Problem: A combination work of art/musical instrument is illustrated. Six pieces of identical piano wire (cut to different lengths) are hung from the same support, and masses are hung from the free end of each wire. Each wire is 1, 2, or 3 units long, and each supports 1, 2, or 4 units of mass. The mass of each wire is negligible compared to the total mass hanging from it. When a strong breeze blows, the wires vibrate and create an eerie sound.(a) Rank each wire-mass system on the basis of its fundamental wavelength.(b) Rank each system on the basis of its wave speed.(c) Rank each system on the basis of its frequency.

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FREE Expert Solution

Part A:

Wavelength:

λ=2L

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Problem Details

A combination work of art/musical instrument is illustrated. Six pieces of identical piano wire (cut to different lengths) are hung from the same support, and masses are hung from the free end of each wire. Each wire is 1, 2, or 3 units long, and each supports 1, 2, or 4 units of mass. The mass of each wire is negligible compared to the total mass hanging from it. When a strong breeze blows, the wires vibrate and create an eerie sound.

(a) Rank each wire-mass system on the basis of its fundamental wavelength.
(b) Rank each system on the basis of its wave speed.
(c) Rank each system on the basis of its frequency.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Standing Waves concept. You can view video lessons to learn Standing Waves. Or if you need more Standing Waves practice, you can also practice Standing Waves practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Kwong's class at PASADENA.