Calculating Center of Mass: Xi & Yi for Statics

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SUMMARY

The discussion focuses on calculating the center of mass coordinates, specifically Xi and Yi, in statics. The user initially misunderstands the calculation method for Xi and Yi, believing they should simply be half of the respective section lengths. However, the correct approach involves including the entire length of the previous sections in the calculations. The examples provided clarify that Xi values are derived by adding half of the current section length to the cumulative length of previous sections.

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  • Understanding of basic statics principles
  • Familiarity with center of mass calculations
  • Knowledge of coordinate systems in physics
  • Ability to interpret tabular data for calculations
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Yarnzorrr
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Ive been given this table in a lecture (attached) and I'm not sure what they're using to fill in the columns of Xi an Yi, it looks like it should just be half of each section in Yi, but that is not the case in Xi, can anyone please explain this to me.

Thanks =)
 

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    Screen Shot 2012-10-17 at 2.12.39 PM.png
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Oh its okay I understand, you have to include the entire thing and not just the individual sections.

ie.
xi (1) = 40/2 = 20
xi (2) = 300/2 + 40 = 190
xi (3) = 20/2 + 300 + 40 = 350
 

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