Friction and magnitude between two blocks

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Homework Help Overview

The problem involves two blocks, one on top of the other, with a focus on the forces required to keep them moving together on a frictionless surface. The top block has a mass of 4.0 kg and the bottom block has a mass of 6.0 kg. A horizontal force is applied to the top block, and the task is to determine the maximum force that can be applied to the lower block without causing the top block to slip.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the applied force and the frictional force needed to keep the blocks moving together. Some attempt to calculate the coefficient of friction using the given force and mass, while others question the implications of a frictionless surface and the forces acting on the blocks.

Discussion Status

There is ongoing exploration of the problem, with participants offering hints and asking for clarification on the forces involved. Some guidance has been provided regarding the normal force and the conditions under which the top block would slip, but no consensus or complete solutions have been reached.

Contextual Notes

Participants note the constraints of the problem, including the requirement that the blocks must move together and the implications of the frictionless table. There is also mention of the need for a free body diagram to better understand the forces at play.

trogdor5
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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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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...?
 
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).
 
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?
 

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