COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 24.
(a)
Have
M O = rB/O × TBD
where
rB/O = ( 2.5 m ) i + ( 2 m ) j
TBD = TBD
JJJG
BD
BD
− (1 m ) i − ( 2 m ) j + ( 2 m ) k
= ( 900 N )
( −1 m ) 2 + ( − 2 m ) 2 + ( 2 m ) 2
= − ( 300 N ) i − ( 600 N ) j + ( 600 N ) k
Then
MO
i
j
k
= 2.5
2
0 N⋅m
− 300 − 600 600
M O = (1200 N ⋅ m ) i − (1500 N ⋅ m ) j − ( 900 N ⋅ m ) k W
continued
. COSMOS: Complete Online Solutions Manual Organization System
(b)
Have
M O = rB/O × TBE
where
rB/O = ( 2.5 m ) i + ( 2 m ) j
TBE = TBE
JJJG
BE
BE
− ( 0.5 m ) i − ( 2 m ) j − ( 4 m ) k
= ( 675 N )
( 0.5 m )2 + ( −2 m )2 + ( − 4 m )2
= − ( 75 N ) i − ( 300 N ) j − ( 600 N ) k
Then
MO
i
j
k
= 2.5
2
0 N⋅m
− 75 − 300 − 600
M O = − (1200 N ⋅ m ) i + (1500 N ⋅ m ) j − ( 600 N ⋅ m ) k W
.
COSMOS Chapter 3 Solution 24
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