![]() Therefore the location of center of gravity is an essential parameter to determine the flight characteristics of an object. A force applied to the center of gravity causes pure translation.An object in space rotates about its center of gravity.The center of gravity location has several unique properties: Mathematically, center of gravity can be defined as the weighted average of all point masses in an object, which satisfies the following:ĬG = sum(mi * ri)/sum(mi): Where ri is the position of each point mass and mi is the mass of each point massīrowse Center of Gravity Measurement Tools What is the importance of determining the center of gravity location? The center of gravity is the balance point of an object, also expressed as the point where all the mass appears to be located. The center of gravity (CG) location is the average location of all the weight of an object. In the photograph below the water has settled to the bottom of the bottle, moving the centre of mass towards the left as in the photograph above right.Factors Affecting Center of Gravity What is Center of Gravity (CG)? With the neck all the way in the centre of mass is moved to the right and the holder balances further to the right the opposite is true when the neck is all the way out, moving the centre of mass to the left.Ī half-full bottle has a very different centre of mass the ability of the water to move around causes the centre of mass to move around. ![]() Shifting the neck of the bottle in and out of the holder shows what effect moving the centre of mass has on the balance point. A bottle uniformly full of air and a bottle uniformly full of water have almost the same centres of mass. In the photograph below ( click to enlarge) you can see where the centre of mass is - it hasn’t rotated and therefore isn’t blurred.Īn empty bottle works just as well. If the centre of mass is to the left of the pivot the holder rotates to move the the centre of mass right (anticlockwise) if it’s to the right then the holder moves the centre of mass to the left (clockwise).Īn object free to rotate will rotate around its centre of mass. ![]() The holder balances when the centre of mass is directly above the pivot. The base of the holder can be any point along the curved edge the curved shape allows it to pivot freely. It doesn’t look much like a wine holder until you insert a bottle whereupon it magically “stands up”.Īn object balances when its centre of mass is above its base. My parents brought me back this wine holder from their most recent holiday. It is important to know where the centre of mass of a body is, as its position determines the stability of the body.Ī body is stable if, when it is tilted slightly, the line of action of its weight passes through its base.ĮXPERIMENT TO DETERMINE CENTRE OF GRAVITY OF PLANE LAMINA Apparatus:
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