Magnetic Oscillation Equations

AI Thread Summary
The discussion focuses on determining mathematical relationships related to magnetic oscillation in an experimental setup involving two ring magnets. Participants suggest starting with the force between the magnets and integrating to find acceleration, recommending the use of F = ma to solve the resulting second-order differential equation. For analyzing the motion, an acceleration versus time curve is advised. Additionally, MATLAB is recommended as a suitable program for performing curve-fits for cosine functions. Overall, the conversation emphasizes the importance of foundational physics principles in modeling the oscillation.
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Hi all,

I am wondering if someone can please help me with determining the mathematical relationships concerned with magnetic oscillation.

My experimental design is as follows:
A thin pole is positioned vertically and two ring magnets are placed on it (North Poles facing). The "top" magnet is raised to a point 20 centimeters above the bottom magnet, and it is released. The top magnet is allowed to oscillate.

Can someone please help me with determining ANY mathematical relationships to do with this topic, such as a position versus time equation. Also, if someone would be able to recommend a program that will perform curve-fits for cosine functions, it would be much appreciated.
Thanks, RC.
 
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first u have to find out the force of one pole over other...by integrating it all over...
den for small displacement ...making appropriate assumptions.. find acceleration..
it wud be better if u go for acceleration vs time curve...
for curve fittin..MATLAB do the best job...there are other tools too...
 
Ignoring induced currents and such more, you probably want to use F = ma and solve the resulting second order differential equation.
 

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