COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 26.
Have
M C = rA/C × FBA
where
rA/C = ( 0.96 m ) i − ( 0.12 m ) j + ( 0.72 m ) k
and
FBA = λ BA FBA
− ( 0.1 m ) i + (1.8 m ) j − ( 0.6 m ) k
=
228 N )
(
( 0.1)2 + (1.8)2 + ( 0.6 )2 m
= − (12.0 N ) i + ( 216 N ) j − ( 72 N ) k
i
j
k
∴ M C = 0.96 −0.12 0.72 N ⋅ m
−12.0 216 −72
= − (146.88 N ⋅ m ) i + ( 60.480 N ⋅ m ) j + ( 205.92 N ⋅ m ) k
or M C = − (146.9 N ⋅ m ) i + ( 60.5 N ⋅ m ) j + ( 206 N ⋅ m ) k W
.