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## Main Question or Discussion Point

A violin string has a length of 0.350 m and is tuned to concert G, with fG = 392 Hz.

Where must the violinist place her finger to play concert A, with fA = 420 Hz?

If this position is to remain correct to half the width of a finger (that is, to within 0.600 cm), what is the maximum allowable percentage change in the string tension?

Ok so I already figured out the first question, the position to play concert A is 32.6666... cm from the bridge. I obtained this answer from dividing the equations, canceling, and solving.

It is the algebra of the second part that is giving me trouble, and I am not sure how to approach it. I am sure it too has to be done by dividing two equations for the frequencies and ending up with with a ratio of the two tensions. I just can't seem to get it.

I really need the answer by 5:00PM Central time, don't know if anyone will be able to solve it, but I'd appreciate any help.

Where must the violinist place her finger to play concert A, with fA = 420 Hz?

If this position is to remain correct to half the width of a finger (that is, to within 0.600 cm), what is the maximum allowable percentage change in the string tension?

Ok so I already figured out the first question, the position to play concert A is 32.6666... cm from the bridge. I obtained this answer from dividing the equations, canceling, and solving.

It is the algebra of the second part that is giving me trouble, and I am not sure how to approach it. I am sure it too has to be done by dividing two equations for the frequencies and ending up with with a ratio of the two tensions. I just can't seem to get it.

I really need the answer by 5:00PM Central time, don't know if anyone will be able to solve it, but I'd appreciate any help.