- ...waves
- We already explored one other type of solution in
Class Notes II, standing waves.
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- ...right
- To see that f(x-a) is shifted to the
right, note that the value f(0), which occurred at x=0, now occurs
at x=a.
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- ...left
- To see
that f(x+a) is shifted to the left, note that the value f(0),
which occurred at x=0, now occurs at x=-a.
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- ...equation
- Recall that any solution to the pulse
equation also solves the wave equation.
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- ...parameters.''
- From ``Class
Notes I''.
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- ...32#32
- For concreteness, it may help to think of the
example of the string. For the string (as with any mechanical
system), you generally need to know both the location 33#33 and
velocity 34#34 of each particle (chunk) at time t=0 in order to
predict where all of the particles will be at any time t in the
future.
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