Physic Labs

Problem 3

A taut string of length L=0.80 mL=0.80\,\mathrm m is fixed at both ends and carries transverse waves at v=120 m/sv=120\,\mathrm{m/s}. 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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n=3⇒3 antinodesn=3\Rightarrow 3\text{ antinodes}
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Finally substitute the given values and check units and limiting behavior. The result agrees with the signs and scale implied by the model and previous parts.