# Transcribed Image Text: The bent rod in Fig. a is supported at A by a journal bearing, at D by a ball-and-socket joint, and at

Transcribed Image Text: The bent rod in Fig. a is supported at A by a journal bearing, at D by
a ball-and-socket joint, and at B by means of cable BC. Using only
one equilibrium equation, obtain a direct solution for the tension in
cable BC. The bearing at A is capable of exerting force components
only in the z and y directions since it is properly aligned on the shaft.
In other words, no couple moments are required at this support.
1m
B
0.5 m
.Free-Body Diagram. As shown in Fig. b, there are six unknowns
0.5 m
D
Equations of Equilibrium. The cable tension Tg may be obtained
directly by summing moments about an axis that passes through
points D and A. Why?
100 kg
(a)
Since the moment arms from the axis to Tg and W are easy to obtain,
we can determine this result using a scalar analysis. As shown,Fig. b
EMPA = 0; T(1 m sin 45°) – 981 N(0.5 m sin 45°) = 0
T = 490.5 N
B.
45°-
0.5 m W = 981 N
D
D,
0.5 m
D,
D,
(b)