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For a vibrating system, if the damping factor is unity, then the system is ________ damped.
- a)Under
- b)Over
- c)Critically
- d)Zero
Correct answer is option 'C'. Can you explain this answer?
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For a vibrating system, if the damping factor is unity, then the syste...
The damping ratio (ζ = c/cc) is a system parameter, that can vary from un-damped (ζ = 0), under-damped (ζ < 1) through critically damped (ζ = 1) to over-damped (ζ > 1)
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For a vibrating system, if the damping factor is unity, then the syste...
Damping in Vibrating System
Damping is the process of reducing the amplitude of vibration of a vibrating system. A vibrating system is said to be critically damped when the damping factor is unity.
Critical Damping
Critical damping is the minimum amount of damping required for a vibrating system to return to its equilibrium position without oscillating. A critically damped system returns to its equilibrium position in the shortest possible time without oscillating.
Types of Damping
There are three types of damping in a vibrating system:
1. Underdamping: If the damping factor is less than the critical damping factor, the system is said to be underdamped. In this case, the system oscillates with decreasing amplitude until it comes to rest.
2. Overdamping: If the damping factor is greater than the critical damping factor, the system is said to be overdamped. In this case, the system returns to its equilibrium position without oscillating, but it takes longer than in the critically damped case.
3. Critical damping: If the damping factor is equal to the critical damping factor, the system is said to be critically damped. In this case, the system returns to its equilibrium position in the shortest possible time without oscillating.
Conclusion
Therefore, for a vibrating system, if the damping factor is unity, then the system is critically damped.
Damping is the process of reducing the amplitude of vibration of a vibrating system. A vibrating system is said to be critically damped when the damping factor is unity.
Critical Damping
Critical damping is the minimum amount of damping required for a vibrating system to return to its equilibrium position without oscillating. A critically damped system returns to its equilibrium position in the shortest possible time without oscillating.
Types of Damping
There are three types of damping in a vibrating system:
1. Underdamping: If the damping factor is less than the critical damping factor, the system is said to be underdamped. In this case, the system oscillates with decreasing amplitude until it comes to rest.
2. Overdamping: If the damping factor is greater than the critical damping factor, the system is said to be overdamped. In this case, the system returns to its equilibrium position without oscillating, but it takes longer than in the critically damped case.
3. Critical damping: If the damping factor is equal to the critical damping factor, the system is said to be critically damped. In this case, the system returns to its equilibrium position in the shortest possible time without oscillating.
Conclusion
Therefore, for a vibrating system, if the damping factor is unity, then the system is critically damped.
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For a vibrating system, if the damping factor is unity, then the system is ________ damped.a)Underb)Overc)Criticallyd)ZeroCorrect answer is option 'C'. Can you explain this answer?
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