06aa - 6: STANDING WAVES ON SPRINGS Vibrating strings are...

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6: Standing Waves; Slinky –1 6: S TANDING W AVES ON S PRINGS Vibrating strings are important sound sources, particularly for musical instruments. Violins, guitars, pianos, and a whole host of instruments make sounds which begin with vibrating strings. The vocal cords are similar to vibrating strings. Furthermore, strings provide an exact visual analogy to air columns, which are used in many other instruments and which allow humans to control the timbre of the sounds that they make in speech. The best way to “get a feel” for standing waves is to make some yourself on a long rope or spring. The waves that do not appear to move – are called standing waves . Their wavelike pattern results from the interference of two or more waves, in the case of strings, from an interference (superposition) of the generated wave and its reflection from the ends. A standing wave has regions of minimum and maximum amplitude called nodes and antinodes . 1. Standing Waves on a Spring with Fixed Ends With the spring at 15 ft , oscillate your arm back and forth, sending regularly spaced pulses down the spring. Vary the frequency of oscillation until you set up a standing wave that looks like this: Each hump is one half of a wavelength, so this spring now has one and a half wavelengths on it. Since the spring is 15 ft long, the wavelength of the standing wave is 10 ft. Wavelength is the length
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This note was uploaded on 01/20/2012 for the course P 109 taught by Professor Staff during the Fall '08 term at Indiana.

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06aa - 6: STANDING WAVES ON SPRINGS Vibrating strings are...

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