Yes . If the center of pressure, for the vehicle as a whole, is not located behind the center of gravity (away from the direction of the flight path), then the vehicle will have unstable motion and can tumble. Adding fins to the rear of the vehicle (or increasing fin surface area) will move the center of pressure aft, affording stable flight. A similar effect can be produced by adding weight to the front of the vehicle.
For a uniform symmetric body in all directions the center of mass and center of gravity are the same point.
yes its coincide in the case of maxwell's top
Yes, as long as the gravitational field is "uniform".
None
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.
Only if the object is homogeneous, i.e. the mass is uniformly distributed. If the object is lumpy, or has thick spots and thin spots, then the center of gravity isn't related to the geometric shape. Consider a see-saw with a light kid on one end and a heavy kid on the other end. The geometric center is the mid-point of the board, but the center of gravity is closer to the heavy kid.
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.
Center of gravity = center of mass, for most practical purposes. Mainly, the center of mass is the place where you imagine the mass to be concentrated. However, as a result, you can also consider inertia and weight to be concentrated at the center of mass.
If the gravity is not constant over the body.
yes the centroid of the rectangle coincide with the intersection of the diagonals with the center of mass
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 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.
Only if the object is homogeneous, i.e. the mass is uniformly distributed. If the object is lumpy, or has thick spots and thin spots, then the center of gravity isn't related to the geometric shape. Consider a see-saw with a light kid on one end and a heavy kid on the other end. The geometric center is the mid-point of the board, but the center of gravity is closer to the heavy kid.
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.
Center of gravity is supposed to act at the centroid of the body. while center of buoyancy is the center of gravity of fluid displaced . so they cant be at single point. if the body is completely submerged and homogenous then both cg and cb will coincide