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Music. You are designing a two-string instrument with

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 58P Chapter 15

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 58P

Music. You are designing a two-string instrument with metal strings 35.0 cm long, as shown in ?Fig. P15.54?. Both strings are under the ?same tension?. String S1 has a mass of 8.00 g and produces the note middle C (frequency 262 Hz) in its fundamental mode. (a) What should be the tension in the string? (b) What should be the mass of string S2 so that it will produce A-sharp (frequency 466 Hz) as its fundamental? (c) To extend the range of your instrument, you include a fret located just under the strings but not normally touching them. How far from the upper end should you put this fret so that when you press S1 tightly against it, this string will produce C-sharp (frequency 277 Hz) in its fundamental? That is, what is x in the figure? (d) If you press S2 against the fret, what frequency of sound will it produce in its fundamental?

Step-by-Step Solution:

Solution 58P Step 1: Free body diagram as shown below Step 2: Given data: The string length L = 35.0 cm Mass of string S is m = 8.00 g 1 Frequency of middle rod C is f = 262 Hz Step 3: The wavelength is given by = 2L and v = f (a).Tension in the string is given by v =T/ = f T = f T = 4L f m/L 2 T = 4L f m 2 T = 4(35.0 cm)(262 Hz) (8.00 g) T = 769 N Step 2: (b).Mass of string S is given by 2 2 T = 4L f m 2 m = T/4Lf 2 m = (769 N)/4(35.0 cm)(466 Hz) m = 2.53 g

Step 3 of 3

Chapter 15, Problem 58P is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 58P from 15 chapter was answered, more than 508 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: string, its, Fundamental, frequency, strings. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “Music. You are designing a two-string instrument with metal strings 35.0 cm long, as shown in ?Fig. P15.54?. Both strings are under the ?same tension?. String S1 has a mass of 8.00 g and produces the note middle C (frequency 262 Hz) in its fundamental mode. (a) What should be the tension in the string? (b) What should be the mass of string S2 so that it will produce A-sharp (frequency 466 Hz) as its fundamental? (c) To extend the range of your instrument, you include a fret located just under the strings but not normally touching them. How far from the upper end should you put this fret so that when you press S1 tightly against it, this string will produce C-sharp (frequency 277 Hz) in its fundamental? That is, what is x in the figure? (d) If you press S2 against the fret, what frequency of sound will it produce in its fundamental?” is broken down into a number of easy to follow steps, and 155 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 58P from chapter: 15 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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