Write the equation for a sinusoidal wave of wavelength 4, amplitude 20, and velocity 6. (See Problem 17.) Make computer plots of y as a function of t for x = 0 , 1 , 2,3, and of y as a function of x for t = 0 , 1 6 , 1 3 , 1 2 . If this wave represents the shape of a long rope which is being shaken back and forth at one end, find the velocity ∂ y / ∂ t of particles of the rope as a function of x and t. (Note that this velocity has nothing to do with the wave velocity v , which is the rate at which crest of the wave move forward.)
Write the equation for a sinusoidal wave of wavelength 4, amplitude 20, and velocity 6. (See Problem 17.) Make computer plots of y as a function of t for x = 0 , 1 , 2,3, and of y as a function of x for t = 0 , 1 6 , 1 3 , 1 2 . If this wave represents the shape of a long rope which is being shaken back and forth at one end, find the velocity ∂ y / ∂ t of particles of the rope as a function of x and t. (Note that this velocity has nothing to do with the wave velocity v , which is the rate at which crest of the wave move forward.)
Write the equation for a sinusoidal wave of wavelength 4, amplitude 20, and velocity 6. (See Problem 17.) Make computer plots of y as a function of
t
for
x
=
0
,
1
,
2,3, and of
y
as a function of
x
for
t
=
0
,
1
6
,
1
3
,
1
2
.
If this wave represents the shape of a long rope which is being shaken back and forth at one end, find the velocity
∂
y
/
∂
t
of particles of the rope as a function of
x
and t. (Note that this velocity has nothing to do with the wave velocity v, which is the rate at which crest of the wave move forward.)
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