Friction and magnitude between two blocks

In summary, a block of mass 4.0 kg is put on top of a block of mass 6.0 kg. To cause the top block to slip on the bottom one, while the bottom one is held fixed, a horizontal force of at least 19 N must be applied to the top block. The assembly of blocks is now placed on a horizontal, frictionless table. If you pull the 6 kg block hard enough, the 4 kg block slips because the coefficient of friction between the two blocks is 0.
  • #1
trogdor5
11
0

Homework Statement


A block of mass 4.0 kg is put on top of a block of mass M = 6.0 kg. To cause the top block to slip on the bottom one, while the bottom one is held fixed, a horizontal force of at least 19 N must be applied to the top block. The assembly of blocks is now placed on a horizontal, frictionless table.
(a) Find the magnitude of the maximum horizontal force F that can be applied to the lower block so that the blocks will move together.
1 N

(b) Find the magnitude of the resulting acceleration of the blocks.
2 m/s2

The Attempt at a Solution



I'm really not sure how I would go about solving this. What I did was this:
19N - mu*4*9.8 = 0
To try and find the coefficient of friction between the two blocks but I'm not sure if that's right and even if it is, how I would go about finding the rest of the solution to the problem. Please help!
 
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  • #2
trogdor5 said:

Homework Statement


A block of mass 4.0 kg is put on top of a block of mass M = 6.0 kg. To cause the top block to slip on the bottom one, while the bottom one is held fixed, a horizontal force of at least 19 N must be applied to the top block. The assembly of blocks is now placed on a horizontal, frictionless table.
(a) Find the magnitude of the maximum horizontal force F that can be applied to the lower block so that the blocks will move together.
1 N

(b) Find the magnitude of the resulting acceleration of the blocks.
2 m/s2

The Attempt at a Solution



I'm really not sure how I would go about solving this. What I did was this:
19N - mu*4*9.8 = 0
To try and find the coefficient of friction between the two blocks but I'm not sure if that's right and even if it is, how I would go about finding the rest of the solution to the problem. Please help!

You have enough information in the problem to find mu. 19 N (fsmax) and the normal force on the 4 kg block (in this case supplied by the 6 kg block)

So if you apply a small horizontal force to the 6 kg block, what force will keep the 4 kg block moving with it? (a hint: What would happen if the surfaces between the two blocks were frictionless?)

If you pull the 6 kg block hard enough, the 4 kg block slips because...?
 
  • #3
I'm honestly lost. Any way you can write out the steps a bit and I'll follow (not much explanation is necessary, as I kind of understand).
 
  • #4
trogdor5 said:
I'm honestly lost. Any way you can write out the steps a bit and I'll follow (not much explanation is necessary, as I kind of understand).

I don't think we are supposed to do that except if we get more info from you.

Can you draw all the forces acting on the 4 kg mass if you were pulling with a horizontal force of 2N on the 6 kg block? In other words, can you draw a free body diagram of the situation I have presented? and do you know what the acceleration of the 4 kg block would be?
 

FAQ: Friction and magnitude between two blocks

What is friction and how does it affect the magnitude between two blocks?

Friction is a force that opposes the motion of two surfaces in contact with each other. It can affect the magnitude between two blocks by either increasing or decreasing it, depending on the direction and strength of the friction force.

What factors can influence the magnitude of friction between two blocks?

The magnitude of friction between two blocks can be influenced by the types of surfaces in contact, the roughness of the surfaces, the force pressing the surfaces together, and the presence of any lubricants.

How can we measure the magnitude of friction between two blocks?

The magnitude of friction between two blocks can be measured using a device called a dynamometer, which measures the force required to move one block over the other. The magnitude of friction is equal to the force required to overcome it.

What is the difference between static friction 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 motion between two surfaces that are already in motion. The magnitude of static friction is usually greater than that of kinetic friction.

How can we reduce the magnitude of friction between two blocks?

The magnitude of friction between two blocks can be reduced by using lubricants, such as oil or grease, between the surfaces in contact. Smooth surfaces and reducing the force pressing the blocks together can also lower the magnitude of friction.

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