Center of Mass of a Right Triangle

Thread starter the4thcafeavenue
Start date Nov 6, 2004
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Center Center of mass Mass Right triangle Triangle

AI Thread Summary

To calculate the Y component of the center of mass of a right triangle, the formula involves integrating the area and the Y coordinates. The key hint provided suggests using the equation \(\bar y = \frac {1}{A}\int {y\ } {dx\ } {dy}\) and emphasizes the importance of finding similar triangles for the calculation. The integration process involves the expression 2∕ab∫y(b-y)a/b dy. Understanding these mathematical concepts is crucial for accurately determining the center of mass. Proper application of these formulas will yield the desired result.

Nov 6, 2004

the4thcafeavenue

Hey guys. this is my first time posting. can anyone tell me how to calculate the Y component of center of mass of a right triangle?? Major help would be appreciated :-D

please email me at [email address deleted]

Last edited by a moderator: Feb 7, 2010

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Nov 6, 2004

Tide

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Major hint:

\bar y = \frac {1}{A}\int {y\ } {dx\ } {dy}

Feb 6, 2010

ikhushman

you need to find similar triangles

2∕ab∫y(b-y)a/b dy

this will do

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