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"Vibrato" in a violin is produced by sliding the finger back and forth along the vibrating...

"Vibrato" in a violin is produced by sliding the finger back and forth along the vibrating string. The G-string on a particular violin measures 28 cm between the bridge and its far end and is clamped rigidly at both points. Its fundamental frequency is 197 Hz. (a) How far from the end should the violinist place a finger (not the total length, just the amount it is shortened) so that the G-string plays the note F (349 Hz)? ? cm (b) If the violinist executes vibrato by moving the finger 0.50 cm to either side of the position in part (a), what range of frequencies results? lowest frequency ?Hz highest frequency ? Hz

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the fundawental frequency of a string fixed at both ends 2L since fingering does not change the tensionin the violion string

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