The portion of the string ofa certain musical instrument betweenthe bridge and upper end of the fingerboard (that part of the string that is freeto vibrate) is 60.0 cm long, and thislength of the string has mass 2.00 g.The string sounds an A4 note (440 Hz)when played. (a) Where must the playerput a finger (what distance x from thebridge) to play a D5 note (587 Hz)?For both the A4 andD5 notes, the string vibrates in its fundamentalmode. (b) Without retuning, isit possible to play a G4 note (392 Hz)on this string? Why or why not?

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The portion of the string of
a certain musical instrument between
the bridge and upper end of the finger
board (that part of the string that is free
to vibrate) is 60.0 cm long, and this
length of the string has mass 2.00 g.
The string sounds an A4 note (440 Hz)
when played. (a) Where must the player
put a finger (what distance x from the
bridge) to play a D5 note (587 Hz)?
For both the A4 and
D5 notes, the string vibrates in its fundamental
mode. (b) Without retuning, is
it possible to play a G4 note (392 Hz)
on this string? Why or why not?

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