Prove that coefficient of friction is independent of mass?

In summary, the conversation discusses the mathematical proof that the coefficient of friction is independent of the mass of a rider at a fixed location on a merry go round. The equations that will be used are Ff = u*Fn, mg, and another equation for Ff, with the main question being what is missing something about the friction.
  • #1
Rbethell16
10
0

Homework Statement


Prove mathematically that the coefficient of friction is independent of the mass of a rider at a fixed location from the center on a merry go round.


Homework Equations


F = ma?


The Attempt at a Solution


I honestly don't know - I can't find two starting equations...
 
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  • #2
Yikes, is that the COMPLETE question? There has to be something more about the friction. Are we slipping on the merry go round, or going at the maximum speed before slipping begins?

One formula will be good old Ff = u*Fn.
Then we need a formula for Fn - probably mg, and another for Ff. That's what is missing from the question - something about the friction.
 

Related to Prove that coefficient of friction is independent of mass?

1. What is the coefficient of friction?

The coefficient of friction is a measure of the amount of resistance between two surfaces in contact. It is a dimensionless number that represents the ratio of the force required to move one surface over the other, to the force pushing the two surfaces together.

2. Why is the coefficient of friction important?

The coefficient of friction is important because it affects the motion of objects on a surface. It helps determine how much force is needed to move an object, and how quickly it will come to a stop. It is also a key factor in determining the stability and safety of structures and machinery.

3. How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force of friction by the normal force (the force pressing the two surfaces together). This can be done experimentally by measuring the force needed to move an object with a known mass, or it can be calculated using equations based on the materials and surfaces involved.

4. Why is the coefficient of friction independent of mass?

The coefficient of friction is independent of mass because it is a property of the two surfaces in contact, not the object itself. The mass of an object does not affect the amount of resistance between two surfaces, as long as the surfaces remain the same.

5. Is the coefficient of friction always constant?

No, the coefficient of friction can vary depending on factors such as the surface roughness, temperature, and the presence of lubricants. However, in a controlled environment with the same surfaces and conditions, the coefficient of friction will remain constant regardless of the mass of the object.

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