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For a second order system, damping ratio (𝜉), 𝑖𝑠 0 < 𝜉 < 1, then the roots  of the characteristic polynomial are ____Select one:a. real but not equalb. complex conjugatesc. imaginaryd. real and equal

Question

For a second order system, damping ratio (𝜉), 𝑖𝑠 0 < 𝜉 < 1, then the roots  of the characteristic polynomial are ____Select one:a. real but not equalb. complex conjugatesc. imaginaryd. real and equal

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Solution

The roots of the characteristic polynomial for a second order system with a damping ratio (𝜉) between 0 and 1 are complex conjugates.

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