Coefficient of friction and normal force

In summary, the block of wood can be moved at a constant velocity by adding weight to it and then pulling the string to the same tension.
  • #1
IMSTUCK
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Homework Statement



We have a block of wood that has a weight of 95.5g lying on another flat piece of wood. The block of wood has a string attached to a tray that hangs over a pulley. Wehad to add weight to the block adn then to the tray to see how much weight in the tray would break the block free and keep it moving at a constant velocity.
We did this six times.
1.N=.94n
2.N=2.9n
3.N=4.86n
4.N=6.82n
5.N=8.78n
6.N=10.74n
N=normal force n=Newtons
On the first try we added 7g to the tray hanging vertically over the pulley and the block broke free and moved at a constant velocity so the force to keep the block moving uniformly is 7gx9.8m/s/sdivided by1000 is .069n. and so on

Homework Equations



N=mg
Fr=[tex]\mu[/tex]kN

The Attempt at a Solution


I am completely lost at this point and obviously am missing something. I am not comprehending how to calculate the coefficient of friction static/kinetic with the information that I have and how they relate to normal force
 
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  • #2
The coefficient of static friction is a number greater than zero and less than 1. It relates the force needed to overcome friction to start moving an object and the object's weight.

It is all in your formulas - have another look.
 
  • #3
Don't forget to add the weight of the tray. Together the weight of tray plus the weight of the mass sitting on it is equal to the tension in the string holding them, per Newton 1. Since the coef of static friction is almost always greater than the coef of kinetic friction, the first amount of weight gets the block to just move, then you have to reduce the weight to keep it moving at constant velocity. I'm not sure how you determined it was moving at constant velocity. The tension in the string pulling the block is the same as the tension in the string holding the tray if you ignore the pulley mass and and friction in the pulley (this will be a source of error). Knowing the tension allows you to calculate the coef of friction per your equation and Newton's First Law.
 

FAQ: Coefficient of friction and normal force

What is the coefficient of friction?

The coefficient of friction is a dimensionless quantity that represents the ratio of the force required to overcome the resistance between two surfaces in contact to the force pressing the surfaces together.

How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force of friction by the normal force, which is the force pressing the surfaces together. It can also be determined by measuring the slope of the force versus displacement curve in a friction experiment.

What factors affect the coefficient of friction?

The coefficient of friction is affected by a variety of factors, including the nature and roughness of the two surfaces in contact, the presence of any lubricants or contaminants, the temperature of the surfaces, and the applied normal force.

How does the coefficient of friction relate to the force of friction?

The coefficient of friction represents the relationship between the force of friction and the normal force. It is a constant for a given pair of surfaces and can be used to calculate the force of friction using the equation F = μN, where μ is the coefficient of friction and N is the normal force.

Why is the coefficient of friction important?

The coefficient of friction is important because it helps us understand and predict the amount of force required to move an object over a surface. It also plays a crucial role in various engineering applications, such as designing effective brakes and tires for vehicles, and in ensuring the safety and stability of structures.

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