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134. Problem 17.49E (HRW) A string fixed at both ends is 8.40 m long and has a mass of 0.120 kg. It is subjected to a tension of 96.0 N and set oscillating. We have to find the following: (a) the speed of the waves on the string; (b) the longest possible wavelength for a standing wave; and (c) the frequency of that wave. |
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Solution: Click For PDF Version (a) We first find the mass per unit length,
Therefore,
String is subjected to a tension, T, of 96.0 N. Therefore, the speed of wave motion in the string v is
(b) The longest possible wavelength of standing waves on the string corresponds to when its ends are nodes. That is
(c) Frequency, f, of this wave will be
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of the string.
