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Unformatted text preview: PHYSICS 218 SOLUTION TO HANDOUT 4 Created: September 19, 2004 6:21pm Last updated: September 19, 2004 7:55pm Elmore & Heald, Question 1.9.3 Three long identical strings of linear mass density are joined together at a common point forming a symmetrical Y. Thus they lie in a plane 120 apart. Each is given the same tension . A distant source of sinusoidal waves sends transverse waves, with motion perpendicular to the plane of the strings, down one of the strings. Find the reflection and transmission coefficients that characterise the junction. Solution: Lets define our coordinate system along the strings as x 1 , x 2 and x 3 as shown in figure (1) with the incident wave propagating along x 1 towards the intersection, and x 1 = x 2 = x 3 = 0 at the intersection of the three strings. Note that x 2 and x 3 are defined as positive away from the Y intersection, whereas x 1 is positive towards the intersection. The preference for this assymetric convention will be apparent latter when we want to write down the boundary conditions of the strings.convention will be apparent latter when we want to write down the boundary conditions of the strings....
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