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The fundamental frequency of a vibrating system is 550 Hz. (a) If the system is

ID: 1755538 • Letter: T

Question

The fundamental frequency of a vibrating system is 550 Hz. (a) If the system is a string fixed atboth ends, give the three lowest frequencies. first lowest 1 Hz second lowest 2 Hz third lowest 3 Hz
(b) If the system is a cylindrical pipe with both ends open, givethe three lowest frequencies. first lowest 4 Hz second lowest 5 Hz third lowest 6 Hz
(c) If the system is a cylindrical pipe with only one end open,give the three lowest frequencies. first lowest 7 Hz second lowest 8 Hz third lowest 9 Hz
first lowest 1 Hz second lowest 2 Hz third lowest 3 Hz

Explanation / Answer

A)(a)Fundamental frequency f1=400Hz    For a string fixed at both ends,    The first lowest frequencyf2=2f1=800Hz    second lowest frequencyf3=3f1=1200Hz    third lowest frequency f4=4f1=1600Hz (b)For a system with both ends open,      The first lowest frequencyf2=2f1=800Hz      second lowest frequencyf3=3f1=1200Hz      third lowest frequency f4=4f1=1600Hz (c)For a system with one end open,    The first lowest frequencyf2=3f1=1200Hz      second lowest frequencyf3=5f1=2000Hz      third lowest frequency f4=7f1=2800Hz      second lowest frequencyf3=3f1=1200Hz      third lowest frequency f4=4f1=1600Hz (c)For a system with one end open,    The first lowest frequencyf2=3f1=1200Hz      second lowest frequencyf3=5f1=2000Hz      third lowest frequency f4=7f1=2800Hz      second lowest frequencyf3=5f1=2000Hz      third lowest frequency f4=7f1=2800Hz
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