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10 February, 11:19

Consider a string of length 1.0 meter, fixed at both ends, with mass 100 grams and tension 100 newtons. part a give the number of nodes and antinodes set up on the string if it is driven at a frequency of 95 hertz. be sure to include the ends of the string in your count. give the number of nodes followed by the number of antinodes, separated by a comma.

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  1. 10 February, 13:07
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    To answer the problem we would be using this formula which isv = sqrt (T / (m/L))

    v = sqrt (100 N / [ (0.100 kg) / (1.0 m) ])

    v = 31.62 m/s

    v = fλ

    31.62 m/s = (95 Hz) (λ)

    λ = 0.333 m

    For every wavelength along a string there will be 2 antinodes.

    1.0 m / 0.333 m = 3

    3 * 2 = 6 antinodes

    6 + 1 = 7 nodes
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