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PROBLEM 10.85
Collar
A
can slide freely on the semicircular rod shown. Knowing that the
constant of the spring is
k
and that the unstretched length of the spring is
equal to the radius
r
, determine the value of
θ
corresponding to
equilibrium when
20 kg,
m
=
180 mm,
r
=
and
3 N/mm.
k
=
SOLUTION
Stretch of Spring
s
AB
r
=
−
( )
2c
o
s
s
rr
=
−
( )
2cos
1
sr
=
−
Potential Energy:
2
1
sin 2
2
Vk
s
W
r
W
m
g
=−
=
()
2
2
1
1
sin2
2
r
W
r
−
2
1 2sin
2
cos2
dV
kr
Wr
d
θθ
−
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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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