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Created: 2024/05/01 14:46
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# Introduction

| Center of mass                                                                                | Center of gravity                                                                               |
| --------------------------------------------------------------------------------------------- | ----------------------------------------------------------------------------------------------- |
| It is the point at which the *entire mass* of an object can be considered to be concentrated. | It is the point at which the *entire weight* of an object can be considered to be concentrated. |
| It is independent of gravitational field.                                                     | It depends on gravitational field.                                                              |
| Mathematically, it is expressed as $\bar{x}=\frac{\int{xdm}}{\int{dm}}$.                      | Mathematically, it is expressed as $\bar{x}=\frac{\int{xdW}}{\int{dW}}$.                        |

> [!Note] Note
> In an uniform gravitational field, both center mass and center of gravity is the same for an object.

# Example

![](../../../Resources/Pasted%20image%2020240501150900.png)

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References:

- [Lec (01).pdf](https://1drv.ms/b/s!AnZtASMIIJGgoMR_cqjNdLs6gr0j7A?e=Epc6so)
- https://chat.openai.com/share/372ce1da-dd9d-4dec-9943-d09284ec2830
- [Center of Mass (gsu.edu)](http://hyperphysics.phy-astr.gsu.edu/hbase/cm.html)