Find μk between the block and the inclined plane?

In summary, a block with an acceleration of 3.5 m/s2 is moving down an inclined plane at an angle of 27.0◦. The acceleration of gravity is 9.81 m/s2 and the goal is to find μk between the block and the inclined plane. The mass term can be cancelled out of the equations and the numerical calculations can be saved until the end. It is recommended to use two formulas and to keep everything in terms of variables until the end.
  • #1
HebrewHammer
8
0
A block accelerates 3.5 m/s2 down a plane
inclined at angle 27.0◦.
The acceleration of gravity is 9.81 m/s2 .
Find μk between the block and the inclined
plane.

I am completely lost. How can I find the μk if I do not know the mass of the block?
 
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  • #2
The mass term should cancel out of your equations. Try leaving everything in terms of the variables, and save the numerical calculations until the very end.
 
  • #3
Do you know the 2 forumals used?
 
  • #4
Welcome to PF!

HebrewHammer said:
I am completely lost. How can I find the μk if I do not know the mass of the block?

Hi HebrewHammer! Welcome to PF! :smile:

As hage567 suggests, call the mass "m", and then do all the equations as usual. :wink:

If you get stuck, show us how far you've got, and then we can see what the problem is. :smile:
 

FAQ: Find μk between the block and the inclined plane?

What is μk?

μk, also known as the coefficient of kinetic friction, is a measure of the resistance between two surfaces in contact when one is moving relative to the other. It is a dimensionless quantity and is dependent on the materials and roughness of the surfaces in contact.

How is μk calculated?

The coefficient of kinetic friction can be calculated by dividing the force required to keep an object in motion by the normal force between the two surfaces. This can be represented by the equation μk = Fk/N, where Fk is the force of kinetic friction and N is the normal force.

What factors affect μk?

The coefficient of kinetic friction can be affected by several factors, including the types of materials in contact, the roughness of the surfaces, and the presence of any lubricants or contaminants. Additionally, the velocity and weight of the object can also affect μk.

How is μk used in finding the force of friction?

Once the coefficient of kinetic friction is known, it can be used in conjunction with the normal force to calculate the force of kinetic friction, which is the force that opposes motion between the surfaces in contact. This can be represented by the equation Fk = μkN.

Why is it important to find μk between the block and the inclined plane?

Understanding the coefficient of kinetic friction between the block and the inclined plane is important in determining the force required to keep the block in motion or to prevent it from sliding down the plane. It also helps in predicting the behavior of the block on the inclined plane and can aid in designing systems that involve inclined planes.

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