The center of mass is indeed real, but it does not have to be embedded within the mass itself; it may be located outside of the physical object.
Balance and stability. The centre of mass of an object must lie within the area of the object's base otherwise the object is unstable.
An apoapsis is the point of a body's elliptical orbit around the system's centre of mass where the distance between the body and the centre of mass is at its maximum.
Centre of mass. It is where the mass appears to act.
The total mass of an object may be assumed to be concentrated at its centre of mass. It used to be called the centre of gravity.
The total mass of an object may be assumed to be concentrated at its centre of mass. It used to be called the centre of gravity.
The total mass of an object may be assumed to be concentrated at its centre of mass. It used to be called the centre of gravity.
At its centre.
Centre of mass is a convinient point where whole mass of the body is supposed to be acting and for bodies of small shape it concides with the geometrical centre. Centre of bouancy is the centre of the immersed portion of the body inside the liquid.
A barycentre is the point at the centre of a system - weighted according to mass or some other attribute - a term used in astronomy for the centre of mass about which a system rotates.
Zero
Yes it does.
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