Question

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?

Answer 1