problem16_25

University Physics with Modern Physics with Mastering Physics (11th Edition)

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16.25: a) Refer to Fig. (16.18). i) The fundamental has a displacement node at m 600 . 0 2 = L , the first overtone mode has displacement nodes at m 300 . 0 4 = L m 900 . 0 and 4 3 = L and the second overtone mode has displacement nodes at m 000 . 1 and m 600 . 0 m, 200 . 0 6 5 2 6 = = = L L L . ii) Fundamental: 0, : First m. 200 . 1 , 0 = L m. 200 . 1 m, 600 . 0 2 = = L L m. 200 . 1 m, 800 . 0 m, 400 . 0 0, : Second 3 2 3 = = = L L L b) Refer to Fig. (16.19); distances are measured from the right end of the pipe in
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Unformatted text preview: the figure. Pressure nodes at: Fundamental: m 200 . 1 = L . First overtone: m. 200 . 1 m, 400 . 3 = = L L Second overtone: m, 240 . 5 = L m. 200 . 1 , m 720 . 5 3 = = L L Displacement nodes at Fundamental: . 0 First overtone: m. 800 . 3 2 , = L Second overtone: m, 480 . 5 2 , = L m 960 . 5 4 = L...
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