Question: When a bell is rung, standing waves are set up around the bells circumference. What boundary conditions must be satisfied by the resonant wavelengths? How

When a bell is rung, standing waves are set up around the bell’s circumference. What boundary conditions must be satisfied by the resonant wavelengths? How does a crack in the bell, such as in the Liberty Bell, affect the satisfying of the boundary conditions and the sound emanating from the bell?

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