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A stretched string fixed at each end has a mass of 36.0 g and a length...

A stretched string fixed at each end has a mass of 36.0 g and a length of 7.60 m. The tension in the string is 48.0 N.

(a) Determine the positions of the nodes and antinodes for the third harmonic. (Enter your answers from smallest to largest distance from one end of the string.)
nodes:

_____ m
_____m
_____m
_____m


antinodes:

_____m
_____m
_____m


(b) What is the vibration frequency for this harmonic?
________ Hz

A train at a speed of 36.3 m/s sounds it whistle, which has a frequency of 5.10  102 Hz. Determine the frequency heard by a stationary observer as the train approaches the observer. The ambient temperature is 21.9°C.

____Hz

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