So I have tried to model what happens when you light both ends of a

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This discussion focuses on modeling the behavior of a candle lit at both ends, specifically regarding its periodic height variation with increasing amplitude. The model assumes that mass loss is less significant when the candle is higher than the equilibrium line. The user seeks clarification on the relationship between mass loss at the lower end and its effects on the moment of inertia and torque. The model is implemented in MATLAB, and the user acknowledges a script issue that was later resolved.

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  • Basic knowledge of periodic motion and amplitude variation
  • Concept of torque and its relation to mass distribution
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So I have tried to model what happens when you light both ends of a candle, that has a rotation axis around its center of mass. The left end of the candle starts in a lower end than the higher end.
The model is made under the assumption that the mass loss per time is less the higher the candle is over the equilbrium line. Look at this video if confused:
Now I know that the model of the mass loss is not very realistic, but that doesn't really matter to me. What however wonders me is that I get that the height varies periodically but with increasing amplitude. Can someone explain why this would be? I can see that happens in the video to but I'm not sure why. Is it because the mass loss happens at the lower end and thereby only decreases the moment of intertia of the candle, not the torque on the other end?
Also please comment if this model is realistic and how I could make it better.
Oh yes: The model is written in Matlab, so readers are welcome to take a look and see what's going on in it. It's attached.
 

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nevermind - found a problem in my script
 

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