A one-string Aeolian harp is constructed by attaching the lower end of a 1.66-m-long rigid and uniform pole with a mass of 8.00 kg to a tree at a pivot and then using a light rope to hang a 39.0-cm-long hollow steel tube with a mass of 4.00 kg from its upper end. A horizontal wire between the pole and the tree is attached to the pole at a height h above the pivot and holds the pole at a 45.0∘C angle with the vertical. The wire is uniform and has linear mass density μ=1.40 g/m. When the wind blows, the wire resonates at its fundamental frequency. The height h is chosen such that the sound emitted by the

Physics for Scientists and Engineers: Foundations and Connections
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Chapter14: Static Equilibrium, Elasticity, And Fracture
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A one-string Aeolian harp is constructed by attaching the lower end of a 1.66-m-long rigid and uniform pole with a mass of 8.00 kg to a tree at a pivot and then using a light rope to hang a 39.0-cm-long hollow steel tube with a mass of 4.00 kg from its upper end. A horizontal wire between the pole and the tree is attached to the pole at a height h above the pivot and holds the pole at a 45.0∘C angle with the vertical. The wire is uniform and has linear mass density μ=1.40 g/m. When the wind blows, the wire resonates at its fundamental frequency. The height h is chosen such that the sound emitted by the wire stimulates the fundamental standing wave in the tube, which harmonizes with the resonating wire. The speed of sound in air is 344 m/s.

What is the frequency of the note produced by this instrument?

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