Problem 3

A taut string of length

L=0.80\,\mathrm m

is fixed at both ends and carries transverse waves at

v=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.

problems.proof.stepOf

problems.proof.prevStep problems.proof.nextStep

\lambda_1=2L=1.60\,\mathrm m

problems.proof.analysis

First identify the physical model and convention that match the stated setup. This fixes the signs used in the equations that follow.