For a uniform symmetric body in all directions the center of mass and center of gravity are the same point.
Comment: I would say this happens when the force of gravity is the same at all points on a body. That means there are no variations in the gravitational field.
I think you mean the center of gravity - and that's the center of mass: that point where there is equal mass on all sides- i.e. the balance point.
No, there should be an equal mass distribution to have its center of gravity at 50 cm mark
Since gravity is produced by mass, the center of mass is also the center of gravity. The only difference between these two concepts is that mass is a more basic quantity, so the center of mass would also be the center of inertia, as well as the center of gravity. In practice, these terms can be used interchangeably.
The center of mass and center of gravity serve two separate purposes. As an individual, your center of gravity and center of mass remains the same. The earth has a center of mass. The moon has a center of mass. The moon does not orbit the earth. They orbit their center of gravity. Their center if gravity is always changing. It is not a fixed point. When an airplane takes off, its center of gravity is one place. As it burns fuel, its center of gravity changes. It might be necessary to change its attitude, which today is done automatically by computers. The computers are checked at the end of the flight by human beings.
If the object is homogeneous, its center of mass is in its geometrical center. And if it is small compared to Earth, its center of gravity is, for all practical purposes, its center of mass.
For two point masses of equal mass, the center of gravity is the center of mass and is located midway between the two point masses.
I think you mean the center of gravity - and that's the center of mass: that point where there is equal mass on all sides- i.e. the balance point.
No, there should be an equal mass distribution to have its center of gravity at 50 cm mark
Since gravity is produced by mass, the center of mass is also the center of gravity. The only difference between these two concepts is that mass is a more basic quantity, so the center of mass would also be the center of inertia, as well as the center of gravity. In practice, these terms can be used interchangeably.
Weight is technically the force that gravity exerts on you. Mass is how much matter you "are". Mass times the acceleration of gravity will equal your weight. Newton discovered that the force of gravity [your weight] is equal to a constant times the mass of the planet times the mass of you all divided by the radius to the center squared. This equation shows that the weight is inversely proportional to the radius to the center squared. Thus, as the radius to the center increases, the weight will decrease. So if you move away, your weight will decrease.
the center of gravity is your step mom's BFF
yes
The center of mass and center of gravity serve two separate purposes. As an individual, your center of gravity and center of mass remains the same. The earth has a center of mass. The moon has a center of mass. The moon does not orbit the earth. They orbit their center of gravity. Their center if gravity is always changing. It is not a fixed point. When an airplane takes off, its center of gravity is one place. As it burns fuel, its center of gravity changes. It might be necessary to change its attitude, which today is done automatically by computers. The computers are checked at the end of the flight by human beings.
That all depends on the shape of the object and how its mass is distributed. The center of gravity of a solid sphere is at the center of the solid sphere. The center of gravity of a solid cube is at the center of the solid cube. The Earth's center of gravity is at the center of the Earth, and there's certainly plenty of mass there. But the center of gravity of a ring is at the center of the ring ... an open space where the finger goes.
The center of mass is a geometrical measurement not considering the weight distribution. The center of gravity is one location on a particular mass structure where the distribution of weight is the same no matter the direction of the measurement as it pertains to that one particular mass structure.
Toward the center of mass of the object or objects attracting you. Gravity also pulls it/them toward the center of mass of you.
If the object is homogeneous, its center of mass is in its geometrical center. And if it is small compared to Earth, its center of gravity is, for all practical purposes, its center of mass.