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PROBLEM 10.107
Two uniform rods, each of mass
m
and length
l
, are attached to drums
that are connected by a belt as shown. Assuming that no slipping occurs
between the belt and the drums, determine the positions of equilibrium of
the system and state in each case whether the equilibrium is stable,
unstable, or neutral.
SOLUTION
Wm
g
=
cos2
cos
22
ll
VW
W
θ
=−
()
2sin 2
sin
2
dV
l
W
d
=−+
2
2
4cos2
cos
2
dV
l
W
d
−
Equilibrium:
0:
2sin 2
sin
0
2
dV
Wl
d
θθ
=
or
( )
sin
4cos
1
0
−
+=
Solving,
0,75.5 , 180 ,
and
284.5
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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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