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Choo choo! In this challenge, I build on chapter 3 (Oscillating Motion) of the Nature of Code series and L=1.0m, M=1.0kg, thetazero=pi*4.0/5.0, omegadot=pi/5.0 Time step is 10^-6 sec for L=1.0m, M=1.0kg, ThetaZero=pi/4.0, OmegaDot=pi/4.0 Damping factor: ThetaDot*(1.0-3.0E-8) by every time step Time step is ... L=1.0m, M=1.0kg, thetazero=pi/3.0, omegadot=0.5 Time step is 10^-5 sec for In this video, I find (and plot) the equations of motion for a Second order ordinary differential equation solver using

L=1.0m, M=1.0kg, thetazero=pi*2.0/3.0, omegadot=pi/5.0 Time step is 10^-6 sec for The video provides key idea behind un-predictable (chaotic) behavior of a system through example of Periods: Ti=60/(30+i) sec, Length: Li=9.8*(Ti/2/pi)^2 m Mass: Mi=1.0kg, thetazero=pi/6.0 HiroLabo ...

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Last Updated: June 7, 2026

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