What is the Correct Concept for Solving the Stacked Blocks Problem?

In summary, the concept of friction being equal to the force applied in order to cancel out and keep X on Y is not correct. The net horizontal force exerted on Y is actually F-friction, and if F and friction cancel out, Y will not accelerate. The problem states that the system accelerates, and X not slipping on Y means they move together with the same acceleration. However, drawing a free body diagram for each block shows that the boxes do not move at a constant speed.
  • #1
Arun Raja
17
0

Homework Statement


177cf5c7d0.png


Homework Equations


F= ma[/B]

The Attempt at a Solution


X does not slip. so friction exists. Friction should be equal to the force F applied so that according to Newton's 3rd law, the friction and F cancel out and X remains on Y.
Is this the right concept?
 
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  • #2
Arun Raja said:

Homework Statement


177cf5c7d0.png


Homework Equations


F= ma[/B]

The Attempt at a Solution


X does not slip. so friction exists. Friction should be equal to the force F applied so that according to Newton's 3rd law, the friction and F cancel out and X remains on Y.
Is this the right concept?
No. F is applied on Y. The friction between X and Y acts also on X. So the net horizontal force exerted on Y is F-friction. If F and the friction cancel out Y does not accelerate. As X moves together with Y the whole system stays in rest or moves without acceleration. But the problem stated that it accelerates.
X does not slip on Y means that they move together, with the same acceleration.
ehild
 
  • #3
That would be fine if the boxes moved at a constant speed ... but they don't.
Instead, draw a free body diagram for each block.
 

FAQ: What is the Correct Concept for Solving the Stacked Blocks Problem?

What is the stacked blocks problem?

The stacked blocks problem is a classic problem in mathematics and physics that involves finding the maximum height of a stack of blocks that can be built without toppling over.

What are the key factors that affect the stability of a stacked block tower?

The key factors that affect the stability of a stacked block tower are the mass and distribution of the blocks, the surface area of the blocks in contact with each other, and the stability of the base.

How can the stacked blocks problem be solved mathematically?

The stacked blocks problem can be solved using the principles of equilibrium and statics, which involve analyzing the forces acting on the blocks and determining the conditions for stability.

What are some real-world applications of the stacked blocks problem?

The stacked blocks problem has applications in architecture, construction, and engineering, where it is important to determine the maximum height that a structure can be built without collapsing.

Are there any variations of the stacked blocks problem?

Yes, there are variations of the stacked blocks problem that involve different types of blocks or different stacking arrangements, such as stacking blocks of different shapes or placing blocks on a moving platform.

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