How to Calculate the Center of Area for a Square with a Quarter Circle Cut Out?

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Homework Help Overview

The discussion revolves around calculating the center of area for a square with a quarter circle cut out from one corner. The square has a specified length of 400mm, and the quarter circle has a radius of 300mm. The original poster seeks assistance in determining the coordinates of the center of area.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the concept of center of mass, questioning whether it applies to the scenario. There is a suggestion to treat the cut-out portion as a "negative mass" and to consider summing moments in two axes. Additionally, there is a reference to previous discussions on similar problems.

Discussion Status

The discussion is ongoing, with participants sharing insights and referencing past experiences. Some guidance has been offered regarding the treatment of the cut-out area, but there is no explicit consensus on the approach to take.

Contextual Notes

Participants are navigating assumptions about the definitions of center of area versus center of mass, and there may be constraints related to the specific dimensions provided.

teng125
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are there any formula to calculate center of area for a square which has length of 400mm and a quarter of circle is cut out at the corner of the square with radius=300mm ??

pls help...thanx
 
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add in:the question ask for the coordinates of the center of area
 
You mean center of mass? If so, where would the center of mass of the circle part be just before it is cut out? (like if that quarter circle were still there)
 
Treat the cut out portion as a "negative mass" and the full square (pre-cut) as an ordinary mass and use the usual method of summing moments in two axes.

EDIT : In fact, I've helped another poster work through a similar problem a long while back. For some reason the search function is not working properly, but try searching under my name for "center of mass" and you might be able to locate the post. :smile:
 
Last edited:

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