FR
F2Rx
F2Ry
tan
FRy
FRx
tan1
FRy
FRx
Vectors
ANALYTICAL METHOD OF VECTOR ADDITION
Rev. 0
Page 27
CP-02
Step 2:
Resolve each vector into its rectangular components.
Vector
Angle
x component
y component
F
F = F cos
F = F sin
1
F
F = F cos
F = F sin
2
F
F = F cos
F = F sin
3
1
2
3
1x
1
1
2x
2
2
3x
3
3
1y
1
1
2y
2
2
3y
3
3
Step 3:
Sum the x and y components.
F = - F = F + F + F
Rx
x
1x
2x
3x
F = - F = F + F + F
Ry
y
1y
2y
3y
Where "- " means summation
Step 4:
Calculate the magnitude of F .
R
Step 5:
Calculate the angle of displacement.
