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.
problems.proof.stepOf
problems.proof.analysis
This equation expresses the physical law governing the system. It incorporates the stated constraint rather than treating the relevant quantities as independent.
problems.proof.pitfall. Check the sign convention and physical case carefully; do not use a formula for a different motion or geometry.