Which of the following indicates an underdamped system in a second-order transfe
Practice Questions
Q1
Which of the following indicates an underdamped system in a second-order transfer function?
Damping ratio less than 0.
Damping ratio equal to 0.
Damping ratio between 0 and 1.
Damping ratio greater than 1.
Questions & Step-by-Step Solutions
Which of the following indicates an underdamped system in a second-order transfer function?
Step 1: Understand what a second-order transfer function is. It is a mathematical representation of a system that can be described by a second-degree polynomial.
Step 2: Identify the damping ratio, which is a value that helps determine the behavior of the system. It is usually denoted by the Greek letter 'zeta' (ζ).
Step 3: Know the range of the damping ratio. For an underdamped system, the damping ratio (ζ) must be greater than 0 but less than 1 (0 < ζ < 1).
Step 4: Recognize that an underdamped system will exhibit oscillations in its response to inputs, meaning it will overshoot and oscillate around the desired value before settling.
Step 5: Conclude that if you see a damping ratio between 0 and 1 in a second-order transfer function, it indicates an underdamped system.
