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If the damping factor for a vibrating system is unity then the system is
- a)Critically damped
- b)Over damped
- c)Under damped
- d)Undamped
Correct answer is option 'A'. Can you explain this answer?
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If the damping factor for a vibrating system is unity then the system ...
It means that system is critically damped and C = Cc
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If the damping factor for a vibrating system is unity then the system ...
Damping Factor and Its Importance
The damping factor is a critical parameter in the analysis of vibrating systems, determining how oscillations in a system decay over time. It is denoted by the symbol 'ζ' (zeta).
Definition of Damping Conditions
- Undamped: The system oscillates indefinitely without losing energy. Here, ζ = 0.
- Under-damped: The system oscillates with a gradually decreasing amplitude. Here, 0 < ζ="" />< />
- Critically damped: The system returns to equilibrium as quickly as possible without oscillating. Here, ζ = 1.
- Over-damped: The system returns to equilibrium without oscillating, but slower than in the critically damped case. Here, ζ > 1.
Critically Damped System
A damping factor of unity (ζ = 1) indicates a critically damped system. In this scenario:
- The system has the fastest return to equilibrium without oscillations.
- It is particularly desirable in applications like automotive suspensions and control systems where rapid stabilization is crucial.
Significance of Critical Damping
- Avoids prolonged oscillations that can lead to instability.
- Ensures that the system does not overshoot the equilibrium position, which could cause damage or inefficiency.
In conclusion, when the damping factor is unity, the system is critically damped, allowing for the most efficient stabilization without oscillations. This property is essential in designing systems that require precise control and rapid response to disturbances.
The damping factor is a critical parameter in the analysis of vibrating systems, determining how oscillations in a system decay over time. It is denoted by the symbol 'ζ' (zeta).
Definition of Damping Conditions
- Undamped: The system oscillates indefinitely without losing energy. Here, ζ = 0.
- Under-damped: The system oscillates with a gradually decreasing amplitude. Here, 0 < ζ="" />< />
- Critically damped: The system returns to equilibrium as quickly as possible without oscillating. Here, ζ = 1.
- Over-damped: The system returns to equilibrium without oscillating, but slower than in the critically damped case. Here, ζ > 1.
Critically Damped System
A damping factor of unity (ζ = 1) indicates a critically damped system. In this scenario:
- The system has the fastest return to equilibrium without oscillations.
- It is particularly desirable in applications like automotive suspensions and control systems where rapid stabilization is crucial.
Significance of Critical Damping
- Avoids prolonged oscillations that can lead to instability.
- Ensures that the system does not overshoot the equilibrium position, which could cause damage or inefficiency.
In conclusion, when the damping factor is unity, the system is critically damped, allowing for the most efficient stabilization without oscillations. This property is essential in designing systems that require precise control and rapid response to disturbances.
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If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer?
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If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer?.
If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the damping factor for a vibrating system is unity then the system isa)Critically dampedb)Over dampedc)Under dampedd)UndampedCorrect answer is option 'A'. Can you explain this answer?.
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