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A second order underdamped system has a damping ratio of 0.8. It is subjected to a sinusoidal input of unit amplitude. It has resonant peak of
- a)108%
- b)92%
- c)20%
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A second order underdamped system has a damping ratio of 0.8. It is su...
Resonant frequency is given by
For resonant peak
or,
or,
Since ξ > 0.707, therefore there is no Mr (resonant peak).
Most Upvoted Answer
A second order underdamped system has a damping ratio of 0.8. It is su...
Underdamped System with Damping Ratio of 0.8
An underdamped system is one in which the damping ratio is less than 1. In this case, the damping ratio is given as 0.8. This means that the system will oscillate with decreasing amplitude.
Sinusoidal Input of Unit Amplitude
The system is subjected to a sinusoidal input of unit amplitude. This means that the input is in the form of a sine wave with an amplitude of 1.
Resonant Peak
The resonant peak is the maximum amplitude of the system's response to the input. In this case, the system has a resonant peak. However, the exact value of the resonant peak cannot be determined from the given information.
None of These
The correct answer is option D, which states that none of the given options is correct. This is because the exact value of the resonant peak cannot be determined from the given information. To determine the resonant peak, additional information such as the natural frequency of the system is required.
Conclusion
In conclusion, an underdamped system with a damping ratio of 0.8 is subjected to a sinusoidal input of unit amplitude. The system has a resonant peak, but its exact value cannot be determined from the given information. The correct answer is option D, which states that none of the given options is correct.
An underdamped system is one in which the damping ratio is less than 1. In this case, the damping ratio is given as 0.8. This means that the system will oscillate with decreasing amplitude.
Sinusoidal Input of Unit Amplitude
The system is subjected to a sinusoidal input of unit amplitude. This means that the input is in the form of a sine wave with an amplitude of 1.
Resonant Peak
The resonant peak is the maximum amplitude of the system's response to the input. In this case, the system has a resonant peak. However, the exact value of the resonant peak cannot be determined from the given information.
None of These
The correct answer is option D, which states that none of the given options is correct. This is because the exact value of the resonant peak cannot be determined from the given information. To determine the resonant peak, additional information such as the natural frequency of the system is required.
Conclusion
In conclusion, an underdamped system with a damping ratio of 0.8 is subjected to a sinusoidal input of unit amplitude. The system has a resonant peak, but its exact value cannot be determined from the given information. The correct answer is option D, which states that none of the given options is correct.
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A second order underdamped system has a damping ratio of 0.8. It is subjected to a sinusoidal input of unit amplitude. It has resonant peak ofa)108%b)92%c)20%d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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