COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 102.
WA = mA g = ( 38 kg ) g
First
WB = mB g = ( 29 kg ) g
WC = mC g = ( 27 kg ) g
(a)
For resultant weight to act at C,
Then
ΣM C = 0
( 38 kg ) g ( 2 m ) − ( 27 kg ) g ( d ) − ( 29 kg ) g ( 2 m ) = 0
∴ d =
76 − 58
= 0.66667 m
27
or d = 0.667 m
WC = mC g = ( 24 kg ) g
(b)
For resultant weight to act at C,
Then
ΣM C = 0
( 38 kg ) g ( 2 m ) − ( 24 kg ) g ( d ) − ( 29 kg ) g ( 2 m ) = 0
∴ d =
76 − 58
= 0.75 m
24
or d = 0.750 m
.