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27. (a) We note that the angle between the cable and the strut is
α
=
θ
–
φ
= 45º – 30º = 15º.
The angle between the strut and any vertical force (like the weights in the problem) is
β
=
90º – 45º = 45º. Denoting
M
= 225 kg and
m
= 45.0 kg, and
A
as the length of the boom,
we compute torques about the hinge and find
()
2
sin
sin
sin
sin
/ 2
.
sin
sin
Mg
mg
Mg
mg
T
ββ
αα
+
+
==
A
A
A
The unknown length
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force

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