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PROBLEM 10.72
Two uniform rods,
AB
and
CD
, are attached to gears of equal radii as
shown. Knowing that
3.5 kg
AB
m
=
and
1.75 kg,
CD
m
=
determine the
positions of equilibrium of the system and state in each case whether the
equilibrium is stable, unstable, or neutral.
SOLUTION
Potential Energy
()
22
3.5 kg
9.81m/s
sin
1.75 kg
9.81m/s
cos
ll
V
θ
=×
−+
×
( ) ( )
8.5838 N
2sin
cos
l
=−
+
(
)
8.5838 N
2cos
sin
dV
l
d
−
(
)
2
2
8.5838 N
2sin
cos
dV
l
d
Equilibrium:
0:
2cos
sin
0
dV
d
θθ
=
−−
=
or
tan
2
= −
Thus
63.4
and
116.6
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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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