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

Practice Questions

Q1
Which of the following is true about a second-order system with a damping ratio less than 1?
  1. It is critically damped.
  2. It is underdamped and exhibits oscillatory behavior.
  3. It is overdamped and returns to equilibrium slowly.
  4. It is stable and does not oscillate.

Questions & Step-by-Step Solutions

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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