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Damping and Resonance Investigations Using Laplace Transforms

Part 2: Free Damped Oscillations

  1. Use your helper application to do a similar investigation of the case of free damped oscillations,

    f(t) = 0.

    Plot the oscillations and the envelope curves.

  2. Is the result what you expected? Explain your answer in physical terms.

  3. Change the initial conditions and repeat the investigation. Is the result what you expected?

  4. Solve this system using pencil and paper instead of your helper application. Compare your answer with the answer to steps 1 and 3 above.

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