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ME 560 Kinematics
Fall Semester 2010
Solution to Homework Set 10
Wednesday, December 1st
Problem 1
. Given the pole triangle and the line
g in position 1, that is, the line
1
g , the problem
is to find the location of the line
g in positions 2 and 3, respectively.
2
1
H
H
12
P
H
2
1
g
g
c
P
23
h
1
h
2
2
g
P
1
13
H
3
h
3
g
3
3
Figure 1. Location of the line g in positions 1, 2 and 3.
The graphical procedure to find the location of the line
2
g is:
(i) Draw a circle with the center at the pole
12
P and the radius equal to the distance from the pole
12
P to the line
1
g.
(ii) Draw the perpendicular from the pole
12
P to the line
1
g , and measure the rotation angle
12
2
φ
from this perpendicular in the same direction as the interior angle
12
φ
.
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(iii) Draw a line tangent to the circle at the circumference of the circle. This is the line
2
g,
tha
t
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 Fall '10
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