Why do we use the distance to the centroid when finding the resultant force?

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Discussion Overview

The discussion revolves around the use of the distance to the centroid (ybar) when calculating the resultant force on a plane surface subjected to uniform pressure, and whether this is appropriate given that the resultant force acts through the center of pressure.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions why the distance to the centroid (ybar) is used instead of the distance to the center of pressure when calculating the resultant force.
  • Another participant asserts that when the pressure is uniform, the center of pressure coincides with the centroid.
  • A different participant points out that there are always two distinct values for the distances to the center of pressure and the centroid.
  • One participant reiterates that the pressure in the scenario is uniform, suggesting that this condition affects the relationship between the centroid and center of pressure.

Areas of Agreement / Disagreement

Participants express differing views regarding the relationship between the centroid and center of pressure, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

Participants do not fully explore the implications of uniform pressure on the relationship between the centroid and center of pressure, nor do they clarify the conditions under which these distances are relevant.

aero&astro
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When find the resultant force on a plane surface under uniform pressure why do we use ybar, the distance to the centroid when the resultant force acts through the centre of pressure?

Shouldn't we use the distance to the centre of pressure?
 
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If the pressure is uniform, the center of pressure is at the centroid.
 
there's always two different values for the distance to the centre of pressure and to the centroid though?
 
Last edited:
For the second time, in your question the pressure is uniform.
 

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