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ME 352  Machine Design I
Name of Student___________________________
Fall Semester 2010
Lab. Div. Number__________________________
FINAL EXAM. OPEN BOOK AND CLOSED NOTES.
Wednesday, December 15th, 2010.
Use the blank paper provided for your solutions. Write on one side of the paper only. Where
necessary, use the given figures to show vectors. Any work that cannot be followed is assumed to
be in error. Staple each problem separately and attach your crib sheet to the end of Problem 1.
Problem 1
(25 Points)
. For the mechanism in the position shown in Figure 1, the constant angular
velocity of the input link 2 is
2
3krad/s
ω=
with a torque
12
T1
.
5
k
N

m
=−
acting at bearing
2
O. The
length of link 2 is
2
O A
0.12 m,
=
23
O G
0.09 m,
=
22
O G
0.045 m,
=
and the free length of the spring
attached between ground pin O
1
and pin A is 0.5 m. A viscous damper is attached between pin O and
link 3. There is a horizontal force
P acting at pin A, gravity is acting vertically downward, and the
effects of friction in the mechanism can be neglected. The known data (where
23
R
is the vector from
bearing O
2
to the mass center
3
G and
3
R is the vector from ground pin O to the mass center
3
G ) is:
23
R
′
3
R
′
23
R
′′
3
R
2
m
3
m
2
G
I
3
G
I
K
C
m/rad
m/rad
m/rad
2
m/rad
2
kg
kg
kg.m
2
kg.m
2
N/m Ns/m
+ 0.052
+ 0.104
+ 0.150
+ 0.120
7
12
0.75
2.25
15
75
Determine: (i) the firstorder kinematic coefficients of the linear spring and the viscous damper.
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 Fall '08
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 Machine Design

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