1
Problem 1
Determine the magnitude of the resultant force
F
R
= F
1
+
F
2
+
F
3
and its direction, measured counterclockwise from the positive
x-axis
.
F
Rx
= F
1x
+
F
2x
+
F
3x
= - 0.703 kN
,
F
Ry
= F
1y
+
F
2y
+
F
3y
= 0.708 kN
F
R
=
0.998 kN
θ
= 134.8
o
Given:
F
1
= 600 N
F
2
= 800 N
F
3
= 450 N
α
= 45 deg m
β
= 60 deg
γ
= 75 deg
Problem 2
Resolve the force
F
2
into components acting along the
u
and
v
axes and determine the
magnitudes of the components.
Given:
F
1
= 300 N
F
2
= 500 N
α
= 30 deg
β
= 45 deg
γ
= 70 deg
Problem 3
The boat is to be pulled onto the shore using two ropes. Determine the magnitudes of forces T
and
P
acting in each rope in order to develop a resultant
force
F
1
, directed along the keel
axis
aa
as shown.
Given:
θ
= 40 deg
θ
1
= 30 deg
F
1
= 80 lb

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*