EM 306 – Statics
TEST 1
Fall 2008  Kontsos
Name
: ___________________________________
EID:
___________________________________
Unique Number
: ___________________________
Instructions:
This is a closed book, closed notes test. You are allowed to use calculators. The
duration of the test is
1 hour
.
Problem 1
(50 points):
Two forces are exerted on the crankshaft by the connecting rods as shown in Figure 1. The
direction cosines of
F
A
are
cos
θ
x
=  0.182
,
cos
θ
y
= 0.818
, and
cos
θ
z
= 0.545
, and its magnitude is
4 kN
. The direction cosines of
F
B
are
cos
θ
x
= 0.182
,
cos
θ
y
= 0.818
, and
cos
θ
z
= 0.545
, and its
magnitude is
2 kN
.
(i)
[10 points]
Draw a diagram where you clearly show the points of application of the two forces and
the two forces.
(ii)
[30 points]
Given the two forces in the figure, compute a single force
R
and a moment
M
O
acting at
the origin
O
. Draw
R
and
M
O
on the diagram you presented in (i).
(iii)
[10 points]
If the system of forces that you computed in (ii) should be represented by a single force
acting at some point in space, show how you would compute the coordinates of this
point by deriving a system of equations (you are not required to solve it).
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 Spring '07
 Rodin
 Statics, Trigraph, Single Force, cable BD, Kontsos, origin O. Draw

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