A 2.40-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 17.0 N. (a) What are the frequencies of the first three allowed modes of vibration? f=4.21 = 12.62 Hz Hz Hz f2=8.42 f3 (b) If a node is observed at a point 0.480 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.) The frequency is the fifth state at 10.5 Hz The frequency is the third state at 12.6 Hz The frequency is the fifteenth state at 12.6 Hz The frequency is the fifteenth state at 63.1 Hz The frequency is the fifth state at 21.0 Hz The frequency is the forty-fifth state at 189.4 Hz

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 27P
icon
Related questions
icon
Concept explainers
Topic Video
Question

Solve both parts please.

A 2.40-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 17.0 N.
(a) What are the frequencies of the first three allowed modes of vibration?
f1
4.21
Hz
f₂
2
f3
= 8.42
= 12.62
Hz
Hz
(b) If a node is observed at a point 0.480 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.)
The frequency is the fifth state at 10.5 Hz
The frequency is the third state at 12.6 Hz
The frequency is the fifteenth state at 12.6 Hz
The frequency is the fifteenth state at 63.1 Hz
The frequency is the fifth state at 21.0 Hz
The frequency is the forty-fifth state at 189.4 Hz
Transcribed Image Text:A 2.40-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 17.0 N. (a) What are the frequencies of the first three allowed modes of vibration? f1 4.21 Hz f₂ 2 f3 = 8.42 = 12.62 Hz Hz (b) If a node is observed at a point 0.480 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.) The frequency is the fifth state at 10.5 Hz The frequency is the third state at 12.6 Hz The frequency is the fifteenth state at 12.6 Hz The frequency is the fifteenth state at 63.1 Hz The frequency is the fifth state at 21.0 Hz The frequency is the forty-fifth state at 189.4 Hz
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Simple Harmonic Motion
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
Recommended textbooks for you
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Modern Physics
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning