Three pieces of a string, each with length L, are joined together end to end, to make a combined string of length 3L. The first piece of string has mass per unit length μ₁, the second piece has mass per unit length μ₂ = 4μ₁, and the third piece has mass per unit length μ3=₁/4. a. If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L? Give your answer in terms of L, F, and μ₁. b. Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.

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Chapter1: Units, Trigonometry. And Vectors
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Three pieces of a string, each with length L, are joined together end to end, to make a combined string of length 3L. The first
piece of string has mass per unit length μ₁, the second piece has mass per unit length µ2 = 4µ₁, and the third piece has mass per
unit length μ3 = μ₁/4.
a. If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L?
Give your answer in terms of L, F, and μ₁.
b. Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.
Transcribed Image Text:Three pieces of a string, each with length L, are joined together end to end, to make a combined string of length 3L. The first piece of string has mass per unit length μ₁, the second piece has mass per unit length µ2 = 4µ₁, and the third piece has mass per unit length μ3 = μ₁/4. a. If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L? Give your answer in terms of L, F, and μ₁. b. Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.
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