A centre of gravity can also be calculated as the center of mass, from where the weight of a body or an object is measured.
Calculations made by the centre of gravity are used to design buildings and projects where moving objects and bodies are involved.
The term centre of gravity and centre of mass is often used interchangeably. They’re not the same,however. The centre of mass of the moon is its geometric centre, whereas the center of gravity of the moon is towards the earth because of its gravitational pull.
Objects or bodies that are symmetrically shaped have the same centre of mass and centre of gravity. Objects that are asymmetrical or that are made from a variety of materials may have a different centre of mass than their centre of gravity. Objects that are hollow or are irregularly shaped may have their centre of gravity or centre of mass outside of its physical presence. An example could be a tennis ball.
Measurement Of Centre Of Gravity Where Mass Is Not Uniformly Distributed:
By using calculus:
Symbols s and dw would be used to denote integrated weight.
Centre of gravity- cg x w = s x dw
Weight = mass × gravity
Mass = density × volume
By combining these two equations we get,
Weight = gravity × density × volume
dw = gravity × density × dV
dw = g x rho (x,y,z) x dx dy dz
