A string is vibrating back and forth as in Figure 17. l 8a. The tension in the string is decreased by a factor of four, with the frequency and the length of the string remaining the same. Draw the new standing wave pattern that develops on the string. Give your reasoning.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question

A string is vibrating back and forth as in Figure 17. l 8a. The
tension in the string is decreased by a factor of four, with the frequency and the length of the string remaining the same. Draw the
new standing wave pattern that develops on the string. Give your
reasoning. 

Frequency -
1st harmonic
(fundamental)
(a)
-Antinodes-
Frequency = 2j
2nd harmonic
(1st overtone)
(b)
3rd harmonic
(2nd overtone)
Frequency = 3ji
(c)
Figure 17.18 Vibrating a string at
certain unique frequencies sets up
transverse standing wave patterns, such
as the three shown in the photographs
on the left. Each drawing on the right
shows the various shapes that the string
assumes at various times as it vibrates.
role that this simple but powerful principle has played in this chapter. It is an expansion of
the charts in Figures 17.9 and 17.14. 4
Figure 17.18 shows some of the essential features of transverse standing waves. In
this figure the left end of each string is vibrated back and forth, while the right end is at-
tached to a wall. Regions of the string move so fast that they appear only as a blur in the
photographs. Each of the patterns shown is called a transverse standing wave pattern.
Notice that the patterns include special places called nodes and antinodes. The nodes are
places that do not vibrate at all, and the antinodes are places where maximum vibration
occurs. To the right of each photograph is a drawing that helps us to visualize the motion
of the string as it vibrates in a standing wave pattern. These drawings freeze the shape of
the string at various times and emphasize the maximum vibration that occurs at an antin-
ode with the aid of a red dot attached to the string.
The red dots attached to the strings
focus attention on the maximum
vibration that occurs at an antinode.
In each of the drawings, one-half of a
wave cycle is outlined in red. (Richard
Megna/Fundamenta! Photographs)
Transcribed Image Text:Frequency - 1st harmonic (fundamental) (a) -Antinodes- Frequency = 2j 2nd harmonic (1st overtone) (b) 3rd harmonic (2nd overtone) Frequency = 3ji (c) Figure 17.18 Vibrating a string at certain unique frequencies sets up transverse standing wave patterns, such as the three shown in the photographs on the left. Each drawing on the right shows the various shapes that the string assumes at various times as it vibrates. role that this simple but powerful principle has played in this chapter. It is an expansion of the charts in Figures 17.9 and 17.14. 4 Figure 17.18 shows some of the essential features of transverse standing waves. In this figure the left end of each string is vibrated back and forth, while the right end is at- tached to a wall. Regions of the string move so fast that they appear only as a blur in the photographs. Each of the patterns shown is called a transverse standing wave pattern. Notice that the patterns include special places called nodes and antinodes. The nodes are places that do not vibrate at all, and the antinodes are places where maximum vibration occurs. To the right of each photograph is a drawing that helps us to visualize the motion of the string as it vibrates in a standing wave pattern. These drawings freeze the shape of the string at various times and emphasize the maximum vibration that occurs at an antin- ode with the aid of a red dot attached to the string. The red dots attached to the strings focus attention on the maximum vibration that occurs at an antinode. In each of the drawings, one-half of a wave cycle is outlined in red. (Richard Megna/Fundamenta! Photographs)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Longitudinal and transverse waves
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON