## 10.2.4 Horizontal Spring Mass Model Acceleration versus Position JavaScript HTML5 Applet Simulation Model

- Details
- Parent Category: 02 Newtonian Mechanics
- Category: 09 Oscillations
- Created: Thursday, 20 August 2015 15:00
- Last Updated: Thursday, 25 May 2017 15:46
- Published: Thursday, 21 April 2016 15:00
- Hits: 4241

### About

### 1.2.4 Acceleration

From v = v_{o} cos ω t = x_{0} ω cos ω t

where x_{o} is the maximum displacement

differentiating we get

$$a=\frac{dv}{dt}=-{\omega}^{2}({x}_{0}sin\omega t)=-{\omega}^{2}x$$Variation with time of acceleration

## In terms of x:

Therefore, a = - xo ω

^{2}sin ω t

= - ω

^{2}(x

_{o}sin ω t)

which is the defining equation for S.H.M. !

a = - ω

^{2}x

Variation with displacement of acceleration

since

a = – a

_{0}sin ω t

where a

_{o}is the maximum acceleration

where by a

_{0}= ω

^{2}(x

_{o)}

### 1.2.3.1 Model:

### Translations

Code | Language | Translator | Run | |
---|---|---|---|---|

### Software Requirements

Android | iOS | Windows | MacOS | |

with best with | Chrome | Chrome | Chrome | Chrome |

support full-screen? | Yes. Chrome/Opera No. Firefox/ Samsung Internet | Not yet | Yes | Yes |

cannot work on | some mobile browser that don't understand JavaScript such as..... | cannot work on Internet Explorer 9 and below |

### Credits

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