COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 71.
(a)
Have
M = ΣFd (
)
= ( 9 lb )(13.8 in.) − ( 2.5 lb )(15.2 in.)
= ( 86.2 lb ⋅ in.)
M = 86.2 lb ⋅ in.
(b)
Have
M = Td = 86.2 lb ⋅ in.
For T to be a minimum, d must be maximum.
∴ Tmin must be perpendicular to line AC.
tan θ =
15.2 in.
11.4 in.
θ = 53.130°
or θ = 53.1°
(c)
Have
M = Tmin d max Where M = 86.2 lb ⋅ in.
d max =
(15.2 in.)2 + (11.4 in.)2
+ 2 (1.2 in.)
= 21.4 in.
∴ 86.2 lb ⋅ in. = Tmin ( 21.4 in.)
Tmin = 4.0280 lb
or Tmin = 4.03 lb
.
COSMOS Chapter 3 Solution 71
of 1
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