Problem 3
A taut string of length is fixed at both ends and carries transverse waves at . The endpoints are nodes; neglect bending stiffness and consider normal modes. (a) Find the first requested quantity. (b) Find the second quantity. (c) Determine the final result and check its units. (a) Find the funda (a) Find the fundamental wavelength and frequency. (b) Find the frequency of the mode with three half-wavelengths. (c) Count its antinodes.
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Substituting the result into the relevant definition or law gives the next quantity. This connects the parts of the problem instead of treating their answers separately.