Exploring Wave Motion with Normal Nodes: A Homework Assignment, Assignments of Physics

This homework assignment asks students to modify the lab4 final code to investigate the motion of waves in one dimension with new boundary conditions. The new boundary conditions involve setting the initial displacement of mass i as sin(nπi/n + 1), where n = 1, 2, 3, ... Students are asked to observe the motion and determine if it corresponds to a travelling wave, which are called normal nodes of the system with these boundary conditions.

Typology: Assignments

Pre 2010

Uploaded on 08/09/2009

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Homework 4
Thursday 8 February - Due: Thursday 15 February
1. Use your lab4 final code to investigate the motion of waves in 1d with differing initial
conditions. Specifically, replace the pulse boundary conditions with new ones in which
the initial displacement of mass itakes the form (all velocities can be taken zero
initially)
xi= sin ( nπi
N+ 1)
where n= 1,2,3,...What do you notice ? Does the motion correspond to a travelling
wave ? These are called the normal nodes of the system with these boundary conditions.

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Homework 4

Thursday 8 February - Due: Thursday 15 February

  1. Use your lab4 final code to investigate the motion of waves in 1d with differing initial conditions. Specifically, replace the pulse boundary conditions with new ones in which the initial displacement of mass i takes the form (all velocities can be taken zero initially) xi = sin (

nπi N + 1

where n = 1, 2 , 3 ,... What do you notice? Does the motion correspond to a travelling wave? These are called the normal nodes of the system with these boundary conditions.