Physics 21
Fall, 2004
Mechanical Waves
Homework assignment HW19 (due Thursday, October 28) is to work the problems given below. The problems
cover the material on mechanical waves presented in the attached notes.
Problem 1.
A wave on a string travels at 5 m/s to
ward the right (labeled the positive
x
direction). The
transverse displacement of the string at a point arbi
trarily labeled
x
= 0 is observed to be
y
0
(
t
)=0
.
03
e
−
0
.
6
t
cos(50
t
)
,
where
t
is in seconds and
y
is in meters. (a) What is
the mathematical expression for the traveling wave on
the string as a function of
x
and
t
? (b) Answer part (a)
for a wave moving toward the left rather than toward
the right.
Problem 2.
What is the frequency of yellow light
with a wavelength of 5
.
9
×
10
−
7
m in empty space?
Problem 3.
The mathematical expression for a trav
eling wave on a string is given by
y
(
x, t
)=0
.
03 sin(40
πt
+8
πx
)
where
x
and
y
are in meters,
t
is in seconds, and
x
≥
0.
(a) In what direction does the wave propagate? (b)
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 Fall '07
 Hickman
 Physics, Work, 7 m, 3.0 m, 5 m/s, 1.8 m, 3.5 m

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