Regarding the issue of the center of gravity of an object, talk about the center of gravity of an ob

For objects with uniform mass distribution (homogeneous objects), the position of the center of gravity is only related to the shape of the object. For example, the center of gravity of a uniform thin straight rod is at the midpoint of the rod, the center of a uniform sphere is at the center of the sphere, and the center of gravity of a uniform cylinder is at the midpoint of the axis. The center of gravity of an irregular object can be determined by the suspension method.

The center of gravity of an object, not necessarily on the object.

In the case of an object with uneven mass distribution, the position of the center of gravity is not only related to the shape of the object, but also to the distribution of mass within the object. The center of gravity of a truck changes with how much is loaded and where it is loaded, and the center of gravity of a crane changes with the weight and height of the object being lifted.

If a line or slice of the center of gravity divides an object or figure into two parts, the volume or area of the two parts is not necessarily equal. (Not all lines or slices that pass through the center of gravity divide the area or volume of an object or figure, for example, a straight line that passes the center of gravity of a regular triangle and parallels divides the triangle into two parts with an area ratio of 4:5.)

This can be explained by the principle of leverage in physics: the distance from the center of gravity of the two graphs divided into the center of gravity of the triangle is equivalent to the two arms of the lever, and the area of the two figures is equivalent to the two forces of the lever. Because the center of gravity is equivalent to the point where the area of two figures is "concentrated" into a point (see the definition of center of gravity).

As in the example above, the distance from the center of gravity of the two shapes to the center of gravity of the triangle is exactly equal to 5:4. If you are interested, you can use the Geometry Artboard software to draw proof. ）

The center of gravity of an object depends on the mass distribution of the object. Mass distribution understands, right? In the case you are talking about, the weight of the heavy object will change the center of gravity because the mass of the position where the heavy object is located increases, that is, the mass distribution of the crane changes.

As for the question of height, because the position of the weight has changed, the position of the mass of this part has changed, the mass distribution of the crane has changed. So both of these situations will change the center of gravity of the crane.

You think, when you were in junior high school physics, you learned the power arm resistance arm, and the weight is high, of course, the power arm is bigger, and vice versa.

By the way,,, how old are you???

If the weight is lifted, then a large part of the mass is lifted to a high place, so the center of gravity of the crane weights system will naturally be improved!

The position of the center of gravity of the object, the mass of the object is evenly distributed, and it is only related to the shape of the object.

The center of gravity is the point at which the resultant force of all the constituent fulcrums of the gravity force passes through the object in any direction in the gravitational field. The center of gravity of a regular and uniform object is its geometric center. The center of gravity of an irregular object can be determined by the suspension method.

The center of gravity of an object, not necessarily on the object.

The point at which the resultant force of gravity on each part of the object is applied. Every tiny part of an object is subject to gravity (see Gravitational Force), which can be approximated as a system of intersecting forces at the center of the Earth. Since the size of an object is much smaller than the radius of the Earth, the gravitational force acting on an object in general can be approximated as a parallel force system, and the total weight of the object is the resultant force of these gravitational forces.

If the volume and shape of an object are constant, the gravitational force on the object will always pass through a determined point in the coordinate system fixed to the object, i.e., the center of gravity, regardless of the direction the object is in to the ground. The center of gravity is not necessarily on the object, for example the center of gravity of a ring is not on the ring, but on its center of symmetry.

The position of the center of gravity is of great significance in engineering. For example, for the crane to work normally, its center of gravity position should meet certain conditions, and the floating stability of the ship is also related to the position of the center of gravity; If the center of gravity of a high-speed rotating machine is not on the axis, it will cause violent vibrations, etc.

Not necessarily. The center of gravity is the point at which the resultant force of all the constituent fulcrums of the gravity force passes through the object in any direction in the gravitational field. The center of gravity of a regular and uniform object is its geometric center.

The center of gravity of an irregular object can be determined by the suspension method. The center of gravity of an object, not necessarily on the object.

The center of gravity is the equivalent point of gravity of the whole, in fact, every part of the object is subject to gravity, and the force of other parts can be moved to the center of gravity, so that the problem is very simple, the center of gravity of a regular shape object hits its geometric center, but it is not a real gravity action point such as a uniform ring, its center of gravity is on the center of the circle, not on the ring.

Example: A ring, the center of gravity is not on the ring.

Here are some ways to find the center of gravity of an object with an irregular shape or uneven mass.

a.Suspension method

Apply only to thin sheets (not necessarily uniform). First find a thin rope, find a point on the object, hang it with a rope, draw the gravity line after the object is stationary, and find a little bit of suspension in the same way, the intersection of the two gravity lines is the center of gravity of the object.

b.Support method

Apply only to fine sticks (not necessarily uniform). Supporting the object with a fulcrum, constantly changing position, the more stable the position, the closer to the center of gravity.

One possible workaround is to use two fulcrums to support and then apply a smaller force to bring the two fulcrums closer together, because the fulcrum closer to the center of gravity will have more friction, so the object will move with it, bringing the other fulcrum closer to the center of gravity, so that the approximate position of the center of gravity can be found.

c.Pintop method

The same applies only to thin sheets. Use a thin needle against the underside of the board, and when the board is able to maintain balance, the top of the needle is positioned close to the center of gravity.

In the same way as the support method, you can use the method of approaching three thin needles to each other to find the range of the center of gravity, but this is not as convenient as the workaround of the support method.

d.Use the plumb line to find the center of gravity(Any shape, uniform texture).

Hang it with a rope at one end of it, and then hang it on this end with a plumb line (trace it down). Then use the same method to make another line. The intersection of two lines is its center of gravity.

We are used to say that objects are subject to the gravitational force of the earth, and if matter has the smallest unit, we call it a primitive. The graviton acts on the primitives to form the gravitational force, which is the gravitational force of matter. If we squeeze all the spine blind primitives into a single point, that point is the center of gravity of matter.

Gravitons move in space at the speed of light and in any direction. We know that the motion of particles has a wave-particle duality, and the gravitons do not interfere with each other when they meet and do not occupy space with each other. Therefore, when we analyze objects near the Earth, we are only affected by the forces in the direction of the line between the center of gravity of matter and the center of gravity of the Earth, and the forces in the other directions are canceled out.

And between matter and the earth, the area surrounded by the inner tangent of the two, the density of the graviton in the direction of the line of gravity of the center of gravity of the two is less than the density outside. This causes gravitons to squeeze inward in the direction of the line between matter and the Earth's center of gravity, which is the reason for the formation of gravitational force and the cause of the Earth's gravity.

Because the density of matter is not uniform, the position of the center of gravity of the substance is not necessarily the center of the volume of the matter, and it may also be outside the matter. For the same substance, we can use the suspension method to measure the center of gravity of the substance, that is, take two points on an object, and hang the object with a rope respectively, and the intersection point of the rope's projection on the object is the center of gravity of the object. In addition, it is two or more objects that form a system, and this system also has a common center of gravity in the spring sky.

For example, the Earth and the Moon form the Earth-Moon system, and the Earth-Moon system has a common center of gravity, but the mass of the Earth is much larger than that of the Moon, so their common center of gravity is on the Earth, so it seems that the Moon is revolving around the Earth, but in fact they are moving around their common center of gravity.