Three pieces of a string, each with length ?, are joined together end to end, to make a combined string of length 3?. The first piece of string has mass per unit length ?1, the second piece has mass per unit length ?2 = 4?1, and the third piece has mass per unit length ?3 = ?1/4. a. If the combined string is under tension ?, how much time does it take a transverse wave to travel the entire length 3?? Give your answer in terms of ?, ?, and ?1. 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
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter18: Superposition And Standing Waves
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Three pieces of a string, each with length ?, are joined together end to end, to make a combined string of length 3?. The first piece of string has mass per unit length ?1, the second piece has mass per unit length ?2 = 4?1, and the third piece has mass per unit length ?3 = ?1/4.

a. If the combined string is under tension ?, how much time does it take a transverse wave to travel the entire length 3?? Give your answer in terms of ?, ?, and ?1.

b. Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.

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