Homework Set
5, Physics 6B
This is a practice set, but read on. We work through it over the next 1 week
ofclass.
There soon will be more .
..
It
is in your own best interest to solve each one
ofthese
problems.
1. What is the frequency
of this traveling wave?
Y
trw ::,fO t11.h
O.
0.1
IIi
p,
"*
J,.
~.l!lt
e.
z
;If:
::;>)( (f)1 )
oI~
e.
S)le
It)
fIt.
/.
JO()H~
2. A sinusoidal wave with an amplitude
of
1
cm and a fundamental frequency
of 100 Hz
travels at 200 mls in the positive xdirection. At t=O s, the point
x=lm is on a crest
of the
wave. A) Determine the values
of A,
V
W
,
f..., k, f,
0),
T, and
<Po
for this wave.
B)
Write the
~quation
of the wave's displacement as it travels. C) Draw a snapshot graph of the wave
at
t=o
s.
3. A very long string with
11=2
glm
is stretched along the xaxis with a tension
of 5 N. At
x=O m it is tied to a 100
Hz simple harmonic oscillator that vibrates perpendicular to the
string with an amplitude
of 2 mm. The oscillator is at maximum positive displacement at
t=0. A) Write the displacement equation for the traveling wave on the string. B) At t=5
ms, what is the string's displacement at a point 2.7 m from the oscillator?
4. What is the phase difference between two points on a 100 Hz sound wave that travels
with a speed
of 343
mis,
if the points are a) 60 cm apart along the direction in which the
wave is traveling? B) How far apart are two points whose phase differs by 90°?
5. What is the phase difference between the crest
of a wave and its adjacent trough?
a. 2x, b. 0, c.
rrl4,
d.
rrl2,
e. x,
f.
3x
6. This is a snapshot graph at
t=O
of a 5
Hz wave traveling to the left. A) What is the
wave speed? b) What is the initial phase
ofthe wave? C) Write the displacement equation
for this wave.
)
~
(Mtv'
x(rn)
\
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View Full Document7. The graph below shows the time dependence
of a wave traveling in the positive
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 Winter '08
 Graham

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