How Do You Calculate the Coefficient of Kinetic Friction on an Incline?

In summary, the block sliding down a 30° incline at 1.2ms^-2 cannot determine the coefficient of static friction, but it can determine the coefficient of kinetic friction. The components of the gravitational force on the block in the directions tangent and normal to the incline, as well as the normal force exerted by the incline on the block, can be used to calculate the coefficient of kinetic friction.
  • #1
Bradyns
20
0
A block is sliding down a 30° incline at 1.2ms^-2
Find the coefficient of static friction.
[g=9.8ms^2]

I am stumped..

Some relevant equations:
Fr = μ(Fn)
Fn = mg

Ultimately I got μ=0.5 ---> This was through mashing and playing with some trig.
 
Last edited:
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  • #2
Bradyns said:
A block is sliding down a 30° incline at 1.2ms^-2
Find the coefficient of static friction.
[g=9.8ms^2]

I am stumped..

I got μ=0.5

If the block is already sliding down the incline, then you don't have the information you need to determine the coefficient of static friction. On the other hand, you do have the information you need to determine the coefficient of kinetic friction. What are the components of the gravitational force on the block in the directions tangent and normal to the incline? Is the block accelerating in the direction normal to the incline? Is the block accelerating in the direction tangent to the incline? What are the force components acting on the block in the direction tangent to the incline? What is the normal force exerted by the incline on the block?
 

Related to How Do You Calculate the Coefficient of Kinetic Friction on an Incline?

1. What is static friction on a slope?

Static friction on a slope refers to the force that prevents an object from sliding down a slope when it is stationary. It is a type of friction that occurs between two surfaces that are not moving relative to each other.

2. How is static friction on a slope different from static friction on a flat surface?

Static friction on a slope is different from static friction on a flat surface because the object is not resting on a horizontal surface, but rather on a slope. This changes the direction of the force of static friction to be parallel to the incline of the slope instead of perpendicular to the surface.

3. What factors affect the magnitude of static friction on a slope?

The magnitude of static friction on a slope is affected by the coefficient of static friction between the two surfaces, the mass of the object, and the angle of the slope. The greater the coefficient of static friction, the heavier the object, and the steeper the slope, the greater the magnitude of static friction will be.

4. How does the angle of the slope affect static friction?

The angle of the slope affects static friction because it changes the direction of the force of static friction. As the angle of the slope increases, the force of static friction also increases in order to prevent the object from sliding down the slope.

5. Can static friction on a slope be greater than the weight of the object?

Yes, static friction on a slope can be greater than the weight of the object. This occurs when the angle of the slope is steep enough and the coefficient of static friction is high enough to counteract the weight of the object and prevent it from sliding down the slope.

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