Magnetic Oscillation Equations

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    Magnetic Oscillation
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SUMMARY

The discussion focuses on determining mathematical relationships related to magnetic oscillation, specifically involving two ring magnets positioned vertically on a pole. The top magnet is raised 20 centimeters above the bottom magnet and released to oscillate. Key equations include the force relationship between the magnets, derived from Newton's second law (F = ma), and the suggestion to analyze acceleration versus time curves. MATLAB is recommended for performing curve-fits for cosine functions to model the oscillation accurately.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with differential equations
  • Basic knowledge of oscillatory motion
  • Experience with MATLAB for curve fitting
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  • Research the derivation of second order differential equations in oscillatory systems
  • Learn how to model oscillations using MATLAB
  • Explore the integration of forces in magnetic systems
  • Study the principles of harmonic motion and its mathematical representation
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Physics students, experimental physicists, and engineers interested in magnetic oscillation dynamics and mathematical modeling of oscillatory systems.

RAWR15MORE
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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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