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15
Engineering Physics 1 (Phys. 213)
Practice Exam 4 (solution), Apr. 4
th
, 2008 (O’Shea)
Name
__________________________________
Instructions: Please Read!
This is a closed book, closed notes exam. This exam contains multiplechoice questions
and problems.
For each multiplechoice question, circle the letter of the best response.
For problems, you need to show your work in a professional manner and write the final
numerical answer with the proper unit in the space shown. Numerical answers without
supporting calculations will receive zero credit. Partial credit is available only if your
work is clear.
1.
Academic honesty statement.
This exam will NOT be marked unless you sign the academic honesty statement below.
Your signature indicates that you have
read
,
understood
, and
complied
with the
meaning of this statement.
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given nor received unauthorized aid on
this assignment.
Sign your name:__________________________________________________________
2.
(1 point) Circle
your Studio instructor/hour:
Lynch /TU 9:30
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O’Shea/WF 7:30
Lynch /WF 9:30
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3.
The speed
v
versus time
t
for a 0.500 kg object of
radius 6.00 cm that rolls smoothly down a 30° ramp is
shown.
a) What is the linear acceleration?
2
m/s
5
.
3
1
/
5
.
3
/
=
=
Δ
Δ
=
t
v
a
b) What distance the does the object roll during the
time interval 0 – 1 seconds?
m
1.75
2
/
2
2
2
2
=
=
⇒
=
−
a
v
d
ad
v
v
f
i
f
c) What is the rotational inertia of the object?
Let
θ
= 30º,
M
= 0.50 kg and
R
= 0.060 m.
The final velocity
v
f
=
v
com
= 3.5 m/s.
()
2
kg.m
4
2
2
2
2
2
2
2
10
2
.
7
sin
2
0
sin
2
0
sin
0
0
2
1
2
1
0
−
×
=
−
=
=
−
⎟
⎠
⎞
⎜
⎝
⎛
+
=
−
+
⎟
⎠
⎞
⎜
⎝
⎛
−
+
=
Δ
+
Δ
com
com
com
com
com
com
v
R
v
gd
m
I
mgd
R
v
I
mv
mgd
I
mv
U
K
ω
4.
A solid ball radius
r
= 1 cm is rolling at an initial speed of
v
i
as shown
If it just makes it around the loop, radius
R
= 1.4 m, what is the value of
v
i
?
The ball rolls without slipping.
r
R
g
v
F
r
R
mv
mg
F
v
v
mv
R
v
mR
mv
I
mv
K
f
N
f
N
f
com
com
com
com
com
−
=
⇒
=
−
=
+
=
=
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+
=
+
=
2
2
2
2
2
2
2
2
2
2
0
,
/
10
7
5
2
2
1
2
1
2
1
2
1
set
:
y
along
forces
Summing
ball
to
law
2nd
s
Newton'
apply
loop
of
top
at
min
find
To
ball
rolling
a
For
Conservation of energy:
m/s
27
.
7
7
20
0
2
10
7
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This note was uploaded on 04/07/2008 for the course PHYS 213 taught by Professor Oshea during the Spring '08 term at Kansas State University.
 Spring '08
 oshea
 Physics

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