1. Problem 2.134 B A Two cables are tied together at C and
9 ft
5 ft
8.5 ft
12 ft
7.5 ft
Two cables are tied
together at C and
loaded as shown.
determine the tension
(a) in cable AC,
(b) in cable BC. B C
396 lb

2. Solving Problems on Your OwnA
9 ft
5 ft
8.5 ft
12 ft
7.5 ft B C
396 lb
Solving Problems on Your Own
Two cables are tied
together at C and
loaded as shown.
determine the tension
(a) in cable AC,
(b) in cable BC.
1. Draw a free-body diagram of the particle. This diagram shows
the particle and all the forces acting on it.
2. Set the resultant, or sum, of the forces exerted on the particle
equal to zero. You will obtain a vectorial equation consisting
of terms containing the unit vectors i, j, and k. Three scalar
equations result, which can be solved for the unknowns.

3. TBC = 0 S Fx = 0 : + TBC = 1.088 TAC S Fy = 0 : TBC 396 lb = 04
7.5 12
3.5
8.5
12.5
396 lb
FREE BODY C:
TBC = 0
S Fx = 0 : +
TBC = TAC
S Fy = 0 :
TBC lb = 0
Problem Solution
Draw a free-body diagram
of the particle.
Set the resultant, or sum, of
the forces exerted on the
particle equal to zero.

4. y
Problem Solution
TBC
TAC
12.5
8.5
3.5 4 x 12
7.5
396 lb
(a) Substitute for TBC:
3.5 4
TAC +
(1.088 TAC ) _ 396 lb = 0
12.5
8.5
( ) TAC _ 396 lb = 0
TAC = 500 lb
(b)
TBC = (500 lb)
TBC = 544 lb