Pendulums and Complex Numbers It gives examples of use of complex numbers,relationship to real quantities.
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Pendulums and Complex Numbers Description

Advertisement Pendulums and Complex Numbers is a Home & Education software developed by KIDware. After our trial and test, the software is proved to be official, secure and free. Here is the official description for Pendulums and Complex Numbers: In the study of quadratic equations, students are introduced to the concepts of imaginary and complex numbers. A common question is: why do we have to worry about imaginary numbers? After all, if they're imaginary, they don't exist! This paper (PENDULUMS AND COMPLEX NUMBERS) gives a real-world example of the use of complex numbers and shows how they ReLaTe to real quantities. We show how a quadratic Equation (and complex numbers) can be used to model the dynamics of a swinging pendulum. Equations for both a normal and an upside-down (inverted) pendulum are developed. We also discuss how we can use mathematics to Balance an Inverted Pendulum (the same concept used in every rocket and missile launch in History). Hopefully, the equations presented can provide a springboard for classroom simulation studies.

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