Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 18, Problem 18.60P
An A-major chord consists of the notes called A, C#, and E. It can be played on a piano by simultaneously striking strings with fundamental frequencies of 440.00 Hz, 554.37 Hz, and 659.26 Hz. The rich consonance of the chord is associated with near equality of the frequencies of some of the higher harmonics of the three tones. Consider the first five harmonics of each string and determine which harmonics show near equality.
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A violin string ? = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information:
B. If the midpoint of the chord is displaced 1.80 mm transversely when found in the fundamental mode, what is the maximum speed ??á? of the midpoint of string?
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
on that note without placing any fingers on it. From this information,
D. When playing the violin, different notes can be produced depending on the position of the
fingers of one hand on the string. The usual technique presses the string hard against the
fretboard, reducing the length of the string that can vibrate. If we consider this string
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…
A violin string L = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information:
When playing the violin, different notes may be produced depending on the position of the the fingers of one hand on the string. The usual technique forcefully presses the string against the fingerboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for a La4 note, and a finger is placed one third of the length, down from headstock:
i. What would be the frequency of the new note being produced assuming a tension of 50,26N?
Chapter 18 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 18 - Prob. 18.1QQCh. 18 - Consider the waves in Figure 17.8 to be waves on a...Ch. 18 - When a standing wave is set up on a string fixed...Ch. 18 - Prob. 18.4QQCh. 18 - Balboa Park in San Diego has an outdoor organ....Ch. 18 - In figure OQ18.1 (page 566), a sound wave of...Ch. 18 - A string of length L, mass pet unit length , and...Ch. 18 - In Example 18.1, we investigated an oscillator at...Ch. 18 - Prob. 18.4OQCh. 18 - A flute has a length of 58.0 cm. If the speed of...
Ch. 18 - When two tuning forks are sounded at the same...Ch. 18 - A tuning fork is known to vibrate with frequency...Ch. 18 - An archer shoots an arrow horizontally from the...Ch. 18 - As oppositely moving pulses of the same shape (one...Ch. 18 - Prob. 18.10OQCh. 18 - Suppose all six equal-length strings of an...Ch. 18 - Assume two identical sinusoidal waves are moving...Ch. 18 - Prob. 18.1CQCh. 18 - When two waves interfere constructively or...Ch. 18 - Prob. 18.3CQCh. 18 - What limits the amplitude of motion of a real...Ch. 18 - Prob. 18.5CQCh. 18 - An airplane mechanic notices that the sound from a...Ch. 18 - Despite a reasonably steady hand, a person often...Ch. 18 - Prob. 18.8CQCh. 18 - Does the phenomenon of wave interference apply...Ch. 18 - Two waves are traveling in the same direction...Ch. 18 - Two wave pulses A and B are moving in opposite...Ch. 18 - Two waves on one string are described by the wave...Ch. 18 - Two pulses of different amplitudes approach each...Ch. 18 - A tuning fork generates sound waves with a...Ch. 18 - The acoustical system shown in Figure OQ18.1 is...Ch. 18 - Two pulses traveling on the same string are...Ch. 18 - Two identical loudspeakers are placed on a wall...Ch. 18 - Two traveling sinusoidal waves are described by...Ch. 18 - Why is the following situation impossible? Two...Ch. 18 - Two sinusoidal waves on a string are defined by...Ch. 18 - Two identical sinusoidal waves with wavelengths of...Ch. 18 - Two identical loudspeakers 10.0 m apart are driven...Ch. 18 - Prob. 18.14PCh. 18 - Two sinusoidal waves traveling in opposite...Ch. 18 - Verify by direct substitution that the wave...Ch. 18 - Two transverse sinusoidal waves combining in a...Ch. 18 - A standing wave is described by the wave function...Ch. 18 - Two identical loudspeakers are driven in phase by...Ch. 18 - Prob. 18.20PCh. 18 - A string with a mass m = 8.00 g and a length