Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 18, Problem 60P
To determine
Find the first five harmonics of the string A, C#, and E and find the nearest equality of the harmonics of each string.
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A violin string of length L=31.8 cm and linear mass density u=0.64gm/is tuned to play an A4 note
at 440.0 Hz. This means that the string is in its mode of oscillation fundamental, that is, it will be
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D. When playing the violin, different notes can be produced depending on the position of the
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initially tuned for an A4, and a finger is placed a third of the way down from the
headstock:
What would be the new fundamental frequency, that is, the frequency of the new
note that is being produced assuming it has the same tension as in part A?
ii.
i.
What would be the new frequency of the note, if instead of using the technique
described above for violin playing, the technique called artificial harmonic is used,
where the string is only partially…
When played in a certain manner, the lowest resonant frequency of a certain violin string is concert A (440 Hz).What is the frequency of the (a) second and (b) third harmonic of the string?
A string with a length of 4 m is held under a constant tension. The string has a linear mass density of μ = 0.006 kg/m. Two resonant frequencies of the string are 400 Hz and 480 Hz. There are no resonant frequencies between the two frequencies. (a) What are the wavelengths of the two resonant modes? (b) What is the tension in the string?
Chapter 18 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 18.1 - Prob. 18.1QQCh. 18.2 - Consider the waves in Figure 17.8 to be waves on a...Ch. 18.3 - When a standing wave is set up on a string fixed...Ch. 18.5 - Prob. 18.4QQCh. 18.5 - Prob. 18.5QQCh. 18 - Prob. 1OQCh. 18 - Prob. 2OQCh. 18 - Prob. 3OQCh. 18 - Prob. 4OQCh. 18 - Prob. 5OQ
Ch. 18 - Prob. 6OQCh. 18 - Prob. 7OQCh. 18 - Prob. 8OQCh. 18 - Prob. 9OQCh. 18 - Prob. 10OQCh. 18 - Prob. 11OQCh. 18 - Prob. 12OQCh. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - Prob. 7CQCh. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Two waves on one string are described by the wave...Ch. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Two pulses traveling on the same string are...Ch. 18 - Two identical loudspeakers are placed on a wall...Ch. 18 - Prob. 9PCh. 18 - Why is the following situation impossible? Two...Ch. 18 - Two sinusoidal waves on a string are defined by...Ch. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - Prob. 16PCh. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - Prob. 20PCh. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - Prob. 25PCh. 18 - A string that is 30.0 cm long and has a mass per...Ch. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - Prob. 33PCh. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - The fundamental frequency of an open organ pipe...Ch. 18 - Prob. 42PCh. 18 - An air column in a glass tube is open at one end...Ch. 18 - Prob. 44PCh. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - Prob. 48PCh. 18 - Prob. 49PCh. 18 - Prob. 50PCh. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - Prob. 53PCh. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 18 - Prob. 56PCh. 18 - Prob. 57PCh. 18 - Prob. 58PCh. 18 - Prob. 59PCh. 18 - Prob. 60PCh. 18 - Prob. 61PCh. 18 - Prob. 62APCh. 18 - Prob. 63APCh. 18 - Prob. 64APCh. 18 - Prob. 65APCh. 18 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 18 - Prob. 67APCh. 18 - Prob. 68APCh. 18 - Prob. 69APCh. 18 - Review. For the arrangement shown in Figure...Ch. 18 - Prob. 71APCh. 18 - Prob. 72APCh. 18 - Prob. 73APCh. 18 - Prob. 74APCh. 18 - Prob. 75APCh. 18 - Prob. 76APCh. 18 - Prob. 77APCh. 18 - Prob. 78APCh. 18 - Prob. 79APCh. 18 - Prob. 80APCh. 18 - Prob. 81APCh. 18 - Prob. 82APCh. 18 - Prob. 83APCh. 18 - Prob. 84APCh. 18 - Prob. 85APCh. 18 - Prob. 86APCh. 18 - Prob. 87CP
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- The lowest note on a piano (the first harmonic vibration) is the "A" note with frequency 27.5 Hz. A 2.00 m long section of the string has mass 428 grams. The vibrating section of the string is 1.96 m long. The tension required to tune the string properly is The frequency of the tenth harmonic vibration of the string is he wavelength of the tenth harmonic vibration of the string is he wavelength of the tenth harmonic vibration of the string isarrow_forwardA violin string of ?=31.8 cm in length and ?=0.64gm⁄ linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its fundamental oscillation mode, i.e., it will be on that note without placing any fingers on it. From this information, Calculate the tension on the string that allows it to be kept in tune.arrow_forwardThe A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 28 cm , and it has a mass of 0.37 g . Under what tension must the string be placed?Express your answer using two significant figures.arrow_forward
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- You know that certain musical notes sound good together— harmonious—whereas others do not. This harmony is related to the various harmonics of the notes. The musical notes C (262 Hz) and G (392 Hz) make a pleasantsound when played together; we call this consonance. As shown, the harmonics of the two notes are either far from each other or very close to each other (within a few Hz). This is the key to consonance: harmonics that are spaced either far apart or very close. The close harmonics have a beat frequency of a few Hz that is perceived as pleasant. If the harmonics oftwo notes are close but not too close, the rather high beat frequencybetween the two is quite unpleasant. This is what we hear as dissonance.Exactly how much a difference is maximally dissonant is a matter of opinion, but harmonic separations of 30 or 40 Hz seem to be quite unpleasant for most people. Would a G-flat (frequency 370 Hz) and a C played together be consonant or dissonant?A. Consonant B. Dissonantarrow_forwardYou know that certain musical notes sound good together— harmonious—whereas others do not. This harmony is related to the various harmonics of the notes. The musical notes C (262 Hz) and G (392 Hz) make a pleasantsound when played together; we call this consonance. As shown, the harmonics of the two notes are either far from each other or very close to each other (within a few Hz). This is the key to consonance: harmonics that are spaced either far apart or very close. The close harmonics have a beat frequency of a few Hz that is perceived as pleasant. If the harmonics oftwo notes are close but not too close, the rather high beat frequencybetween the two is quite unpleasant. This is what we hear as dissonance.Exactly how much a difference is maximally dissonant is a matter of opinion, but harmonic separations of 30 or 40 Hz seem to be quite unpleasant for most people. An organ pipe open at both ends is tuned so that its fundamental frequency is a G. How long is the pipe?A. 43 cm B.…arrow_forwardYou know that certain musical notes sound good together— harmonious—whereas others do not. This harmony is related to the various harmonics of the notes. The musical notes C (262 Hz) and G (392 Hz) make a pleasantsound when played together; we call this consonance. As shown, the harmonics of the two notes are either far from each other or very close to each other (within a few Hz). This is the key to consonance: harmonics that are spaced either far apart or very close. The close harmonics have a beat frequency of a few Hz that is perceived as pleasant. If the harmonics oftwo notes are close but not too close, the rather high beat frequencybetween the two is quite unpleasant. This is what we hear as dissonance.Exactly how much a difference is maximally dissonant is a matter of opinion, but harmonic separations of 30 or 40 Hz seem to be quite unpleasant for most people. If the C were played on an organ pipe that was open at one end and closed at the other, which of the harmonic…arrow_forward
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