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PROBLEM 10.88
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
corresponding to equilibrium when
50 lb, 9 in.,Wr
and k 15 lb/in.
PROBLEM 10.89
Two bars AB and BC of negligible weight are attached to a
single spring of constant k that is unstretched when the bars
are horizontal. Determine the range of values of the
magnitude P of two equal and opposite forces
P
and
P
for
which the equilibrium of the system is stable in the position
shown.
PROBLEM 10.89 (Continued)
PROBLEM 10.90
A vertical bar AD is attached to two springs of constant k and is in
equilibrium in the position shown. Determine the range of values of the
magnitude P of two equal and opposite vertical forces
P
and
P
for which
the equilibrium position is stable if (a)
,AB CD
(b)
2.AB CD
PROBLEM 10.90 (Continued)
1
dV Pl ka
PROBLEM 10.91
Rod AB is attached to a hinge at A and to two springs, each of
constant k. If
25 in., 12 in.,hd
and
80 lb,W
determine the
range of values of k for which the equilibrium of the rod is stable
in the position shown. Each spring can act in either tension or
compression.
PROBLEM 10.91 (Continued)
PROBLEM 10.92
Rod AB is attached to a hinge at A and to two springs, each of
constant k. If 45 in., 6 lb/in.,
hk and 60 lb,W determine the
smallest distance d for which the equilibrium of the rod is stable in
the position shown. Each spring can act in either tension or
compression.
PROBLEM 10.93
Two bars are attached to a single spring of constant k
that is unstretched when the bars are vertical.
Determine the range of values of P for which the
equilibrium of the system is stable in the position
shown.
PROBLEM 10.94
Two bars are attached to a single spring of constant k
that is unstretched when the bars are vertical.
Determine the range of values of P for which the
equilibrium of the system is stable in the position
shown.
