Collapsible Building: Tall Walls vs Short Walls

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Tall walls are more likely to lead to a building's collapse due to their higher center of gravity, which increases the risk of tipping. The discussion emphasizes the importance of static equilibrium equations in analyzing this risk. To demonstrate this mathematically, one can compare the tipping points of rectangular boxes with varying heights, noting that taller boxes have less surface area in contact with the ground. This understanding is crucial for assessing structural stability. Overall, the consensus is that taller walls pose a greater collapse risk.
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Homework Statement



which type of building is more likely to collapse, a building with tall walls or short walls.

Homework Equations



not sure,

The Attempt at a Solution


I know that this is a static equilibrium equation and common sense tells me that the taller the walls are, the more likely the building is to collapse but how do I show this using equations?
 
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Eagle's Wings said:
which type of building is more likely to collapse, a building with tall walls or short walls. i know that this is a static equilibrium equation and common sense tells me that the taller the walls are, the more likely the building is to collapse but how do i show this using equations?

Hint -- write the equations for tipping over equal mass rectangular boxes with different heights (taller box means less surface area on the ground). Does that help?
 
is that the center gravity equation?
 
okay, that makes sense. thanks so much
 
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