Centre of gravity is the point through which the resultant of system of forces (due to weight) of all the particles constituting the body passes for all positions of body.
Centre of mass is a point where whole mass of a body can be concentrated.
When the vertical height of the object is very small as compared to earth’s radius, we call the object small otherwise it is extended.
a) Building and pond are small object so their centre of mass and centre of gravity coincide.
b) Deep lake and mountain are extended objects so their centre of mass doe of mass does not coincide with centre of gravity.
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