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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)

Created: 2024/05/01 14:46

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 $\bar{x} = \frac{\int x d m}{\int d m}$ .	Mathematically, it is expressed as $\bar{x} = \frac{\int x d W}{\int d W}$ .

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

Example

References: