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

  • Thread starter Thread starter kamikaze1
  • Start date Start date
Click For Summary
SUMMARY

The maximum distance of a stable brick stack without overhang is determined by the principles of torque and center of mass. For four identical uniform bricks, each with length L, the center of mass must remain above the table's edge to prevent the stack from toppling. The maximum distance d from the outer edge of the top brick to the outer edge of the table can be calculated by analyzing the torque exerted by each brick and ensuring that the combined center of mass of the stacked bricks remains within the base of support.

PREREQUISITES
  • Understanding of torque and its calculation (T=Fd)
  • Knowledge of center of mass and its significance in stability
  • Familiarity with uniform distribution of mass in physical objects
  • Basic principles of equilibrium in physics
NEXT STEPS
  • Research the concept of torque in physics and its applications in stability analysis
  • Learn about the center of mass calculations for multiple objects
  • Explore the principles of equilibrium and how they apply to stacked structures
  • Investigate real-world applications of stacking stability in engineering and architecture
USEFUL FOR

Students studying physics, particularly in mechanics, educators teaching stability concepts, and engineers involved in structural design and analysis.

kamikaze1
Messages
22
Reaction score
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?
 
Physics news on Phys.org
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?
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
10K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
7
Views
5K
  • · Replies 4 ·
Replies
4
Views
7K
Replies
13
Views
8K
  • · Replies 4 ·
Replies
4
Views
9K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
11K
  • · Replies 14 ·
Replies
14
Views
5K