PROBLEM 2.98
For the boom and loading of Problem. 2.97, determine
the magnitude of the load P.
PROBLEM 2.97 The boom OA carries a load P and is
supported by two cables as shown. Knowing that the
tension in cable AB is 183 lb and that the resultant of
the load P and of the forces exerted at A by the two
cables must be directed along OA, determine the
tension in cable AC.
PROBLEM 2.99
A container is supported by three cables that are attached to
a ceiling as shown. Determine the weight W of the container,
knowing that the tension in cable AB is 6 kN.
PROBLEM 2.99 (Continued)
From i:
45 50 0
75 86
AB AD
TT−+ =
(1)
60 60 60 0
AC
PROBLEM 2.100
A container is supported by three cables that are attached to
a ceiling as shown. Determine the weight W of the container,
knowing that the tension in cable AD is 4.3 kN.
PROBLEM 2.101
Three cables are used to tether a balloon as shown. Determine
the vertical force P exerted by the balloon at A knowing that the
tension in cable AD is 481 N.
PROBLEM 2.101 (Continued)
Equilibrium condition:
0: 0
AB AC AD
FPΣ= + + + =TTT j
PROBLEM 2.102
Three cables are used to tether a balloon as shown. Knowing
that the balloon exerts an 800–N vertical force at A, determine
the tension in each cable.
PROBLEM 2.103
A 36–lb triangular plate is supported by three wires as shown. Determine
the tension in each wire, knowing that a = 6 in.
SOLUTION
By Symmetry
DB DC
TT
=
Free-Body Diagram of Point D:
PROBLEM 2.103 (Continued)
Equilibrium condition:
0: (36 lb) 0
DA DB DC
FΣ= + + + =TTT j
PROBLEM 2.104
Solve Prob. 2.103, assuming that a = 8 in.
PROBLEM 2.103 A 36–lb triangular plate is supported by three wires
as shown. Determine the tension in each wire, knowing that a = 6 in.
SOLUTION
By Symmetry
DB DC
TT
=
Free-Body Diagram of Point D: