Vector Addition: Parallelogram Method

1
Vector Addition Parallelogram Method
Jerome walks 4 km north, and 8 km east. What is
his displacement?
2
Graphical Tip to Tail Method
Jerome walks 4 km north, and 8 km east. What is
his displacement?
3
Graphical Vector Addition Parallelogram Method
4
Tip to Tail Method
5
Tip to Tail method
6
Analytical vector addition
2km _at_ 75
3km _at_ 20
7
Analytical vector addition
2km _at_ 75
3km _at_ 20
8
3km _at_ 20
h 3km
cos? a/h therefore a h cos?
sin? o/h therefore o h sin?
a 3 cos20
o 3 sin20
a 2.82km
o 1.03km
9
Analytical vector addition
2km _at_ 75
3km _at_ 20
Vector addition table
Vector mag Angle X Compt Y Compt
1 3 20 2.82 1.03
2 2 75
Rest
.52
1.93
3.34
2.96
10
Analytical vector addition
Vector addition table
Vector mag Angle X Compt Y Compt
1 3 20 2.82 1.03
2 2 75
Rest
R2 x2 y2 R2 3.342 2.962 R 4.46 km
.52
1.93
4.46
3.34
2.96
11
Analytical vector addition
Vector addition table
Vector mag Angle X Compt Y Compt
1 3 20 2.82 1.03
2 2 75
Rest
tan? opp/adj ? tan-1(y/x) ?
tan-1(2.96/3.34) ? 41.5
.52
1.93
3.34
2.96
41.5
4.46