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PROBLEM 10.95
The horizontal bar
BEH
is connected to three vertical bars. The collar at
E
can slide freely on bar
DF
. Determine the range of values of
P
for
which the equilibrium of the system is stable in the position shown when
300 mm,
a
=
400 mm,
b
=
and
90 N.
Q
=
SOLUTION
First note
sin
sin
Aa
b
θ
φ
=
=
For small values of
and
:
ab
=
or
a
b
=
( ) ( )
cos
2
cos
VP
a
b
Q
a
b
=+
−
+
()
cos
2 cos
a
abP
Q
b
−
sin
2 sin
dV
a
a
P
Q
db
b
−
+
22
cos
2 cos
dV
a
a
P
Q
b
−
+
When
0:
=
2
a
P Q
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 Spring '08
 Jenkins
 Statics

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