Examining Forces in a Symmetric Building

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SUMMARY

The discussion focuses on calculating the horizontal force exerted by a symmetric roof sloping at 34.0 degrees, weighing 1.10×10^4 N per side. The horizontal force at the top of the wall can be derived from the roof's weight and angle using trigonometric principles. Additionally, it concludes that buildings with taller walls are more susceptible to collapse due to a higher center of mass, making them less stable under lateral forces.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and torques.
  • Knowledge of trigonometry, particularly sine and cosine functions.
  • Familiarity with the concept of center of mass and its implications on stability.
  • Ability to analyze free-body diagrams for structural forces.
NEXT STEPS
  • Study the principles of static equilibrium in structures.
  • Learn how to calculate forces using trigonometric functions in physics.
  • Research the effects of center of mass on the stability of buildings.
  • Explore examples of structural failures due to lateral forces in architecture.
USEFUL FOR

Students in physics or engineering courses, architects, structural engineers, and anyone interested in building design and stability analysis.

iamwilson
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Homework Statement



A symmetric building has a roof sloping upward at 34.0 degrees above the horizontal on each side.

A)If each side of the uniform roof weighs 1.10×10^4N , find the horizontal force that this roof exerts at the top of the wall, which tends to push out the walls.

B)Which type of building would be more in danger of collapsing: one with tall walls or one with short walls? Explain

Homework Equations





The Attempt at a Solution


I tried to break the forces into x and y components, x is horizontal so i thought that is the horizontal force.
I also tried use sum of the torque equals zero, but i don't know how to set it up
can someone give me some clues. thanks. It's due tomorrow!
 
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All I can think of is taller walls having higher centres of mass, therefore would topple more easily.
 

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