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In: Physics

The portion of string between the bridge and upper end of the fingerboard (the part of...

The portion of string between the bridge and upper end of the fingerboard (the part of the string that is free to vibrate) of a certain musical instrument is 60.0 cm long and has a mass of 2.85 g . The string sounds an A4 note (440 Hz ) when played.

Where must the player put a finger (at what distance x from the bridge) to play a D5 note (587 Hz )? (See the figure (Figure 1) ) For both notes, the string vibrates in its fundamental mode.

Without retuning, is it possible to play a G4 note (392 Hz ) on this string?

Explain your answer in part B: why or why not?

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