p13_028.pdf

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Chapter 13 - 13.28
28. (a) Computing torques about the hinge, we find the tension in the wire:
TL sin θ
−
Wx =0 =
⇒
T = Wx
L sin θ
.
(b) The horizontal component of the tension is T cos θ , so equilibrium of horizontal forces requires that
the horizontal component of the hinge force is
F x = Wx
L sin θ
cos θ =
Wx
L tan θ
.
(c) The vertical component of the tension is T sin θ , so equilibrium of vertical forces requires that the
vertical component of the hinge force is
F y = W
−
Wx
L sin θ
sin θ = W 1
−
L .
x
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