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: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
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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
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