# handout05 - PHYSICS 218 SOLUTION TO HANDOUT 5 Created:...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PHYSICS 218 SOLUTION TO HANDOUT 5 Created: September 19, 2004 10:02pm Last updated: September 19, 2004 11:34pm Fixed and free boundary conditions. Lets consider a transverse sinusoidal wave travelling on a string consisting of two parts, where the left part has a linear density 1 and the right part a different linear density 2 , but with both parts under the same tension (our good old Newtons Laws still work here!). For convenience, the origin is chosen at the discontinuity x = 0, and a source on the negative x-axis sends waves towards the discontinuity. We have seen that the reflection and transmission coefficients of waves at a discontinuity are given by R = k 1- k 2 k 1 + k 2 , T = 2 k 1 k 1 + k 2 , (1) where k 1 and k 2 are the magnitude of the wave vectors to the left and right of the discontinuity, respectively. 1. Show that R and T can be written in the form R = v 2- v 1 v 2 + v 1 , T = 2 v 2 v 2 + v 1 , (2) where v 1 and v 2 are the magnitude of the wave velocities to the left and right of...
View Full Document

## This note was uploaded on 09/28/2008 for the course PHYS 218 taught by Professor Pollack during the Fall '04 term at Cornell University (Engineering School).

### Page1 / 2

handout05 - PHYSICS 218 SOLUTION TO HANDOUT 5 Created:...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online