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Observations of a forced oscillator, physical
and mathematical modeling of its dynamics, and comparisons
between predicted and actual behavior.
Authors: William
Siegmann, William
Boyce, Kevin Craig, Jessica Cavanaugh, Karen Leary, Celal Tufekci, Jeongmin Lee, Christine Goering |
Keywords:
differential equations, mechanical oscillations, spring, mass, damper, damping, forced, forcing |
Learning Level: college |
Platform: Project
Links base technical requirements |
Applets: Sine + Cosine, Beats, AF Plotter, Damped Forced Spring Mass, Undamped Forced Spring Mass |
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In
this module, you will:
- Visualize and explore superposition of waves to synthesize
wave forms.
- Introduce the concept of the spectrum of a function.
- Examine specific wave forms and their decomposition.
- Understand the error in truncating a series representation
of a periodic function.
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Observations of a linear pendulums, physical and mathematical
modeling of its dynamics, and comparisons between predicted
and actual behavior.
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Observations of systems with two masses and
three springs, physical and mathematical modeling of their
dynamics, comparisons between predicted and actual behavior,
and extensions to systems with more masses and springs.
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Observations of a non-linear pendulums, physical and mathematical
modeling of its dynamics, and comparisons between predicted
and actual behavior.
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Observations of a mass-spring system, physical
and mathematical modeling of its dynamics, and comparisons
between predicted and actual behavior.
Authors: William
Siegmann, William
Boyce, Kevin Craig, James Fairweather, Brian Griglak, Celal Tufekci, Karen Leary, Jessica Cavanaugh, Jeongmin Lee, Franklin Turner, Rahul Kulkarni, Laura Gross, Christine Goering, Sean Russell |
Keywords:
differential equations, mechanical oscillations,
spring, mass, damper, damping |
Learning Level: college |
Platform: Project
Links base technical requirements |
Applets: Undamped Spring Mass, Damped Spring Mass, Sine + Cosine |
[
Full Metadata ] |
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Observations of a spring pendulum system,
physical and mathematical modeling of its dynamics, and comparisons
between predicted and actual behavior.
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Interactive simulation of the vibrating string;
comparison with experimental data. Interactive derivation
of the solution of the wave equation for the vibrating string.
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