PHYS 369 Lecture Notes - Lecture 9: Signal Generator, Propagation Of Uncertainty, Black Metal
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In the lectures, you will have seen that the possible wavelengths are. 2l n (2) for n = 1, 2, 3, . In this way, y(0, t) = y(l, t) = 0 always, which is consistent with the two ends being xed. Furthermore, since the propagation speed v = f , the frequencies are also limited to the set fn = n v. In the case of a string under tension, if the tension force is t and the mass per unit length of the string is , the propagation speed is v = s t (4) standing waves. This is the basis for all stringed instruments. A violinist, for ex- ample, excites a standing wave in a string by running the bow over it, which actually grips and releases the string alternately in what is called a stick-slip cycle.