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.
It will always lie on a diameter.
If the point's ordinate, or y-coordinate, is zero then it must lie on the x-axis somewhere.
Since it is possible to draw a line through any two points, if there is a point that does not lie on the same line, it must be a third point.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
non-coplanar points are points that does not lie on the same plane... by:GRAETIA VILLANUEVA...
The centre of mass of a rectangular lamina lies at the point of intersection of its diagonals.
no]
The center is at the midpoint; 1/2 Distance between them.
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.
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.
No the centre of mass of a solid object not necessarily lie within the object because solid object is not in a symmetric shape and not equaly distribute
halfway between two objects .
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.
Not necessarily. Think of a wedding ring or a motor helmet.
It will always lie on a diameter.
By "uniformly distributed" I would assume you mean the object has constant density. So, taking that assumption, the answer is: no, not necessarily. IF and ONLY IF the object has constant density throughout AND it is symmetric about all three axes can you say its center of gravity (a.k.a, center of mass) is at its (geometric) center. But there are plenty of objects (the Earth) that do not have constant density, but the distribution of the density is symmetric (the earth's various layers form [nearly] spherical shells all sharing the same focus [centerpoint] of symmetry).There are also many shapes I'm sure you can think of that can be constant density that are not symmetric and really require further analysis to determine their center of mass. A common example is an object having an "L" shape, where there are two "legs" of equal or different lengths. Try balancing something having that shape and find where the center of mass is by find where you can hold it on your fingertip and get it to balance. More than likely, the balancing point (since balancing implies a gravitational pull, then the term "center of gravity" is appropriate) won't be at the intersection of the two legs, but rather it will be offset inside the longer leg. Why? Because, even though the density (mass distribution) is constant, the longer leg contributes more to the overall mass.