Three pieces of a string, each with length L, are joined together end to end, to make a combined string of length 3L. The firstpiece of string has mass per unit length μ₁, the second piece has mass per unit length µ2 = 4µ₁, and the third piece has mass perunit 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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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.

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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 31PQ

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