What is the centre of gravity of a body?
The centre of gravity of a body is a point in or near the body through which the weight of the body acts for all positions of the body
Where is the centroid positioned on a triangle?
It is one third of the base and one third of the height from the 90 degree angle
What are the steps for determining the position of the centre of gravity of asymmetrical bodies?
1- divide the shape into separate areas
2- calculate the individual areas as well as the total area of the body
3- establish a horizontal A-A axis from which the distances Z will be measured
4- measure the z distances from A-A to the centroids of all individual shapes
5- use the formula a1 x z1 + a2 x z2… = AZ to determine the distance of the centroid of the body from A-A
6- establish a vertical B-B axis
7- repeat steps 4 & 5 for the y distances from B-B
8- draw the position of the centroid on the body
What is the formula for calculating the Z distance of the centroid of a body?
Sum of moments at A-A =
a1 x z1 + a2 x z2 + … = AZ
