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Gain and Phase Shift

Part 3: Parameter Identification

In an experimental situation, we can measure inputs and outputs without knowing the parameters c and k that theoretically describe the oscillator. Indeed, you just did that in Part 2. We can then solve the equations

and

to find c and k from measured values of M and omega.

  1. Decide on a strategy for finding c and k, and carry out your strategy.
  2. Explain your procedure, and cite any confirming evidence that you have found good approximations for c and k.
  3. Using your computed values for c and k, graph the functions M(omega) and phi(omega). The results should resemble your data plots in Part 2.
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