A string of mass \( 0.2 \mathrm{~kg} / \mathrm{m} \) in length \( \mathrm{L}=0.6 \mathrm{~m} \) ...

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A string of mass \( 0.2 \mathrm{~kg} / \mathrm{m} \) in length \( \mathrm{L}=0.6 \mathrm{~m} \) is fixed at both ends and stretched such that it has a tension of \( 80 \mathrm{~N} \). The string is vibrating in its third normal mode, has an amplitude of \( 0.5 \mathrm{~cm} \). What is the frequency
\( \mathrm{P} \) of oscillation? What is the maximum transverse velocity amplitude?

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