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

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The discussion focuses on determining the maximum distance a stack of four identical bricks can extend over a table without any part of the top brick overhanging. The key concept is to analyze the torque and the center of mass of the stacked bricks. The center of mass must remain above the table's edge to prevent the stack from toppling. As more bricks are added, the challenge lies in calculating how the center of mass shifts and ensuring it stays within a stable range. Understanding these principles is crucial for solving the problem effectively.
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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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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?
 
How would the center of mass change if I stack two bricks on each other?
 
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