A 2.35-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 15.0 N. (a) What are the frequencies of the first three allowed modes of vibration? 1 = |4.021 f2 = 8.042 f3 = 12.02 Hz V Hz Hz (b) If a node is observed at a point 0.470 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.) O The frequency is the twentieth state at 79.9 Hz O The frequency is the tenth state at 39.9 Hz V The frequency is the fifth state at 20.0 Hz

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A 2.35-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 15.0 N.
(a) What are the frequencies of the first three allowed modes of vibration?
f, = 4.021
Hz
f2 = 8.042
Hz
f3 = 12.02
Hz
(b) If a node is observed at a point 0.470 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.)
O The frequency is the twentieth state at 79.9 Hz
O The frequency is the tenth state at 39.9 Hz
V The frequency is the fifth state at 20.0 Hz
O The frequency is the second state at 8.0 Hz
O The frequency is the fifth state at 10.0 Hz
O The frequency is the tenth state at 8.0 Hz
Transcribed Image Text:A 2.35-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 15.0 N. (a) What are the frequencies of the first three allowed modes of vibration? f, = 4.021 Hz f2 = 8.042 Hz f3 = 12.02 Hz (b) If a node is observed at a point 0.470 m from one end, in what mode and with what frequency is it vibrating? (Select all that apply.) O The frequency is the twentieth state at 79.9 Hz O The frequency is the tenth state at 39.9 Hz V The frequency is the fifth state at 20.0 Hz O The frequency is the second state at 8.0 Hz O The frequency is the fifth state at 10.0 Hz O The frequency is the tenth state at 8.0 Hz
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