PROBLEM 10.80
A slender rod AB, of weight W, is attached to two blocks A and B that
can move freely in the guides shown. Knowing that the spring is
unstretched when AB is horizontal, determine three values of
corresponding to equilibrium when 300 lb,
W16 in.,l and
75 lb/in.k State in each case whether the equilibrium is stable,
unstable, or neutral.
PROBLEM 10.80 (Continued)
PROBLEM 10.81
A spring
AB
of constant
k
is attached to two identical gears as
shown. Knowing that the spring is undeformed when
0,
determine two values of the angle
corresponding to
equilibrium when
P
30 lb,
a
4 in.,
b
3 in.,
r
6 in., and
k
5 lb/in. State in each case whether the equilibrium is
stable, unstable, or neutral.
PROBLEM 10.82
A spring AB of constant k is attached to two identical gears as
shown. Knowing that the spring is undeformed when
0,
and given that
60 mm, 45 mm, 90 mm,abr
and
6 kN/m,k
determine (a) the range of values of P for which
a position of equilibrium exists, (b) two values of
corresponding to equilibrium if the value of P is equal to half
the upper limit of the range found in part a.
PROBLEM 10.83
A slender rod AB is attached to two collars A and B that can move
freely along the guide rods shown. Knowing that
30
and
P Q 400 N, determine the value of the angle
corresponding
to equilibrium.
PROBLEM 10.83 (Continued)
dV LP Q PL
PROBLEM 10.84
A slender rod AB is attached to two collars A and B that can move
freely along the guide rods shown. Knowing that
30 , 100 N,P
and 25 N,
Q determine the value of the
angle
corresponding to equilibrium.
PROBLEM 10.85
Cart B, which weighs 75 kN, rolls along a sloping track that forms an
angle
with the horizontal. The spring constant is 5 kN/m, and the
spring is unstretched when
0.
x
Determine the distance x
corresponding to equilibrium for the angle
indicated.
Angle
= 30 .
PROBLEM 10.86
Cart B, which weighs 75 kN, rolls along a sloping track that forms an
angle
with the horizontal. The spring constant is 5 kN/m, and the
spring is unstretched when
0.
x
Determine the distance x
corresponding to equilibrium for the angle
indicated.
Angle
= 60°.
PROBLEM 10.87
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
15 lb/in.k