markowitz (am45362) – HW12 – distler – (56295)
1
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have
19
questions.
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before answering.
001
10.0points
At
t
= 0
,
a transverse wave pulse in a wire is
described by the function
y
(
x, t
= 0) =
6
x
2
+ 3
,
where
x
and
y
are in meters.
The pulse is
traveling in the positive
x
direction with a
speed of 4
.
5 m
/
s
.
Which formula correctly describes the pulse
at time
t
?
1.
y
=
4
.
5
t
+ 6
x
2
+ 3
2.
y
= 4
.
5
t
+
6
x
2
+ 3
3.
y
=
6
(
x
−
4
.
5
t
)
2
+ 3
4.
y
=
6
−
4
.
5
t
x
2
+ 3
5.
y
=
6
(
x
+ 4
.
5
t
)
2
+ 3
6.
y
=
−
4
.
5
t
+
6
x
2
+ 3
002
10.0points
When a particular wire is vibrating with a fre
quency of 3
.
6 Hz, a transverse wave of wave
length 49
.
8 cm is produced.
Determine the speed of wave pulses along
the wire.
Answer in units of m
/
s
003
10.0points
An object of mass 0.1 kg is attached to a
spring of negligible mass and is executing sim
ple harmonic oscillation with an angular fre
quency of 3 rad/s.
If
v
x
(0) = +0
.
5 m/s and
x
(0) =
−
0
.
1 m,
what is the phase
φ
? The general solution for
such an oscillator is
x
(
t
) =
A
cos(
ω t
+
φ
)
.
1.
0
.
9911
2.
−
1
.
039
3.
−
3
.
142
4.
3
.
142
5.
4
.
173
6.
−
2
.
112
7.
0
.
519
8.
+2
.
112
9.
Zero
10.
1
.
03
004
10.0points
One end of a string 2
.
56 m long is moved up
and down with simple harmonic motion at a
frequency of 69 Hz
.
The waves reach the other
end of the string in 0
.
5 s
.
Find the wavelength of the waves on the
string.
Answer in units of cm
005(part1of3)10.0points
A string of length 3 m consists of two sec
tions with equal length.
The left half has a
mass per unit length of 0
.
0003 kg
/
m, while
the right half has a mass per unit length of
0
.
0009 kg
/
m.
The tension in the string is
463 N. Notice from the data given that this
string has the same total mass as a uniform
string of length 3 m and mass per unit length
0
.
0006 kg
/
m.
Find the speed at which transverse wave
pulses travel in the left section.
Answer in units of m
/
s
006(part2of3)10.0points
Find the speed at which transverse wave
pulses travel in the right section.
Answer in units of m
/
s
007(part3of3)10.0points
Find the time required for a pulse to travel
from one end of the string to the other. Ne
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markowitz (am45362) – HW12 – distler – (56295)
2
glect any reflection that may happen at the
midpoint of the string.
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 Spring '08
 Kaplunovsky
 Physics, Simple Harmonic Motion

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