What is the coefficient of friction for a given surface and two weights?

In summary, the problem involves finding the coefficient of friction on a surface with two given weights of 0.5672kg and 0.050kg. The equation used is m1a + Mm1g = m2g - m2a, where M represents the coefficient of friction. The frictional force is equal to the coefficient of friction multiplied by the weight of the object. To solve for the coefficient of friction, the forces acting on the objects must be taken into account, including the normal force and the force of gravity.
  • #1
SimonJ
4
0

Homework Statement



I need to find the coefficient of friction on a surface. Two weights were given, 0.5672kg and 0.050kg

Homework Equations



m1a + Mm1g = m2g - m2a

The Attempt at a Solution



(0.5672kg)a + M (0.5672)(9.81) = (0.050kg)(9.81) - (0.050kg) a


M represents the coefficient of friction. I need to solve for that, I just don't know where to take it from here.
 
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  • #2
That's not enough of a question - what were the two weights doing?
 
  • #3
246t8h4.jpg


That is what is happening
 
  • #4
That helps.
Now try drawing in the forces.
The frictional force is = coeff_friction * normal force (ie weight)
 
  • #5
Can you explain that a little more please?
 
  • #6
There is a force down on the 0.05kg mass = m g
This same force pulls the larger mass to the right, so an equal friction force acts to the left (assuming no loss in the pulleys).
The definition of coeeficient of friction is
friction force = coeef * normal force

The normal force is the force acting down on the suface = M g
 
Last edited:
  • #7
Ok thanks!
 

1. What is friction?

Friction is a force that resists the motion of objects or surfaces that are in contact with each other. It is caused by the microscopic roughness of surfaces and can be influenced by factors such as the type of material, surface area, and the amount of force applied.

2. How does friction affect motion?

Friction can either slow down or prevent motion altogether. When two surfaces are in contact, the friction force acts in the opposite direction of the motion, making it more difficult for objects to move. This can result in a decrease in speed, change in direction, or complete stop of motion.

3. What is the difference between static and kinetic friction?

Static friction is the force that resists the initial motion of an object, while kinetic friction is the force that opposes the motion of an already moving object. Static friction is typically greater than kinetic friction and requires more force to overcome.

4. How is the coefficient of friction determined?

The coefficient of friction is a value that represents the amount of friction between two surfaces. It is determined by dividing the force of friction by the normal force, which is the force exerted by one surface on the other. This value can vary depending on the materials and conditions of the surfaces.

5. Does friction have any benefits?

Yes, friction has many benefits. It allows us to walk, drive, and grip objects. It also helps to slow down moving objects, preventing accidents and injuries. In some cases, friction can also be used to generate heat or electricity for various purposes.

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