A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the vire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes f vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in what mode and with what frequency is it vibrating? (c) If this wire can be used to create sound wave as part of a musical instrument, what is the frequency and wavelength of the ound wave created if the string is oscillating in its fundamental mode?

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Chapter1: Units, Trigonometry. And Vectors
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A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the
wire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes
of vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in
what mode and with what frequency is it vibrating? (c) If this wire can be used to create
a sound wave as part of a musical instrument, what is the frequency and wavelength of the
sound wave created if the string is oscillating in its fundamental mode?
Transcribed Image Text:A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes of vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in what mode and with what frequency is it vibrating? (c) If this wire can be used to create a sound wave as part of a musical instrument, what is the frequency and wavelength of the sound wave created if the string is oscillating in its fundamental mode?
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