L =...Ch. 18 - The 64.0-cm-long string of a guitar has a...Ch. 18 - The A string on a cello vibrates in its first...Ch. 18 - A taut string has a length of 2.60 m and is fixed...Ch. 18 - A certain vibrating string on a piano has a length...Ch. 18 - A string that is 30.0 cm long and has a mass per...Ch. 18 - In the arrangement shown in Figure P18.27, an...Ch. 18 - In the arrangement shown in Figure P17.14, an...Ch. 18 - Review. A sphere of mass M = 1.00 kg is supported...Ch. 18 - Review. A sphere of mass M is supported by a...Ch. 18 - Prob. 18.31PCh. 18 - Review. A solid copper object hangs at the bottom...Ch. 18 - Prob. 18.33PCh. 18 - The Bay of Fundy, Nova Scotia, has the highest...Ch. 18 - An earthquake can produce a seiche in a lake in...Ch. 18 - High-frequency sound can be used to produce...Ch. 18 - Prob. 18.37PCh. 18 - Prob. 18.38PCh. 18 - Calculate the length of a pipe that has a...Ch. 18 - The overall length of a piccolo is 32.0 cm. The...Ch. 18 - The fundamental frequency of an open organ pipe...Ch. 18 - Prob. 18.42PCh. 18 - An air column in a glass tube is open at one end...Ch. 18 - Prob. 18.44PCh. 18 - Prob. 18.45PCh. 18 - A shower stall has dimensions 86.0 cm 86.0 cm ...Ch. 18 - Prob. 18.47PCh. 18 - Prob. 18.48PCh. 18 - As shown in Figure P17.27, water is pumped into a...Ch. 18 - As shown in Figure P17.27, water is pumped into a...Ch. 18 - Two adjacent natural frequencies of an organ pipe...Ch. 18 - Why is the following situation impossible? A...Ch. 18 - A student uses an audio oscillator of adjustable...Ch. 18 - An aluminum rod is clamped one-fourth of the way...Ch. 18 - Prob. 18.55PCh. 18 - Prob. 18.56PCh. 18 - In certain ranges of a piano keyboard, more than...Ch. 18 - Prob. 18.58PCh. 18 - Review. A student holds a tuning fork oscillating...Ch. 18 - An A-major chord consists of the notes called A,...Ch. 18 - Suppose a flutist plays a 523-Hz C note with first...Ch. 18 - A pipe open at both ends has a fundamental...Ch. 18 - Prob. 18.63APCh. 18 - Two strings are vibrating at the same frequency of...Ch. 18 - Prob. 18.65APCh. 18 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 18 - The fret closest to the bridge on a guitar is 21.4...Ch. 18 - Prob. 18.68APCh. 18 - A quartz watch contains a crystal oscillator in...Ch. 18 - Review. For the arrangement shown in Figure...Ch. 18 - Prob. 18.71APCh. 18 - Two speakers are driven by the same oscillator of...Ch. 18 - Review. Consider the apparatus shown in Figure...Ch. 18 - Review. The top end of a yo-yo string is held...Ch. 18 - On a marimba (Fig. P18.75), the wooden bar that...Ch. 18 - A nylon siring has mass 5.50 g and length L = 86.0...Ch. 18 - Two train whistles have identical frequencies of...Ch. 18 - Review. A loudspeaker at the front of a room and...Ch. 18 - Prob. 18.79APCh. 18 - Prob. 18.80APCh. 18 - Prob. 18.81APCh. 18 - A standing wave is set up in a string of variable...Ch. 18 - Two waves are described by the wave functions...Ch. 18 - Prob. 18.84APCh. 18 - Review. A 12.0-kg object hangs in equilibrium from...Ch. 18 - Review. An object of mass m hangs in equilibrium...Ch. 18 - Review. Consider the apparatus shown in Figure...Ch. 18 - Prob. 18.88CP
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- A violin string L = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information: When playing the violin, different notes may be produced depending on the position of the the fingers of one hand on the string. The usual technique forcefully presses the string against the fingerboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for a La4 note, and a finger is placed one third of the length, down from headstock: i. What would be the frequency of the new note being produced assuming a tension of 50,26N ? ii. What would the new frequency be, if instead of using the described technique previously to play the violin, the technique called harmonic is used, where the string is only partially depressed so that a node is produced on the string in that position,…arrow_forwardWhen 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?arrow_forwardA 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?arrow_forward
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