The portion of a cello string between the bridge and upper end of the finger board (that part of the string that is free to vibrate) is of length 60.0 cmcm, and this length of the string has mass 1.96 gg. The string sounds an A4A4 note (440 HzHz) when played.   Where must the cellist put a finger (what distance xx from bridge) to play a D5D5 note (587 HzHz)?  For both the A4A4 and D5D5 notes, the string vibrates in its fundamental mode. Express your answer in meters.

Principles of Physics: A Calculus-Based Text
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Chapter13: Mechanical Waves
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Problem 15P: A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are...
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The portion of a cello string between the bridge and upper end of the finger board (that part of the string that is free to vibrate) is of length 60.0 cmcm, and this length of the string has mass 1.96 gg. The string sounds an A4A4 note (440 HzHz) when played.

 

Where must the cellist put a finger (what distance xx from bridge) to play a D5D5 note (587 HzHz)?  For both the A4A4 and D5D5 notes, the string vibrates in its fundamental mode.
Express your answer in meters.
 
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