Which of the following is true about a second-order system with a damping ratio

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Question: Which of the following is true about a second-order system with a damping ratio less than 1?

Options:

Correct Answer: It is underdamped and exhibits oscillatory behavior.

Solution:

A second-order system with a damping ratio less than 1 is underdamped, leading to oscillations in its response.

Which of the following is true about a second-order system with a damping ratio less than 1?

Which of the following is true about a second-order system with a damping ratio less than 1?

Step 1: Understand what a second-order system is. It is a system described by a second-order differential equation.
Step 2: Learn about the damping ratio. The damping ratio is a measure of how oscillations in a system decay after a disturbance.
Step 3: Identify the value of the damping ratio. If the damping ratio is less than 1, it indicates that the system is not heavily damped.
Step 4: Recognize the term 'underdamped.' A system with a damping ratio less than 1 is called underdamped.
Step 5: Understand the behavior of an underdamped system. It will exhibit oscillations in its response to changes or disturbances.

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