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1.2 Definitions, equations and graphs 

1.2.1 Definition of Simple Harmonic Motion (SHM):           LO (d)

A motion where the  acceleration a of an object is always directed towards a fixed point ( the equilibrium position O ) and proportional to its displacement x from the fixed point is said to be  be simple harmonic. 

        Defining equation of SHM

a =  - ω2 x

Observe from the model or the animation, suggest the reason for the negative sign.

The negative sign means a is always directed towards the equilibrium point while x is pointing away from equilibrium point O.

In other words a and x are in the opposite direction.                                  Model:

  1. Run Sim


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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



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Cover art

Other Resources

  1. Simple Harmonic Motion Tutorial by ukukuku

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