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Verify that the decay parameter ,8 1,82 coo for an

Chapter 5, Problem 5.20

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QUESTION:

Verify that the decay parameter ,8 1,82 coo for an overdamped oscillator (p > coo) de-creases with increasing p. Sketch its behavior for wo < p < 00.

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QUESTION:

Verify that the decay parameter ,8 1,82 coo for an overdamped oscillator (p > coo) de-creases with increasing p. Sketch its behavior for wo < p < 00.

ANSWER:

Step 1 of 3

The decay parameter in terms of decay constant and frequency is,

……..(1)

Where  is the decay constant and is the actual frequency,

For , let  such that ,

Thus, the equation (1) becomes,

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