PROBLEM 10.89
Rod
AB
is attached to a hinge at
A
and to two springs, each of constant
k
.
If
50 in.,
h
=
24 in.,
d
=
and
160 lb,
W
=
determine the range of
values of
k
for which the equilibrium of the rod is stable in the position
shown. Each spring can act in either tension or compression.
SOLUTION
Have
sin
cos
CB
xd
yh
θ
==
Potential Energy:
2
1
2
2
Vk
x
W
y
=+
22
sin
cos
kd
Wh
Then
2
2
sin cos
sin
dV
kd
Wh
d
θθ
=−
2
sin 2
sin
kd
Wh
and
2
2
2
2
cos2
cos
dV
kd
Wh
d
(1)
For equilibrium position
0
=
to be stable, we must have
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Jenkins
 Statics, Derivative, Energy, Force, 160 lb, 10.89 Rod

Click to edit the document details