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https://github.com/qxresearch/simple-harmonic-motion

Plotting Simple Harmonic Motion Graphs and animations using Python (Matplotlib | Numpy | Scipy) 🌌
https://github.com/qxresearch/simple-harmonic-motion

matplotlib physics pyton qxresearch

Last synced: 2 months ago
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Plotting Simple Harmonic Motion Graphs and animations using Python (Matplotlib | Numpy | Scipy) 🌌

Host: GitHub
URL: https://github.com/qxresearch/simple-harmonic-motion
Owner: qxresearch
License: mit
Created: 2021-04-13T07:28:40.000Z (almost 4 years ago)
Default Branch: main
Last Pushed: 2021-04-21T13:23:15.000Z (almost 4 years ago)
Last Synced: 2024-02-29T18:33:55.259Z (11 months ago)
Topics: matplotlib, physics, pyton, qxresearch
Language: Python
Homepage:
Size: 83 KB
Stars: 15
Watchers: 5
Forks: 6
Open Issues: 0
Metadata Files:
- Readme: README.md
- License: LICENSE

Awesome Lists containing this project

README

        


  

    

  

  
Simple Harmonic Motion

  

    Plotting SHM Graph using Python (Matplotlib | Numpy)

      


    


  


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### Abstract

Programming is influencing all disciplines and helping scientiests discover in the field of Science and Mathematics with the help of technology. The concept of Simple Harmonic Motion is uded to create graph of waves using Python(Numpy | Matplotlib | Scipy) where the user can make changes to the amplitutde, initial phase and frequency of the wave. User can also add a decay or damping constant. User can also plot any SHM graphs using this program. As a demonstration spring simulation has been given in .py format.







### What is SHM? 

In mechanics and physics, simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude and acts towards the object's equilibrium position.

### Math behind SHM

- SHM can be modeled as sin or cosine wave moving forward with time t

- Equation of SHM is: y = A sin(𝝎t+ 𝜽), we plot time t on X axis and correponding position on Y axis

A = amplitude, 𝝎 = angular frequency, 𝜽 = initial phase



  

    

  

  


    Fig. Simple Harmonic Motion

  


### Algorithm

- Set size of each step and number of total steps

- Define a function (data_gen) will compute the value of the wave at each point in time t from 0 second in steps of 0.5s for a 1000 times

- Creating a set of arrays to store these values as required for plotting, one for X axis and different array for values of Y axis 

### How the program works? 

- Program SHM-1.py is console based user defined program where user can change: frequency, apmlitude and intial phase 

- Program SHM-2.py will plot a spring simulation 

- Download the code and run(double click) the .py file to plot the graph

 

 

### Demo: 



  

    

    

  

 

 


### README

```

📑 If you think this project has helped you learn something new you can give a star 

📑 If you think it's a bad project do point out 'why' and spam the issue section 🚩 

```




### Contributing

Any kind of contributions to `qxreseach/Simple-Harmonic-Motion` are welcome. While creating an issue(for this project) use `Request-Feature` Label.

1. [Fork](https://github.com/qxresearch/Simple-Harmonic-Motion/fork) the Project

2. Commit your Changes

3. Open a [Pull Request](https://github.com/qxresearch/Simple-Harmonic-Motion/pulls)

### Become Official Member @qxresearch

* Join Mozilla Group [@qxresearch](https://community.mozilla.org/en/groups/qx-research/)

* Join Telegram Group [@qxresearch](https://t.me/qxresearch)

* email me your GitHub id (**subject**: GitHub id @qxresearch)



  


    


    


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