MATH 251
Midterm Exam I
March 1, 2007
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This exam has
11
questions for a total of 100 points. There are
2
multiple choice questions.
In order to obtain full credit for partial credit problems, all work must be shown.
Credit will not be given for an answer not supported by work.
THE USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINATION.
At the end of the examination, the booklet will be collected.
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View Full DocumentMATH 251 Spring 2007 Exam I
1. (6 points) A mass weighing 100kg stretches a spring 5m. If there is no damping, which of the
following equations describes the motion of the spring?
(a) 100
y
00
+
980
5
y
= 0
,
(b) 100
y
0
+ 5
y
= 0
,
(c) 100
y
00
+ 5
y
= sin 9
t,
(d)
y
00
= cos(
y
)
,
(e) 5
y
00
+ 100
y
= 0
.
2. (6 points) which equation below describes a system undergoing resonance?
(a)
y
00
+ 4
y
= 0
,
(b)
y
00
+ 4
y
0
+ 4
y
= sin 4
t,
(c)
y
00
+ 9
y
= sin 9
t,
(d)
y
00
= cos(
y
)
,
(e)
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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations, Boundary value problem

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