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PROBLEM 4.53
A slender rod AB, of weight W, is attached to blocks A and B,
which move freely in the guides shown. The blocks are
connected by an elastic cord that passes over a pulley at C.
(a) Express the tension in the cord in terms of W and
.
(b) Determine the value of
for which the tension in the cord is
equal to 3W.
PROBLEM 4.54
A vertical load P is applied at end B of rod BC. (a) Neglecting the
weight of the rod, express the angle
corresponding to the
equilibrium position in terms of P, l, and the counterweight W. (b)
Determine the value of
corresponding to equilibrium if
P 2W.
PROBLEM 4.54 (Continued)
11 1 1
PROBLEM 4.55
A vertical load
P
is applied at end B of rod BC. (a) Neglecting the weight
of the rod, express the angle
corresponding to the equilibrium position in
terms of P, l, and the counterweight W. (b) Determine the value of
corresponding to equilibrium if P 2W.
PROBLEM 4.56
A collar B of weight W can move freely along the vertical rod shown. The
constant of the spring is k, and the spring is unstretched when
0.
(a)
Derive an equation in
, W, k, and l that must be satisfied when the collar is
in equilibrium. (b) Knowing that
300 N,W
l500 mm, and
800 N/m,k
determine the value of
corresponding to equilibrium.
PROBLEM 4.57
Solve Sample Problem 4.5, assuming that the spring is
unstretched when
90 .
PROBLEM 4.58
A vertical load P is applied at end B of rod BC. The constant of the
spring is k, and the spring is unstretched when θ = 60°. (a) Neglecting
the weight of the rod, express the angle θ corresponding to the
equilibrium position terms of P, k, and l. (b) Determine the value of θ
corresponding to equilibrium if P = 4
1kl.
PROBLEM 4.58 (Continued)
2
PROBLEM 4.59
Eight identical 500 750-mm rectangular plates, each of mass 40 kg,m are held in a vertical plane as
shown. All connections consist of frictionless pins, rollers, or short links. In each case, determine whether
(a) the plate is completely, partially, or improperly constrained, (b) the reactions are statically determinate
or indeterminate, (c) the equilibrium of the plate is maintained in the position shown. Also, wherever
possible, compute the reactions.
D
PROBLEM 4.59 (Continued)
