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A vertical hollow tube is connected to a speaker, which
Chapter 13, Problem 99GP(choose chapter or problem)
A vertical hollow tube is connected to a speaker, which vibrates vertically with simple harmonic motion (Figure 13–32). The speaker operates with constant amplitude, A, but variable frequency, 𝑓. A slender pencil is placed inside the tube. (a) At low frequencies the pencil stays in contact with the speaker at all times; at higher frequencies the pencil begins to rattle. Explain the reason for this behavior. (b) Find an expression for the frequency at which rattling begins.
Questions & Answers
QUESTION:
A vertical hollow tube is connected to a speaker, which vibrates vertically with simple harmonic motion (Figure 13–32). The speaker operates with constant amplitude, A, but variable frequency, 𝑓. A slender pencil is placed inside the tube. (a) At low frequencies the pencil stays in contact with the speaker at all times; at higher frequencies the pencil begins to rattle. Explain the reason for this behavior. (b) Find an expression for the frequency at which rattling begins.
ANSWER:
Step 1 of 3
We know that the acceleration experienced by the speaker as a function of its frequency and the amplitude of its vibration.
ie, total time elapsed of
