The simplest answer is to look at it this way. Take a circular piece of steel (not a flat disk but a rod formed into a circle). The center of mass will be in the center of the circle, which is not within the body of the steel.
yes Eg. In a circular ring
The center of gravity always lies within an object, and is the location at which the entire mass can be considered acting at a single point.For a system of more than one object, the center of gravity can lie anywhere between the farthest points of the objects, depending on the distribution of mass. The center of mass is called the barycenter.
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The center of gravity of a solid body does not always lie within the body. An example of this is a hula hoop. The center of gravity does not lie on the hoop that rotates.
The center is at the midpoint; 1/2 Distance between them.
Center of mass is the point where the entire mass of body can be concentrated. As the force applied on a body passes through its center of mass then the body gets displaced other wise that will be rotated about the axis passing through its center of mass.
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Center of mass is defined as the point about which the sum of mass moment vectors of all the points of the body is equal to zero.
No, it may lie outside the body. In case of a circular ring, it is at the centre of the ring which is outside the mass of the ring.
The position of the specific point of center of mass is the point at which the object could be modeled to have all of its mass acting for all intensive purposes.
For a single body, the center of gravity (center of mass) must be within the object. It is the single point at which all of an object's mass can be considered to act. For multiple bodies in a system, the center of mass can fall within a body or anywhere between bodies. The joint center of mass is called the "barycenter."
The centre of mass of a rectangular lamina lies at the point of intersection of its diagonals.