This preview shows pages 1–3. Sign up to view the full content.
portillo (gdp347) – oldmidterm4 02 – Turner – (58185)
1
This printout should have 27 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
001
10.0 points
The oscillation oF a massspring system
x
=
x
m
cos(
ω t
+
φ
)
,
where
x
m
is a positive number.
At time
t
= 0, the mass is at the equilibrium
point
x
= 0 and it is moving with positive
velocity
v
0
.
What is the phase angle
φ
?
1.
φ
=
7
4
π
2.
φ
= 2
π
3.
φ
= 0
4.
φ
=
1
4
π
5.
φ
=
5
4
π
6.
φ
=
π
7.
φ
=
3
2
π
8.
φ
=
3
4
π
9.
φ
=
1
2
π
002
10.0 points
A solid cylinder oF mass 1
.
8 kg and radius
20 cm is yoked to a spring as shown in the
fgure below. To be precise, the axle oF the
cylinder is attached to a horizontal spring oF
Force constant 1899 N
/
m. The cylinder rolls
back and Forth on a horizontal base with
out slipping. ±or simplicity, assume that the
spring, the axle and the yoke which connects
them have negligible masses compared to the
cylinder itselF.
1899 N
/
m
1
.
8 kg
What is the angular Frequency oF the cylin
der rolling back and Forth around the equlib
rium position? Answer in units oF s
−
1
.
003
10.0 points
A particle oscillates harmonically
x
=
A
sin(
ωt
+
φ
0
)
,
with amplitude 5 m, angular Frequency
π
s
−
1
,
and initial phase
π
3
radians. Every now and
then, the particle’s kinetic energy and poten
tial energy happen to be equal to each other
(
K
=
U
).
When does this equality happen For the frst
time aFter
t
= 0?
1.
0.4167 s
2.
0.2238 s
3.
0.5267 s
4.
0.9967 s
5.
0.3467 s
6.
0.5884 s
7.
0.7615 s
8.
0.6547 s
9.
0.1294 s
10.
0.8623 s
004
10.0 points
Longitudinal sound waves
cannot
propagate
through
1.
steam
2.
gases
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Documentportillo (gdp347) – oldmidterm4 02 – Turner – (58185)
2
3.
solids
4.
a vacuum
5.
liquids
6.
wet sand
005
10.0 points
At
t
= 0, a transverse wave pulse in a wire is
described by the function
y
= 5
e
−
x
2
/
2
,
where
x
and
t
are given in SI units.
Which function describes this wave if it is
traveling in the negative
x
direction with a
speed of 4
.
5 m
/
s?
1.
y
= 5
e
−
x
2
/
2
+ 4
.
5
t
2.
y
= 5
e
−
(
x
−
4
.
5
t
)
2
/
2
3.
y
= 5
e
−
x
2
/
2
−
4
.
5
t
4.
y
= 5
e
−
(
x
2
−
4
.
5
t
)
/
2
5.
y
= 5
e
−
(
x
+4
.
5
t
)
2
/
2
6.
y
= 5
e
−
(
x
2
+4
.
5
t
)
/
2
7.
y
= 5
e
−
x
2
/
2
006
10.0 points
A harmonic wave
y
=
A
sin[
k x
−
ω t
−
φ
]
,
where
A
= 1 m,
k
has units of m
−
1
,
ω
has
units of s
−
1
, and
φ
has units of radians, is
plotted in the diagram below.
+1
−
1
A
(meters)
t
(seconds)
10
20
30
At the position
x
= 0
Which wave function corresponds best to
the diagram?
1.
y
=
A
sin
b
k x
−
p
2
π
15 s
P
t
−
p
2
π
3
PB
2.
y
=
A
sin
b
k x
−
p
2
π
3 s
P
t
−
p
4
π
3
PB
3.
y
=
A
sin
b
k x
−
p
2
π
9 s
P
t
−
p
1
π
3
PB
4.
y
=
A
sin
b
k x
−
p
2
π
3 s
P
t
−
p
1
π
3
PB
5.
y
=
A
sin
b
k x
−
p
2
π
3 s
P
t
−
p
2
π
3
PB
6.
y
=
A
sin
b
k x
−
p
2
π
15 s
P
t
−
p
4
π
3
PB
7.
y
=
A
sin
b
k x
−
p
2
π
15 s
P
t
−
p
1
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '10
 McCord

Click to edit the document details