INTERFERENCE CAR
Channel: CCL IITGN
Date: 17/12/2018

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There are two sets of wheels in the car and if we replicate the mechanism on the first wheel on the rear wheel we get a car which can draw two sine waves independently and simultaneously. 
We construct a car with a pen holder which is such that the locus of the pen traces the waveform of the sine curve. Further, we show how adjustments to different aspects of the construction lead to changes in the frequency or the amplitude of the waveform. This is driven entirely by the mechanism that is fitted on the front wheels. By additional tweaks to the rear wheels and by shifting the location of where the pen attaches to the overall mechanism, we also design cars that can ``draw'' linear combinations of the sine and the cosine functions. By additional circles on the car, we can get Fourier series, we can add any number of sinusoids so as to approximate any function. A similar machine was made by Michelson almost 100 years ago, although the mechanism for addition of sinusoids and generating sinusoids is completely different.

Now instead of the penholder we have sticks which will draw the two sine waves. We can attach another stick on top of these two sticks and have a pen attached on this output stick such that the pen always moves in a straight line perpendicular to the car. IF the pen is attached on this interference stick in the middle the output shall be average of two sine waves. If the pen is more towards an curve the coefficient of that curve shall be lowered in ratio of the distance and laws of lever. Also the output stick had slots in the end so as to enable the movement of the stick. Notice the length of the interference stick between the two 

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