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PROBLEM 10.75
Angle
θ
is equal to 45° after a block of mass
m
is hung from member
AB
as shown. Neglecting the mass of
AB
and knowing that the spring is
unstretched when
20 ,
=
°
determine the value of
m
and state whether
the equilibrium is stable, unstable, or neutral.
SOLUTION
Potential Energy
Have
2
1
2
SP
B
Vk
x
m
g
y
=+
where
()
00
,
100 mm,
20
rad
9
SP
xr
r
π
θθ
=−
=
=
°
=
cos ,
450 mm
==
BA
B
A
B
yL
L
Then
2
2
0
1
cos
2
+
AB
r
m
g
L
and
2
0
sin
−
AB
dV
kr
mgL
d
2
2
2
cos
AB
dV
kr
mgL
d
With
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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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