ECE360
PRACTICE EXAM #3
FALL 2007
Instructions
:
1. Closedbook, closednotes, openmind exam.
2. Work each problem on the exam booklet in the space provided.
3. Write neatly and clearly for partial credit. Cross out any material you do not want graded.
4. Leave one empty seat between each of you.
Name
:
Problem 1
:
/20
Problem 2
:
/20
Problem 3
:
/20
Problem 4
:
/20
Problem 5
:
/20
Total
:
/100
1
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Problem 1
(20 Points)
K
m
x
M,J
R
θ
The above figure shows a pulley of mass
M
modeled as a disk with radius
R
and supported by
an axle through its center. The axle itself has bearings which are not shown on the picture. An
ideal (massless) inextensible strap over the disk supports a mass
m
at one of its ends and is re
strained at the other end by a linear spring with constant
K
. The disk does not slip relative to
the strap. The downward displacement
x
(
t
) of the mass
m
is measured from from its assembled
equilibrium point where the system rests under the action of gravity and the restraining spring force.
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 Spring '08
 STAFF
 Polynomials

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