ES-170 Center of Gravity and Centroids for Standard Composite Bodies |
If the multitude of forces acting on a body because of the attraction of the earth's gravitational field are replaced by a single force, that force should be applied at the center of gravity (CG). |
and where x_{CG} - x coordinate of C.G. y_{CG} - y coordinate of C.G. | If we divide the body into n small elements of W_{i} each, located at x_{i} and y_{i}, then we may write... |
| If the body is mathematically piecewise continuous, elements may be increased in number and decreased in size... |
where g - specific weight and | If the body is of uniform thickness and specific weight and small enough so that variation in g may be neglected |
| The centroid (area equivalent of CG) may then be calculated by... |