I am confused on the concept/definition for center of mass and center of gravity?
I am having trouble understanding the definition for center of mass and center of gravity.
In my book it says that the center of mass is the point at which we could consider all the mass of the object to be concentrated.
The center of gravity is the point at which the total gravitational force on the object can be considered to act.
I am not sure if this is the right thinking, but
I think that these definitions mean that given an object with a uniform density, not all of the parts that make up the object will have the full mass at a point away from its geocentric center or also full gravity for the same reason. For example, in a Bowling ball, the further out from the geocenter, the point or part of the ball will not be considered to have the full mass of the whole object as opposed to measuring the mass of the ball at the dead center. However, I am not sure how you would measure these to show that the side of the ball will have less mass.
