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There are four samples P, Q, Rand S, with natural frequencies 64, 96, 128 and 256 Hz, respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?
  • a)
    P
  • b)
    Q
  • c)
    R
  • d)
    S
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are four samples P, Q, Rand S, with natural frequencies 64, 96, ...
Explanation:

When a loud pure note of frequency 144 Hz is produced, the samples that will vibrate more perceptibly will be those that have a natural frequency close to 144 Hz. This is because when the frequency of the induced vibration is close to the natural frequency of the sample, the amplitude of the vibration will be maximum.

Calculating the ratios of the induced frequency to the natural frequency for each sample, we get:

- P: 2.25 (144/64)
- Q: 1.5 (144/96)
- R: 1.125 (144/128)
- S: 0.5625 (144/256)

From the ratios, we can see that sample R has the natural frequency closest to the induced frequency and will, therefore, show the most perceptible induced vibration.

Therefore, the correct answer is option 'C' R.
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There are four samples P, Q, Rand S, with natural frequencies 64, 96, 128 and 256 Hz, respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?a)Pb)Qc)Rd)SCorrect answer is option 'C'. Can you explain this answer?
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There are four samples P, Q, Rand S, with natural frequencies 64, 96, 128 and 256 Hz, respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?a)Pb)Qc)Rd)SCorrect answer is option 'C'. 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 There are four samples P, Q, Rand S, with natural frequencies 64, 96, 128 and 256 Hz, respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?a)Pb)Qc)Rd)SCorrect answer is option 'C'. 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 There are four samples P, Q, Rand S, with natural frequencies 64, 96, 128 and 256 Hz, respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?a)Pb)Qc)Rd)SCorrect answer is option 'C'. Can you explain this answer?.
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