Co efficent of static friction

In summary, the question asks about the maximum fraction of a rope that can hang over the edge of a table without sliding, given the coefficient of static friction between the table and rope. Using the equation F=mg and creating a free-body diagram for both parts of the rope, the condition for when the rope will start to slide can be determined.
  • #1
frog210293
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0

Homework Statement



a) If the co efficent of static friction between a table and a uniform massive rope is Us, what fraction of the rope can hang over the edge of the table without the rope sliding?


Homework Equations



F=mg

The Attempt at a Solution



The largest fraction of the rope able to overhang would be 1/2?, how would you go about proving that mathematically?

The force on the rope hanging down would be F=m*9.81

where to go from here?
 
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  • #2
Make the free-body diagram for both pieces of the rope (hanging and resting on the table). Find the condition when it just starts to slide.

ehild
 

What is the coefficient of static friction?

The coefficient of static friction is a value that represents the amount of force needed to overcome the frictional force between two surfaces in order to keep them from moving relative to each other.

How is the coefficient of static friction determined?

The coefficient of static friction is determined experimentally by measuring the maximum force needed to move an object along a surface before it starts to slide. The ratio of this force to the normal force between the two surfaces gives the coefficient of static friction.

What factors affect the coefficient of static friction?

The coefficient of static friction is affected by factors such as the nature of the surfaces in contact, the roughness of the surfaces, and the amount of force pressing the surfaces together.

What is the difference between static and kinetic friction?

Static friction is the force that prevents two surfaces from moving relative to each other, while kinetic friction is the force that opposes the movement of two surfaces that are already in motion. The coefficient of static friction is typically higher than the coefficient of kinetic friction.

How can the coefficient of static friction be reduced?

The coefficient of static friction can be reduced by using lubricants, polishing or smoothing the surfaces in contact, or reducing the amount of force pressing the surfaces together. It can also be reduced by increasing the surface area in contact between the two surfaces.

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