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PROBLEM 10.71
Two uniform rods, each of mass
m
, are attached to gears of equal radii as
shown.
Determine the positions of equilibrium of the system and state in
each case whether the equilibrium is stable, unstable, or neutral.
SOLUTION
Potential Energy
sin
cos
22
ll
VW
W
Wm
g
θθ
=−
+
=
()
cos
sin
2
l
W
θ
sin
cos
2
dV
Wl
d
=−−
2
2
sin
cos
2
dV
W
l
d
For Equilibrium:
0: sin
cos
dV
d
==
−
or
tan
1
= −
Thus
45.0
and
135.0
=
−°
=
°
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.
 Spring '08
 Jenkins
 Statics

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