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Section Number:
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This part of the exam consists of three questions, each consisting of several parts of varying
difficulty.
If you cannot do one part, move on to the next.
Show your line of reasoning; a final
answer in itself is not sufficient.
To get full credit, you must show CLEARLY how you obtained
your answers.
Please CIRCLE YOUR ANSWERS, and always
STATE THE UNITS
if appropriate.
If you
need more space, use the back of the sheet.
If you are confused about a question, PLEASE ASK
for an explanation.
THIS IS A
CLOSED BOOK EXAM
.
DO NOT OPEN THE EXAM BEFORE 7:15 PM
COMPLETED EXAMS WILL NOT BE ACCEPTED AFTER 9:00 PM
Equations
Momentum:
Kinematic Equations:
Linear Motion
Rotational Motion
v
=
v
0
+
a
∆
t
∆
x
=
v
avg
∆
t
=
1
2
(
v
0
+
v
)
∆
t
∆
x
=
v
0
∆
t
+
1
2
a
∆
t
2
v
2
=
v
0
2
+
2
a
∆
x
ϖ
f
=
ϖ
o
+
α∆
t
∆θ
=
1
/
2
(
ϖ
o
+
ϖ
f
)
∆
t
∆θ
=
ϖ
o
∆
t +
1
/
2
α∆
t
2
ϖ
f
2
=
ϖ
o
2
+ 2
α∆θ
Angular acceleration:
r
α
=
∆
r
ϖ
∆
t
Torque:
τ
=
rF
sin
θ
r
net ext
=
I
r
f
i
p
p
r
r
=
+
Impulse
r
p
=
m
r
v
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Rolling Condition:
v
cm
=
R
ϖ
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 Spring '07
 GregoryFrancis

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