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 [.6m] and has a mass of 2.23 g [.00223kg]. The string sounds an A4 note (440 Hz) when played.
Where must the player put a finger (at what distance from the bridge) to play a D5 note (587 Hz)? For both notes, the string vibrates in its fundamental mode.
x= ?? cm
Without retuning, is it possible to play a G4 note (392 Hz) on this string?