Wave interference equations help

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SUMMARY

This discussion centers on wave interference equations related to standing waves on a stretched string. The user seeks assistance with problems involving amplitude and types of interference, specifically for a string fixed at both ends and one with a free end. Key concepts include the amplitude of overlapping pulses and identifying wavelengths that produce standing waves. The user also references www.physicsclassroom.com as a helpful resource for understanding these concepts.

PREREQUISITES
  • Understanding of wave properties, including amplitude and wavelength.
  • Knowledge of standing wave formation on strings fixed at both ends.
  • Familiarity with types of interference: constructive and destructive.
  • Basic grasp of wave equations and their applications in physics.
NEXT STEPS
  • Study the principles of wave interference, focusing on constructive and destructive interference.
  • Learn about standing wave patterns on strings, particularly for strings fixed at both ends and free ends.
  • Explore the equations governing wave behavior, including the wave equation and its applications.
  • Review resources on wave mechanics, such as those available at www.physicsclassroom.com.
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to reinforce concepts of wave interference and standing waves.

JLPhysics
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Homework Statement



Does anyone know the equations for these? Or a website that could help? I lost my notes about them and I can't find anything on the internet. I have a worksheet of 15 problems and I only have these three left! :biggrin:

A string is attatched to a post at one end. Several pulses of amplitude .15 m sent down the are refelcted back at the post and travel back down the string without loss of amplitude. What is the amplitude at a point on a string where the maximum displacement points of two pulses cross? What type of interferance is this? How would your answer change if the same pulses were sent down a string whose end is free? What type of interfrence is this?

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A streched string fixed at both ends is 2.0 m long. What are three wavelengths that will produce standing waves on this string. Name at least one wavelength that would not produce a standing wave pattern.

Homework Equations



That's what I need to know! :cry:


The Attempt at a Solution



I've made a few attempts and it has become clear to me (almost one and a half hours later) that I need help before I continue.

:EDIT: I figured one out on my own!

Any help is greatly welcomed. :smile:
 
Last edited:
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