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Which of the following is a characteristic of a second-order underdamped system?

Practice Questions

Q1
Which of the following is a characteristic of a second-order underdamped system?
  1. No oscillations
  2. Oscillations with decreasing amplitude
  3. Oscillations with constant amplitude
  4. Instantaneous response

Questions & Step-by-Step Solutions

Which of the following is a characteristic of a second-order underdamped system?
  • Step 1: Understand what a second-order system is. It means the system's behavior is described by a second-degree differential equation.
  • Step 2: Know what underdamped means. It refers to a system that oscillates but does not settle quickly.
  • Step 3: Recognize that in an underdamped system, the oscillations occur around a steady state.
  • Step 4: Observe that the amplitude of these oscillations decreases over time, meaning they get smaller.
  • Step 5: Conclude that a characteristic of a second-order underdamped system is that it exhibits oscillations that gradually decrease in amplitude.
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