Question: Physics 221 Group Problem 5 April 7, 2016 Wind Sculpture Your friend, an artist, has been thinking about an interesting way to display a new


Physics 221 Group Problem 5 April 7, 2016 Wind Sculpture Your friend, an artist, has been thinking about an interesting way to display a new wind sculpture she has just created. In order to create an aural as well as visual effect, she would like to use the wires to hang the sculpture as sort of a string instrument. She decides to set it up as shown in the diagram below. Her basic design involves attaching two 75cm pieces of wire from two eye-hooks on the ceiling that are approximately 50cm apart and then hanging the 25 kg sculpture from a 50cm horizontal bar with insignicant mass (which also does not vibrate much in the wind) from some point along the bar. The aural effect that she would like to achieve is that when the wind blows across the two strings, they play a perfect fifth, i.e. the ratio of the fundamental frequencies of the two sOunds is 3:2. Your friend tells you that she has been successful in hanging the sculpture but not in choosing the point along the bar to hang the sculpture giving the desired scund. Desperate for Success, she knows that you are taking physics 221 and asks you for help. Before you tackle the analysis, yOu use your knowledge of waves to gather some more information. You take a sample of the wire back to your lab and measure its linear mass density to be I\" = 1.0%. You also determine that it is some sort of steel alloy from its color and the fact that it is strongly attracted to a bar magnet. Where along the bar should the 25 kg sculpture be hung to achieve the proper ratio of frequencies? What notes (frequencies) will the two strings play? 25kg Qr'nlnhirp
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