- #1
teng125
- 416
- 0
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
pls help...thanx
In summary, the conversation discusses how to calculate the center of area for a square with a quarter of a circle cut out at the corner. It is suggested to treat the cut out portion as a "negative mass" and use the usual method of summing moments in two axes. The poster also mentions a previous post where they helped someone with a similar problem.
- #2
teng125
- 416
- 0
add in:the question ask for the coordinates of the center of area
- #3
berkeman
Mentor
- 67,016
- 19,823
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)
- #4
Curious3141
Homework Helper
- 2,862
- 88
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.
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.
Last edited:
- #5
Curious3141
Homework Helper
- 2,862
- 88
1. What is the center of area for a square?
The center of area for a square is the point where the two diagonals of the square intersect. It is also known as the centroid or the geometric center of the square.
2. How do you calculate the center of area for a square?
To calculate the center of area for a square, you can find the average of the x and y coordinates of the four vertices of the square. This will give you the coordinates of the centroid.
3. Why is the center of area important for a square?
The center of area is important for a square because it is the point that is equidistant from all four sides of the square. This means that it is the balancing point of the square and is useful for determining the stability and balance of structures built with squares, such as buildings and bridges.
4. How is the center of area different from the center of mass?
The center of area and the center of mass are two different concepts. While the center of area is the point where the two diagonals of a square intersect, the center of mass is the point where the entire mass of the square can be considered to be concentrated. In a uniform square, the center of mass and the center of area will be at the same point, but in an irregularly shaped square, they will differ.
5. Can the center of area be outside of the square?
No, the center of area for a square will always be located inside the square, at the point where the diagonals intersect. If the center of area is outside of the square, it means that the shape is not a perfect square, but rather a rectangle or some other irregular shape.
Similar threads
-
Engineering and Comp Sci Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Math POTW for Secondary and High School Students
-
Introductory Physics Homework Help
-
Calculus and Beyond Homework Help
-
Special and General Relativity
-
Introductory Physics Homework Help
-
Astronomy and Astrophysics