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List of centroidsromWikipedia, the free encyclopedia
he following diagrams depict a list of centroids. A centroid of
an object in -dimensional space is the intersection of all
hyperplanes that
divide into two parts of equal moment about the hyperplane.
Informally, it is the "average" of all points of . For an object of
uniform
composition (mass, density, etc.) the centroid of a body is also
its centre of mass.
Shape Figure Area
Right-
triangular
area
Quarter-
circular area
Semicircular
area
Quarter-
elliptical area
Semielliptical
area
Semiparabolic
area
The area between the curve and the axis, from to
Parabolic
areaThe area between the curve and the line
Parabolic
spandrel
The area between the curve and the axis, from to
General
spandrel
The area between the curve and the axis, from to
Circularsector
The area between the curve (in polar coordinates) and the pole,
fromto
Circular
segment
http://en.wikipedia.org/wiki/Circular_segmenthttp://en.wikipedia.org/wiki/Circular_segmenthttp://en.wikipedia.org/wiki/Circular_sectorhttp://en.wikipedia.org/wiki/Circular_segmenthttp://en.wikipedia.org/wiki/Circular_sectorhttp://en.wikipedia.org/wiki/Parabolahttp://en.wikipedia.org/wiki/File:Elliptical_half.svghttp://en.wikipedia.org/wiki/File:Elliptical_quarter.svghttp://en.wikipedia.org/wiki/File:Semicircle_centroid.svghttp://en.wikipedia.org/wiki/Semicirclehttp://en.wikipedia.org/wiki/File:Quarter_circle_centroid.svghttp://en.wikipedia.org/wiki/File:Triangle_centroid_2.svghttp://en.wikipedia.org/wiki/Trianglehttp://en.wikipedia.org/wiki/Averagehttp://en.wikipedia.org/wiki/Moment_(physics)http://en.wikipedia.org/wiki/Hyperplanehttp://en.wikipedia.org/wiki/Space_(mathematics)http://en.wikipedia.org/wiki/Dimensionhttp://en.wikipedia.org/wiki/Centroid
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Quarter-
circular arcThe points on the circle and in the first
quadrant
Semicircular
arcThe points on the circle and above the axis
Arc of circleThe points on the curve (in polar coordinates) ,
from to
External links
http://www.engineering.com/Library/ArticlesPage/tabid/85/articleType/ArticleView/articleId/109/Centroids-of-Common-Shapes.aspx
http://www.efunda.com/math/areas/IndexArea.cfm
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Categories: Mechanics Physics-related lists Geometric centers
Classical mechanics stubs
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