# Questions tagged [centroid]

"The centroid or geometric center of a plane or solid figure is the arithmetic mean ("average") position of all the points in the shape. " This tag is for questions about the centroid of a geometrical shape, its properties and computation.

169 questions
4answers
47 views

### Calculate coordinates of a centroid of $ABC$

We have a triangle $ABC$, where on the cartesian coordinate system: $A$ lies on $[-3, -2]$, $B$ lies on $[1, 1]$, $C$ lies on $[0, -6]$. How do we calculate coordinates for the centroid of this ...
2answers
37 views

0answers
16 views

### Center of mass for a solid that is symmetrical in one direction?

If I am trying to find the CM of a solid that is symmetrical in one direction (think an unsymmetrical shape that is now extruded from the page in both directions, i.e. into and out of, equally) this ...
1answer
61 views

### Intuitive Explanation to Pappus Theorem

Pappus's theorem is as follows: First theorem: The first theorem states that the surface area A of a surface of revolution generated by rotating a plane curve C about an axis external to C and on ...
1answer
106 views

### Centroid within non-convex 2d polygon

The centroid of an object is defined as the arithmetic mean of all points of the object. For non-convex objects, the centroid is often not a part of the object itself: Is there a definition of a ...
1answer
37 views

### centroid algorithm robust to missing poins

I need to find a center point of a person given the coordinates of all the joints. The joints of a person can be represented as a nodes of a graph with a fixed structure. The catch is some of the ...
2answers
56 views

2answers
71 views

### How to find the barycenter/center of mass of this 2d shape without calculation?

I am given this shape (or any similar shape which is symmetrical). How can I determine the barycenter without calculating anything? My thought intuitively is, that the center should be at C, since it ...
1answer
87 views

### Coordinates of the centroid in a 3D rectangle

I have a 3D rectangle and I have to find the 3D coordinates of its centroid. I tried to take 4 vertices, one let's say the origin $o$ and the three adjacent vertices $a, b, c$. I computed the ...
0answers
6 views

### Nodal Centres in a Finite-Volume Approach

Consider the finite volume element in a cylindrical coordinate system shown in the figure below whose faces are bounded by the radii $r=\bar{r}_{i-1}$ and $r=\bar{r}_{i}$. The issue is how to ...
1answer
43 views

1answer
110 views

1answer
99 views

### Integrating to find mass and centre of mass

A component of a stone plinth has a square base with corners at coordinates $(0,0,0,)$, $(0,2,0)$, $(2,2,0)$ and $(2,0,0)$. The height of the top surface is defined as $z =(1 + x^2 y)$. (All units ...
2answers
230 views