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STUDENT RESEA=
RCH
PROJECT: An ongoing project in
physics
The motion of a Dipole moment in periodic magnetic
field. A magnet is subject to=
a
periodic force; its motion can be 1) periodic 2) multiperiod motion 3) chaotic
Magnetic field is provided by Helmholtz coils, a neody=
mium
magnet used as a dipole.

Preliminary r=
esults:
DATA (radian versus time in seconds), collected 240 se=
conds
at 10 Hz.

3D Phase Spac=
e: Basically angle versus angular spe=
ed:

Differenced D=
ata: Generated by x (t)- x(t-1), where =
x is
the angle of the magnet with a fixed direction. Horizontal axis is the data point
number, nit seconds. For exam=
ple,
40 implies 40 * 0.1 =3D 4 seconds into the recording.

Phase space f=
or
differenced data: This co=
bweb
looking object is called a Chaotic Attractor:

Fast Fourier
Transform: This shows the
dominant frequencies of the periodic motion of the magnet in a changing
magnetic field (f =3D 0.44 Hz, amplitude of the input signal is 8 volts).=
p>

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