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All of the following statements are correct, except,
- a)the interval of time taken by a vibrating body to complete a cycle is called period.
- b)the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.
- c)in the normal or principal mode of vibration all the moving parts of the system oscillate in phase with the same frequency.
- d)the phenomenon of resonance manifests when the frequency of external exciting force coincides with the natural frequency of the system.
Correct answer is option 'B'. Can you explain this answer?
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All of the following statements are correct, except,a)the interval of ...
Mass does not depend on altitude, so natural frequency remains unaffected.
Most Upvoted Answer
All of the following statements are correct, except,a)the interval of ...
Explanation:
The correct answer is option 'B': the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.
Reason:
To understand why option 'B' is incorrect, let's discuss the concept of natural frequency and how it is affected by altitude.
Natural Frequency:
The natural frequency of a system is the frequency at which it tends to vibrate when disturbed. It depends on the system's physical properties such as mass, stiffness, and damping. The natural frequency is independent of external factors such as altitude.
Effect of Altitude:
Altitude, or the height above sea level, has no direct impact on the natural frequency of a spring-mass system. The natural frequency is determined by the physical characteristics of the system, which remain constant regardless of altitude.
Altitude primarily affects the air density, which can influence the damping of a vibrating system. Damping refers to the dissipation of energy in a vibrating system, and it is influenced by factors such as air resistance or fluid viscosity. However, the effect of altitude on damping is typically negligible for most practical spring-mass systems.
Conclusion:
In summary, the natural frequency of a spring-mass system is not affected by altitude. Therefore, option 'B' is the correct choice as it states an incorrect statement. The other options (A, C, and D) are correct statements regarding the concepts of period, phase, and resonance, respectively.
The correct answer is option 'B': the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.
Reason:
To understand why option 'B' is incorrect, let's discuss the concept of natural frequency and how it is affected by altitude.
Natural Frequency:
The natural frequency of a system is the frequency at which it tends to vibrate when disturbed. It depends on the system's physical properties such as mass, stiffness, and damping. The natural frequency is independent of external factors such as altitude.
Effect of Altitude:
Altitude, or the height above sea level, has no direct impact on the natural frequency of a spring-mass system. The natural frequency is determined by the physical characteristics of the system, which remain constant regardless of altitude.
Altitude primarily affects the air density, which can influence the damping of a vibrating system. Damping refers to the dissipation of energy in a vibrating system, and it is influenced by factors such as air resistance or fluid viscosity. However, the effect of altitude on damping is typically negligible for most practical spring-mass systems.
Conclusion:
In summary, the natural frequency of a spring-mass system is not affected by altitude. Therefore, option 'B' is the correct choice as it states an incorrect statement. The other options (A, C, and D) are correct statements regarding the concepts of period, phase, and resonance, respectively.
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All of the following statements are correct, except,a)the interval of time taken by a vibrating body to complete a cycle is called period.b)the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.c)in the normal or principal mode of vibration all the moving parts of the system oscillate in phase with the same frequency.d)the phenomenon of resonance manifests when the frequency of external exciting force coincides with the natural frequency of the system.Correct answer is option 'B'. Can you explain this answer?
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All of the following statements are correct, except,a)the interval of time taken by a vibrating body to complete a cycle is called period.b)the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.c)in the normal or principal mode of vibration all the moving parts of the system oscillate in phase with the same frequency.d)the phenomenon of resonance manifests when the frequency of external exciting force coincides with the natural frequency of the system.Correct answer is option 'B'. 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 All of the following statements are correct, except,a)the interval of time taken by a vibrating body to complete a cycle is called period.b)the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.c)in the normal or principal mode of vibration all the moving parts of the system oscillate in phase with the same frequency.d)the phenomenon of resonance manifests when the frequency of external exciting force coincides with the natural frequency of the system.Correct answer is option 'B'. 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 All of the following statements are correct, except,a)the interval of time taken by a vibrating body to complete a cycle is called period.b)the natural frequency of a spring-mass system increases if it is made to operate at a very high altitude.c)in the normal or principal mode of vibration all the moving parts of the system oscillate in phase with the same frequency.d)the phenomenon of resonance manifests when the frequency of external exciting force coincides with the natural frequency of the system.Correct answer is option 'B'. Can you explain this answer?.
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