Get Chapter 9 Center Of Gravity And Centroid - Uohedusa

The term "centroid" is of recent coinage (1814). It is used as a substitute for the older terms "center of gravity" and "center of mass" when the purely geometrical aspects of that point are to be emphasized.

The centre of gravity is a point in an object where the distribution of weight is equal in all directions, and it does depend on the gravitational field. However, an object's centre of mass and centre of gravity lies at the same point in a uniform gravitational field.

Center of Gravity The center of gravity G is a point which locates the resultant weight of a system of particles, if a body is in gravitational field; if not, center of gravity is a center of inertia of the body (= a system of particles).

Centroid The point, at which the total area of a plane figure (such as rectangle, triangle, square, quadrilateral, circle etc) is assumed to be concentrated, is called the centroid of that area. The centroid is also represented by C.G. or G. The centroid and centre of gravity are at the same point.

The centroid of a triangle is located at the intersecting point of all three medians of a triangle. It is considered one of the three points of concurrency in a triangle, i.e., incenter, circumcenter, centroid. The centroid is positioned inside a triangle.

A centroid is the geometric center of a geometric object: a one-dimensional curve, a two-dimensional area or a three-dimensional volume. Centroids are useful for many situations in Statics and subsequent courses, including the analysis of distributed forces, beam bending, and shaft torsion.

The centre of gravity of any object is the point where gravity acts on the body. On the other hand, the centroid is referred to as the geometrical centre of a uniform density object. This means the object has its weight distributed equally across all body parts.