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If a spring-mass-dashpot system is subjected to excitation by a constant harmonic force, then at resonance, its amplitude of vibration will be
- a)Infinity
- b)Inversely proportional to damp in
- c)Directly proportional to damping
- d)Decreasing exponentially with time
Correct answer is option 'A'. Can you explain this answer?
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If a spring-mass-dashpot system is subjected to excitation by a consta...
Resonance in a Spring-Mass-Dashpot System
Resonance is a phenomenon that occurs when the frequency of the external force applied to a spring-mass-dashpot system matches the natural frequency of the system. When this happens, the amplitude of vibration of the system increases significantly.
Amplitude of Vibration
The amplitude of vibration refers to the maximum displacement of the mass from its equilibrium position during oscillation.
Constant Harmonic Force
A constant harmonic force is a force that varies sinusoidally with time but has a constant amplitude and frequency.
Infinite Amplitude at Resonance
When a spring-mass-dashpot system is subjected to excitation by a constant harmonic force at resonance, the amplitude of vibration will be infinite. This is because the energy transferred to the system by the external force is stored in the system as kinetic and potential energy. At resonance, the natural frequency of the system matches the frequency of the external force, and the energy transferred to the system is stored in the form of potential energy in the spring. As the amplitude of vibration increases, the amount of potential energy stored in the spring also increases. This leads to a positive feedback loop, causing the amplitude of vibration to continue to increase until it reaches infinity.
Conclusion
In conclusion, when a spring-mass-dashpot system is subjected to excitation by a constant harmonic force at resonance, its amplitude of vibration will be infinite. This is because the energy transferred to the system is stored in the form of potential energy in the spring, leading to a positive feedback loop that causes the amplitude of vibration to continue to increase until it reaches infinity.
Resonance is a phenomenon that occurs when the frequency of the external force applied to a spring-mass-dashpot system matches the natural frequency of the system. When this happens, the amplitude of vibration of the system increases significantly.
Amplitude of Vibration
The amplitude of vibration refers to the maximum displacement of the mass from its equilibrium position during oscillation.
Constant Harmonic Force
A constant harmonic force is a force that varies sinusoidally with time but has a constant amplitude and frequency.
Infinite Amplitude at Resonance
When a spring-mass-dashpot system is subjected to excitation by a constant harmonic force at resonance, the amplitude of vibration will be infinite. This is because the energy transferred to the system by the external force is stored in the system as kinetic and potential energy. At resonance, the natural frequency of the system matches the frequency of the external force, and the energy transferred to the system is stored in the form of potential energy in the spring. As the amplitude of vibration increases, the amount of potential energy stored in the spring also increases. This leads to a positive feedback loop, causing the amplitude of vibration to continue to increase until it reaches infinity.
Conclusion
In conclusion, when a spring-mass-dashpot system is subjected to excitation by a constant harmonic force at resonance, its amplitude of vibration will be infinite. This is because the energy transferred to the system is stored in the form of potential energy in the spring, leading to a positive feedback loop that causes the amplitude of vibration to continue to increase until it reaches infinity.
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If a spring-mass-dashpot system is subjected to excitation by a constant harmonic force, then at resonance, its amplitude of vibration will be a)Infinityb)Inversely proportional to damp in c)Directly proportional to dampingd)Decreasing exponentially with timeCorrect answer is option 'A'. Can you explain this answer?
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If a spring-mass-dashpot system is subjected to excitation by a constant harmonic force, then at resonance, its amplitude of vibration will be a)Infinityb)Inversely proportional to damp in c)Directly proportional to dampingd)Decreasing exponentially with timeCorrect 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 a spring-mass-dashpot system is subjected to excitation by a constant harmonic force, then at resonance, its amplitude of vibration will be a)Infinityb)Inversely proportional to damp in c)Directly proportional to dampingd)Decreasing exponentially with timeCorrect 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 a spring-mass-dashpot system is subjected to excitation by a constant harmonic force, then at resonance, its amplitude of vibration will be a)Infinityb)Inversely proportional to damp in c)Directly proportional to dampingd)Decreasing exponentially with timeCorrect answer is option 'A'. Can you explain this answer?.
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