What is the maximum distance of a stable brick stack without overhang?

  • Thread starter kamikaze1
  • Start date
In summary, the question asks if it is possible to stack four identical bricks on a table in a way that maximizes the distance d between the outer edge of the top brick and the outer edge of the table. The concept of torque and center of mass are important in finding a solution. When stacking bricks, the center of mass of the system must be considered to prevent the bricks from falling. One approach is to continuously stack blocks and examine how the center of mass changes, and determine where it should be for the bricks to remain stable.
  • #1
kamikaze1
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0

Homework Statement


There are four identical uniform bricks each with length of L, so that the top brick is as far to the right as possible without the stack falling over. Is it possible to stack the bridge such that no part of the top brick is over the table. Namely, maximize the distance of d (from the outer edge of the top brick to the outer edge of the table).


Homework Equations


torque
T=Fd
Center of mass


The Attempt at a Solution


First look at one brick, the maximum distance from the center of mass is L/2. I'm stuck there. How should I apply torque to know what happens if we put extra bricks on top?
 
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  • #2
Try to examine how the center of mass of the system changes as you continuously stack blocks. Where should the center of mass be of the system for the blocks to fall?
 
  • #3
How would the center of mass change if I stack two bricks on each other?
 

1. What is the stacking a brick problem?

The stacking a brick problem is a mathematical puzzle where the goal is to determine the minimum number of bricks needed to build a specific shape or structure without overlapping or leaving any gaps.

2. How do you approach the stacking a brick problem?

The best approach to the stacking a brick problem is to start by identifying the base shape or structure and then work your way up. It is also helpful to visualize the structure and plan ahead before physically stacking the bricks.

3. What strategies can be used to solve the stacking a brick problem?

There are several strategies that can be used to solve the stacking a brick problem, including using symmetry, building from the corners, and using a combination of different shapes and sizes of bricks to fill in gaps.

4. Are there any real-world applications for the stacking a brick problem?

Yes, the stacking a brick problem has real-world applications in engineering and architecture, where it is used to determine the most efficient way to build structures using minimum materials.

5. Is there a specific formula or equation for solving the stacking a brick problem?

No, there is no specific formula or equation for solving the stacking a brick problem. It requires critical thinking, spatial reasoning, and problem-solving skills to determine the best solution.

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