viscous substances could lead to coefficients exceeding 1, but clarify that these may not be considered friction in the traditional sense.
  • A participant mentions that coefficients of friction can be infinite when surfaces are glued together, emphasizing that typical calculations involve surfaces with coefficients less than 1.
  • One participant shares an example from a horse pulling contest, where the coefficient of kinetic friction was calculated to be 1.08, suggesting that high coefficients can occur in practical situations.
  • Another participant notes that the coefficient of friction on a ramp can be expressed as the tangent of the ramp's angle, which can exceed 1 if the angle is greater than 45º.
  • Discussion includes references to specific materials and their frictional properties, such as Top Fuel drag car tires and table tennis rubber, which reportedly achieve coefficients well over 4.5.
  • Some participants emphasize that glues should not be conflated with friction, as they operate through different forces.
  • There is a mention of the microstructure of surfaces affecting friction, with steeper micro hills potentially leading to higher coefficients, but generally, they remain below 1.

Areas of Agreement / Disagreement

Participants express differing views on whether the coefficient of friction can exceed 1, with some asserting it can in specific contexts while others maintain that it is conventionally understood to be less than or equal to 1. The discussion remains unresolved with multiple competing perspectives presented.

Contextual Notes

Participants reference various scenarios and materials without reaching a consensus on the definitions and implications of the coefficient of friction. The discussion highlights the complexity of frictional forces and the conditions under which coefficients may vary.

ferranvalles
Messages
4
Reaction score
0
Can someone explain why the maximum coefficient of friction is 1??

Why μ <= 1 ?

Thank You.
 
Physics news on Phys.org
I don't know I thought it could be greater than one . . . :confused:
 
It could be greater then 1. For example if you have glue, or a really viscose m aterial between the two surface.
 
314159271828 said:
It could be greater then 1. For example if you have glue, or a really viscose m aterial between the two surface.

But if you are talking about glues and something like this, you are not talking about friction, it's a different force.

For definition, when the coefficient of friction is m:

0<=m<=1

And I wonder, why m<=1?
 
ferranvalles said:
But if you are talking about glues and something like this, you are not talking about friction, it's a different force.

For definition, when the coefficient of friction is m:

0<=m<=1

And I wonder, why m<=1?

Are you sure this isn't the elastic coefficient you're mixing it up with?
 
No, the coefficient of friction does not need to be less than one. For two surfaces glued together, for example, the coefficient of friction would be infinite.

You may be confused by the fact that most of the surfaces you will be doing calculations for will have coefficients of friction less than one. This is simply because, in those cases, we are more interested in surfaces that slide relatively well against each other.
 
You don't need glue. I recently attended a horse pulling contest where the winning team weighed about 3600 lb and pulled about 3900 lb. That's a coefficient of kinetic (yes, their hooves were slipping a little) friction of 1.08. Some other candidates for high coefficients might be a cheese grater, no 40 sandpaper, a file, stainless steel on aluminum, etc.
 
Thank you everybody.

Now I understand the coefficient friction can be higher than 1.

Another explication is that in a ramp, the coefficient of friction is equal to the tangent of ramp's angle.

The angle can be higher than 45º, so the tangent would be also higher than 1, as a consequence we can get a coefficient as high as we want (considering that a body is holded in the ramp).
 
Top Fuel drag car tires are getting a coefficient of friction well over 4.5. Table Tennis rubber is probably the stickiest, take a look at this video:

ttstick.wmv
 
  • #10
When talking about friction, never refer to glues or something like that. Glues adhere by different force,not friction.
I agree that most of the friction coefficients are lower than 1. There is reason for that. If you magnify the two surfaces of the table and let say an iron bar, these surfaces are not smooth but made of many micro hills (which you can see in an SEM picture of a metal). The steeper the hills (triangles), the higher the friction coefficient. If the steepness is 45 degrees, probably the coe. is 1. For many materials, the hill should not be steeper than 45 degrees, that the reason why coeficients are mainly lower than 1. Anyway, there are exceptional cases.
 
  • #11
ferranvalles said:
Thank you everybody.

Now I understand the coefficient friction can be higher than 1.

Another explication is that in a ramp, the coefficient of friction is equal to the tangent of ramp's angle.

The angle can be higher than 45º, so the tangent would be also higher than 1, as a consequence we can get a coefficient as high as we want (considering that a body is holded in the ramp).

That's only going to be the case if the Net force is 0 of an object on a ramp.
 

Similar threads

  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 71 ·
3
Replies
71
Views
11K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K