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Diego Ramos
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The importante fact is that the midline is always occluded by a tree, hence the "eye" located at Origin cannot see the light ray ( midline of the strip) that comes from outside.
Finally I fixed the bug. I replaced the control {{grafica,,"}, ControlType-> InputField, ...} by its Dynamic form Column[{InputField[Dynamic[grafica], String, FieldHint -> "ingrese una funciĆ³n polar. Ej: Cos[1.2t]^2", ...
Pendulum isn't a simple harmonic system, its period (the time for one complete cycle) rely on the amplitude of the swing. Theoretical computations show the period approaches infinity as the amplitude of the swing approaches Pi... that's cool...