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A thrust-producing device is tested in a laboratory by measuring the deflection of a spring element (spring constant K = 750 N/m) attached to the front end of the device. The mass of the device is 25 kg. Assuming that the thrust is idealized as step input to the system. (2002)
(a) Calculate the natural frequency of the system
(b) Calculate the damped natural frequency of the system, if the damping ratio is 0.7
(c) Write the differential equation governing the measuring system
Correct answer is '5.47, 3.83'. Can you explain this answer?
Verified Answer
A thrust-producing device is tested in a laboratory by measuring the ...
Given, K = 750 N/m
m = 25 kg
For thrust to be step input
(a) ran= Natural frequency
(b) Damping ratio = ε1 = 0.7
∴ damped natural frequency = ωd
= rad 3.83rad/s
(c) For thrust to be step input to governing differential equation of the measuring system is as follows:
where C = damping coefficient.
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Most Upvoted Answer
A thrust-producing device is tested in a laboratory by measuring the ...
Given, K = 750 N/m
m = 25 kg
For thrust to be step input
(a) ran= Natural frequency
(b) Damping ratio = ε1 = 0.7
∴ damped natural frequency = ωd
= rad 3.83rad/s
(c) For thrust to be step input to governing differential equation of the measuring system is as follows:
where C = damping coefficient.
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A thrust-producing device is tested in a laboratory by measuring the deflection of a spring element (spring constant K = 750 N/m) attached to the front end of the device. The mass of the device is 25 kg. Assuming that the thrust is idealized as step input to the system. (2002)(a) Calculate the natural frequency of the system(b) Calculate the damped natural frequency of the system, if the damping ratio is 0.7(c) Write the differential equation governing the measuring systemCorrect answer is '5.47, 3.83'. Can you explain this answer?
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A thrust-producing device is tested in a laboratory by measuring the deflection of a spring element (spring constant K = 750 N/m) attached to the front end of the device. The mass of the device is 25 kg. Assuming that the thrust is idealized as step input to the system. (2002)(a) Calculate the natural frequency of the system(b) Calculate the damped natural frequency of the system, if the damping ratio is 0.7(c) Write the differential equation governing the measuring systemCorrect answer is '5.47, 3.83'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A thrust-producing device is tested in a laboratory by measuring the deflection of a spring element (spring constant K = 750 N/m) attached to the front end of the device. The mass of the device is 25 kg. Assuming that the thrust is idealized as step input to the system. (2002)(a) Calculate the natural frequency of the system(b) Calculate the damped natural frequency of the system, if the damping ratio is 0.7(c) Write the differential equation governing the measuring systemCorrect answer is '5.47, 3.83'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thrust-producing device is tested in a laboratory by measuring the deflection of a spring element (spring constant K = 750 N/m) attached to the front end of the device. The mass of the device is 25 kg. Assuming that the thrust is idealized as step input to the system. (2002)(a) Calculate the natural frequency of the system(b) Calculate the damped natural frequency of the system, if the damping ratio is 0.7(c) Write the differential equation governing the measuring systemCorrect answer is '5.47, 3.83'. Can you explain this answer?.
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