The center of gravity is the point at which the entire weight of an object or system can be considered to be concentrated, and the object or system will remain in equilibrium when suspended from that point.
The center of gravity for a system of particles is calculated by taking the sum of the products of the mass of each particle and its distance from a chosen reference point, divided by the total mass of the system.
No, the center of gravity does not always coincide with the geometric center of an object. It depends on the distribution of mass within the object. For irregularly shaped objects, the center of gravity may be located at a different point.
The center of gravity is a key factor in determining the stability of an object. An object with a low center of gravity is generally more stable than an object with a high center of gravity. This is because a lower center of gravity means that the object is less likely to topple over.
The center of gravity of a system will change when additional particles are added, as it is dependent on the distribution of mass within the system. The center of gravity may shift closer to the added particles, especially if they have a greater mass than the existing particles in the system.