COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 152.
For equivalence
Σ F: FA + FB + FC + FD = R C
R C = − ( 5 lb ) j − ( 3 lb ) j − ( 4 lb ) k − ( 7 lb ) i
∴ R C = ( −7 lb ) i − ( 8 lb ) j − ( 4 lb ) k
Also for equivalence
ΣM C : rA′/C × FA + rB′/C × FB + rD′/C × FD = M C
or
MC
i j
k
i
j
k
i
j
k
= 0 0 −1.5 in. + 1 in. 0 −1.5 in. + 0 1.5 in. 1.5 in.
0 5 lb
0
0 −3 lb
0
−7 lb
0
0
= ( −7.50 lb ⋅ in. − 0 ) i + ( 0 − 4.50 lb ⋅ in.) i + ( −3.0 lb ⋅ in. − 0 ) k
+ (10.5 lb ⋅ in. − 0 ) j + ( 0 + 10.5 lb ⋅ in.) k
or M C = − (12.0 lb ⋅ in.) i + (10.5 lb ⋅ in.) j + ( 7.5 lb ⋅ in.) k
.
COSMOS Chapter 3 Solution 152
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