4.2 - Eigenfrequencies on a String (Fixed Ends)
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Practice Questions
Test your understanding with targeted questions
What is the formula for allowed wavelengths on a fixed string?
💡 Hint: Think about how the length of the string relates to the harmonics.
How does frequency change when the length of the string decreases?
💡 Hint: Consider the relationship between frequency and wavelength.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between the wavelength and harmonic number for a fixed string?
💡 Hint: Consider how multiple wavelengths fit into the length of the string.
True or False: Increasing the length of the string will increase the frequency of the eigenfrequencies.
💡 Hint: Review the relationship between length and frequency.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Calculate the eigenfrequencies for a fixed string of length 3.0 m made of a material generating a wave speed of 150 m/s up to the 4th harmonic.
💡 Hint: Remember to substitute correctly to find your frequencies.
A guitar string is tuned to a fundamental frequency of 440 Hz. If the tension is increased by 25%, what will be the new fundamental frequency?
💡 Hint: Consider how tension affects frequency changes.
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