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Undamped natural frequency of a second order system has the following influence on the response due to various excitations:
- a)Increase in speed of response and decrease sensitivity
- b)Decrease in speed of response and increase sensitivity
- c)Has no influence in the dynamic response
- d)Increase oscillatory behavior
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Undamped natural frequency of a second order system has the following ...
Answer: a
Explanation: Undamped natural frequency is the frequency that has suffered damping and gets affected by the increase in the speed of response and decrease in sensitivity.
Explanation: Undamped natural frequency is the frequency that has suffered damping and gets affected by the increase in the speed of response and decrease in sensitivity.
Most Upvoted Answer
Undamped natural frequency of a second order system has the following ...
Introduction:
The undamped natural frequency is a characteristic property of a second-order system. It represents the frequency at which the system naturally oscillates when there is no damping present. In this context, the question is asking about the influence of the undamped natural frequency on the system's response to various excitations.
Explanation:
The undamped natural frequency of a second-order system has the following influence on the response due to various excitations:
1. Increase in speed of response:
- The undamped natural frequency determines the speed at which the system responds to an input signal.
- As the undamped natural frequency increases, the system responds faster to changes in the input signal.
- This is because a higher natural frequency corresponds to a higher rate of oscillation, resulting in a quicker response.
2. Decrease sensitivity:
- Sensitivity refers to how much the system's output is affected by changes in the input signal.
- As the undamped natural frequency increases, the system becomes less sensitive to changes in the input signal.
- This is because a higher natural frequency implies a higher level of inherent oscillation, which reduces the influence of external perturbations.
3. No influence on dynamic response:
- The undamped natural frequency does not directly influence the dynamic response of the system.
- The dynamic response is primarily determined by the damping factor, which affects the rate at which the system's oscillations decay.
- However, the undamped natural frequency indirectly affects the dynamic response by influencing the system's speed of response and sensitivity.
4. Increase in oscillatory behavior:
- The undamped natural frequency is directly related to the oscillatory behavior of the system.
- A higher undamped natural frequency leads to a higher frequency of oscillation, resulting in more pronounced oscillatory behavior.
- This can be observed in the system's response as increased amplitude and frequency of oscillations.
Conclusion:
In summary, the undamped natural frequency of a second-order system has a significant influence on the system's response due to various excitations. It affects the speed of response, sensitivity to input changes, and the degree of oscillatory behavior. As the undamped natural frequency increases, the system responds faster, becomes less sensitive to input changes, and exhibits more pronounced oscillations.
The undamped natural frequency is a characteristic property of a second-order system. It represents the frequency at which the system naturally oscillates when there is no damping present. In this context, the question is asking about the influence of the undamped natural frequency on the system's response to various excitations.
Explanation:
The undamped natural frequency of a second-order system has the following influence on the response due to various excitations:
1. Increase in speed of response:
- The undamped natural frequency determines the speed at which the system responds to an input signal.
- As the undamped natural frequency increases, the system responds faster to changes in the input signal.
- This is because a higher natural frequency corresponds to a higher rate of oscillation, resulting in a quicker response.
2. Decrease sensitivity:
- Sensitivity refers to how much the system's output is affected by changes in the input signal.
- As the undamped natural frequency increases, the system becomes less sensitive to changes in the input signal.
- This is because a higher natural frequency implies a higher level of inherent oscillation, which reduces the influence of external perturbations.
3. No influence on dynamic response:
- The undamped natural frequency does not directly influence the dynamic response of the system.
- The dynamic response is primarily determined by the damping factor, which affects the rate at which the system's oscillations decay.
- However, the undamped natural frequency indirectly affects the dynamic response by influencing the system's speed of response and sensitivity.
4. Increase in oscillatory behavior:
- The undamped natural frequency is directly related to the oscillatory behavior of the system.
- A higher undamped natural frequency leads to a higher frequency of oscillation, resulting in more pronounced oscillatory behavior.
- This can be observed in the system's response as increased amplitude and frequency of oscillations.
Conclusion:
In summary, the undamped natural frequency of a second-order system has a significant influence on the system's response due to various excitations. It affects the speed of response, sensitivity to input changes, and the degree of oscillatory behavior. As the undamped natural frequency increases, the system responds faster, becomes less sensitive to input changes, and exhibits more pronounced oscillations.
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Undamped natural frequency of a second order system has the following influence on the response due to various excitations:a)Increase in speed of response and decrease sensitivityb)Decrease in speed of response and increase sensitivityc)Has no influence in the dynamic responsed)Increase oscillatory behaviorCorrect answer is option 'A'. Can you explain this answer?
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