Static coefficient versus kinetic coefficient of friction

AI Thread Summary
The discussion centers on understanding the implications of static and kinetic coefficients of friction on acceleration in a lab scenario. When both coefficients are zero, it suggests a frictionless surface, leading to potential acceleration with any applied force. If the coefficients are equal and non-zero, a force greater than the static friction is required to initiate motion, resulting in acceleration. When the static coefficient exceeds the kinetic coefficient, the object will decelerate until it comes to rest after being initially set in motion. Overall, the relationship between these coefficients significantly influences the object's acceleration behavior under applied forces.
slayerdeus
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I have a lab question that I'm confused about:

What can you say about acceleration if the:

a) static coefficient = kinetic coefficient = 0
b) static coefficient = kinetic coefficient does not equal 0
c) static coefficient is greater than kinetic coefficient
 
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I'm also confused, as I have no idea what lab you're doing. Is something rolling on a hill, up, down, or on a level surface? What exactly are you having problems with, etc, etc...?
 
slayerdeus said:
I have a lab question that I'm confused about:

What can you say about acceleration if the:

a) static coefficient = kinetic coefficient = 0
b) static coefficient = kinetic coefficient does not equal 0
c) static coefficient is greater than kinetic coefficient


The first one sounds as if it should be a frictionless surface (ie no friction).

For the answers, are you looking for stuff like, the object is accelerating, deccelerating, or the object is at rest? I'm not sure what kind of answer you are looking for, but it seems to me if the 0 < kinetic = static, I would think the object is accelerating and for the last one, I would think the object would slow down until coming to a rest or something like that.

Does that sound right to anyone else?
 
slayerdeus said:
I have a lab question that I'm confused about:

What can you say about acceleration if the:

a) static coefficient = kinetic coefficient = 0
b) static coefficient = kinetic coefficient does not equal 0
c) static coefficient is greater than kinetic coefficient

I interpret this question to mean:
Suppose an object is initially at rest on a (horizontal) surface.
What can you say about the acceleration of the object, when a sufficiently strong force to accelerate it is applied to to the object?

a) An arbitrarily small force may be applied in order to accelerate it;
the resulting acceleration will also be arbitrarily small.
b) The sufficient force must satisfy F&gt;\mu_{s}N in order to accelerate the object.
We set F=\mu_{s}N+\delta{F}, where \delta{F} can be an arbitrarily small force.
We have, since \mu_{k}=\mu_{s} that the net force on the object, is \delta{F} ; i.e. the resulting acceleration can be made as small as one wish for.

c) The net force is now:
(\mu_{s}-\mu_{k})N+\delta{F} that is, the minimum initial acceleration is a_{min}=(\mu_{s}-\mu_{k})g
 
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