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Physics, 13.07.2019 23:10 Elephants12

The lowest string on a double bass is the e string, with a fundamental frequency of 41.2 hz. the highest string on a violin is also called the e string, and it has a fundamental frequency of 659.3 hz, which is exactly 16 times higher than the fundamental frequency of the bass e string. for the rest of the problem, we are only talking about the instruments' e strings a) the tension in an average bass e string is 289 n and the length of the region that vibrates is 1.02 m (the head to bridge distance). the full string, when not strung, has length 1.45 m. what is the mass of the bass' string? b) what tension would one have to string the bass to in order to achieve the same fundamental frequency as the violin? for comparison, the breaking tension of a steel cable with the same diameter is roughly 4.2 kn increasing the frequency of a note by one octave means doubling the frequency. for example, if increase the pitch of the bass's e string by one octave, the frequency will be 2 x 41.2 hz -82.4 hz. how many octaves higher is the violin e string than the bass e string? we have seen in class that strings may be driven at higher harmonics above their fundamental frequency. advanced string players have a technique to play higher harmonics known as flageolet (pronounced frenchily). they lightly touch the string at a given point to create a node, thus supressing the fundamental harmonic which has no nodes. what is the minimum distance from the start of the string (the head) that the bass player may touch in order to create the harmonic matching the violin?

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