Relation between centre of mass and center of gravity?

In summary, the centre of mass and center of gravity are two points in an object that represent the concentration of its mass and weight, respectively. These points may or may not coincide depending on the object's density and external forces. The location of the centre of mass also affects an object's stability, with a stable object having its centre of mass within its base of support. The centre of mass can also be located outside of an object, and it is calculated by finding the weighted average of the positions of all its particles.
  • #1
manoj mishra
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Homework Statement


What is the Relation between center of mass and center of gravity, please compare with simple example. Bco'z i am very confused about it


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The Attempt at a Solution

 
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  • #2
In a non zero uniform gravitational field, they are the same. An oject on planet Earth has the same cm as cg, neglecting any insignificant changes in g for even extremely tall objects (g is assumed constant at 9.81 m/sec^2 near Earth's surface).
 

Related to Relation between centre of mass and center of gravity?

1. What is the difference between centre of mass and center of gravity?

The centre of mass is the point at which the entire mass of an object is considered to be concentrated. This point may or may not coincide with the physical center of the object. On the other hand, the center of gravity is the point at which the entire weight of an object is considered to be concentrated. This point is affected by the gravitational force acting on the object and may change depending on the surrounding gravitational field.

2. How are the centre of mass and center of gravity related?

The center of mass and center of gravity are closely related to each other. In an object with uniform density, these two points will coincide with each other. However, in non-uniform objects or objects affected by external forces, the center of mass and center of gravity may not be at the same point.

3. How does the location of the centre of mass affect an object's stability?

The location of an object's centre of mass is directly related to its stability. If the centre of mass is located within the base of support, the object will be stable. However, if the centre of mass is outside the base of support, the object will be unstable and may topple over.

4. Can the centre of mass be outside an object?

Yes, the center of mass can be outside an object. This can occur in objects with irregular shapes or objects affected by external forces such as wind. In such cases, the centre of mass may not be located within the physical boundaries of the object.

5. How is the centre of mass calculated?

The centre of mass is calculated by finding the weighted average of the positions of all the particles that make up an object. This can be done by dividing the total mass of the object by the sum of the mass of each particle multiplied by its distance from a chosen reference point.

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