Guitar players know that prior to a concert a guitar must be played and the strings subsequently tightened, because during the first few minutes of playing the strings warm up and loosen slowly. i) Does the loosening affect the length / in the standing wave equation? Why or why not? ii) Does the loosening affect the resonant frequencies of the strings? Why or why not? iii) How is the human voice analogous to a stringed instrument? Consider the roles of the vocal cords and resonant cavities in producing speech.

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