Oscillations and Waves
> Oscillations > Nonlinear Systems |
DCS# 3A60.64 |
Pasco driver |
202-17-A3-1 |
function
generator/amplifier |
202-17-A3 |
rod on pivot |
202-17-E5 |
hardware to secure driver |
202-01-E6 |
NOTES
The
driver needs to be secured in place, otherwise it will creep as
it vibrates.
The
amplitude of the driver decreases as the frequency increases
which makes it difficult to demonstrate the onset of stability
by varying the frequency.
Use the newer Pasco driver, which gives the pendulum less
lateral motion.
The
coffee stirrer prototype also works nicely:
An interactive simulation can be found here: http://demonstrations.wolfram.com/VibratingInvertedPendulum/.
REFERENCES
AJP 38, 874, (1970),
AJP 69, 755-768 (2001),
TPT 40, 356-357 (2002).