What is the relationship between the damping ratio and the type of damping?

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Q: What is the relationship between the damping ratio and the type of damping?

Solution: A damping ratio less than 1 indicates underdamping, equal to 1 indicates critical damping, and greater than 1 indicates overdamping.

Steps: 6

Step 1: Understand what damping is. Damping is a way to reduce the oscillations or vibrations in a system.
Step 2: Learn about the damping ratio. The damping ratio is a number that helps us understand how much damping is in a system.
Step 3: Know the values of the damping ratio. The damping ratio can be less than 1, equal to 1, or greater than 1.
Step 4: Identify what each value means: If the damping ratio is less than 1, it means the system is underdamped (it oscillates).
Step 5: If the damping ratio is exactly 1, it means the system is critically damped (it returns to rest without oscillating).
Step 6: If the damping ratio is greater than 1, it means the system is overdamped (it returns to rest slowly without oscillating).