F
4
60
o
F
3
F
1
F
2
Homework (lesson4)
Problem 1
Two forces F
1
and F
3
of magnitude F
1
= 50N and F
3
= 100N are applied to the block shown in the figure below. Knowing that
the block is in equilibrium, determine the magnitudes of the force F
2
and F
4
.
Solution: F
2
= 57.7N, F
4
= 71.2N
Problem 2
Knowing that the magnitude of both F
1
and F
2
is 100N, determine the tension in the cables connected to A and B.
Solution: T
A
= 42.3N, T
B
= 15.4N
Problem 3
The collar A may slide freely on the horizontal smooth rod. Determine the magnitude of the force F and the reaction R of the
rod on the block when the system is in equilibrium.
Solution: F = 7N rightward, R = 7N downward
Problem 4
Determine the resultant moment about A and B for the given systems of vectors
F
1m
1Kg
1m
A
B
v
1
v
2
v
3
O
B
A
v
3
O
B
A
v
1
v
2
x
y
x
y
60
o
30
o
B
A
F
2
F
1
