# Problem 3.152 (PowerPoint) ```Problem 3.152
y
0.35 m
0.875 m
G
H
O
0.925 m
0.75 m
A
z
B
D
x
0.75 m
C
P
The frame ACD is hinged at A
and D and is supported by a
cable which passes through a
ring at B and is attached to
hooks at G and H. Knowing
that the tension in the cable is
450 N, determine the moment
force exerted on the frame by
portion BH of the cable.
Problem 3.152
y
0.35 m
0.875 m
G
H
O
0.925 m
0.75 m
A
z
B
D
x
0.75 m
C
P
The frame ACD is hinged at A
and D and is supported by a
cable which passes through a
ring at B and is attached to
hooks at G and H. Knowing
that the tension in the cable is
450 N, determine the moment
force exerted on the frame by
portion BH of the cable.
1. Determine the moment MOL of a force about a given axis OL.
MOL is defined as
MOL = l . MO = l . ( r x F )
where l is the unit vector along OL and r is a position vector from
any point on the line OL to any point on the line of action of F.
Problem 3.152 Solution
y
0.35 m
Determine the moment MAD of a
0.875 m
G
H
O
0.925 m
0.75 m
TBH
A l
z
rB/A
B
D
x
0.75 m
C
Where
1
(4 i _ 3 k)
5
rB/A = (0.5 m ) i
P
dBH =
( 0.375 )2 + ( 0.75 )2 + ( _ 0.75 )2
450 N
TBH =
( 0.375 i + 0.75 j _ 0.75 k )
1.125
= ( 150 N) i + ( 300 N) j _ ( 300 N) k
= 1.125 m
Problem 3.152 Solution
y
0.35 m
0.875 m
G
Finally:
H
O
0.925 m
0.75 m
TBH
A l
z
rB/A
B
D
x
0.75 m
C
P
4 0 _3