Wave and phasors
A taut string was at rest along the X axis, but now a transverse
harmonic wave of period T, wavelength λ and phase
velocity v propagates along it, according to the following
equations:
y
= A cos(k x - ω t)
z = 0
where
k = 2π/λ and ω = 2π/T. The
simulation will display at some points the phasor of the corresponding
harmonic motion:
y
+ i z = A ei(k x - ω t)
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The point of view of the three-dimensional projection can be changed
with the cursors or the mouse.
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The whole image can be moved with the mouse while pressing Ctrl.
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To change the zoom in the projection, press Shift when moving
up or down the mouse pointer.
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Put the mouse pointer over a control to get information about it.
Activities
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Which is the frequency of the phasors?
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How is their motion (as seen from the positive direction of the X
axis): clockwise or anticlockwise? Why?
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Which is the phase difference between phasors located at x and x+Δx?
This is an English translation of the Basque original for a course
on mechanics, oscillations and waves.
It requires Java
1.5 or newer and was created by Juan
M. Aguirregabiria with Easy
Java Simulations (Ejs) by Francisco
Esquembre. I thank Wolfgang Christian and Francisco Esquembre for
their help.