Calculating coefficient of max static friction

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SUMMARY

This discussion focuses on calculating the coefficient of maximum static friction by analyzing the relationship between contact force, surface quality, and weight. The coefficient is determined using the formula (max static force / normal force). The normal force is calculated as the mass of the weight multiplied by the acceleration due to gravity (9.81 m/s²) when on a level surface. For inclined surfaces, the normal force is adjusted by multiplying the gravitational force by the cosine of the angle of inclination.

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arjfsdsr
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Hello,

I'm conducting an experiment about how contact force and surface quality affect friction. I know that friction is affected by both, as my data suggests. I measured the static forces of several weights on two different surfaces, and found that indeed the max static force increased as the weights got heavier.

For analysis, I'd like to calculate the coefficients of the max static forces, and I know this is equal to (max static force / normal force), but I'm wondering how to calculate the normal forces of each weight. Is it just equal to the mass of each weight times gravity??

Thanks so much!
 
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arjfsdsr said:
Is it just equal to the mass of each weight times gravity??

Yep, consider force balance in the vertical direction.
 
arjfsdsr said:
Is it just equal to the mass of each weight times gravity??
Yes, mass in Kg times gravity (9.81 m/s^2) will give you the force of gravity (in Newtons) that is pulling the object toward the center of the Earth.

If the object is on a level surface, than the force of gravity equal in magnitude to the normal force.

But, if the object is on a slant with an angle "theta" from horizontal, the normal force is the gravitational force times the cosine of "theta". The normal force in this case will be less than it would be on a level surface.
 

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