Vector Addition
1. Using the parallelogram method and doing the counter-clockwise method, add the following vectors and determine the resultant.
3.0 m/s, 45 deg and 5.0 m/s, 135 deg
2. Using the parallelogram method and doing the clockwise method, add the following vectors and determine the resultant.
5.0 m/s, 45 deg and 2.0 m/s, 180 deg
3. Using the polygon method and doing the counter-clockwise method, add the following vectors and determine the resultant.
6.0 m/s, 225 deg and 2.0 m/s, 90 deg
4. Using the trig method and doing the counter-clockwise method, add the following vectors and determine the resultant.
4.0 m/s, 135 deg and 4.0 m/s, 315 deg
5. Using the trig method and doing the counter-clockwise method, add the following vectors and determine the resultant.
5.0 m/s, 45 deg and 2.5 m/s, 135 deg
6. Using the law of sine and cosine method and doing the clockwise method, add the following vectors and determine the resultant.
7.0 m/s, 0 deg and 2.0 m/s, 90 deg
7. Using the law of sine and cosine method and doing the counter-clockwise method, add the following vectors and determine the resultant.
8.0 m/s, 330 deg and 4.0 m/s, 45 deg
8. Using the component method and doing the counter-clockwise method, add the following vectors and determine the resultant.
2.0 m/s, 150 deg and 4.0 m/s, 225 deg
9. Using the polygon method and doing the clockwise method, add the following vectors and determine the resultant.
3.0 m/s, 45 deg and 5.0 m/s, 135 deg and 2.0 m/s, 60 deg
10. Using the polygon method and doing the counter-clockwise method, add the following vectors and determine the resultant.
2.0 m/s, 315 deg and 5.0 m/s, 180 deg and 2.0 m/s, 60 deg
11. Using the polygon method and doing the clockwise method, add the following vectors and determine the resultant.
4.0 m/s, 90 deg and 2.0 m/s, 0 deg and 2.0 m/s, 210 deg
12. Using the polygon method and doing the counter-clockwise method, add the following vectors and determine the resultant.
2.5 m/s, 45 deg and 5.0 m/s, 270 deg and 5.0 m/s, 330 deg
Answers and Solutions
1. 3.0 m/s, 45 deg + 5.0 m/s, 135 deg = 5.83m/s, 104 deg (Note: the resultant is drawn in red.)
2. 5.0 m/s, 45 deg + 2.0 m/s, 180 deg =3.85m/s, 66.5 deg (Note: the resultant is drawn in red.)
3. 6.0 m/s, 225 deg+ 2.0 m/s, 90 deg= 4.80m/s, 207.9 deg (Note: the resultant is drawn in red.)
4. 4.0 m/s, 135 deg+ 4.0 m/s, 315 deg = 0 m/s(Note: the resultant is drawn in red.)
5. 5.0 m/s, 45 deg+ 2.5 m/s, 135 deg= 5.59m/s, 71.6 deg (Note: the resultant is drawn in red.)
6. 7.0 m/s, 0 deg+ 2.0 m/s, 90 deg= 7.28 m/s,15.9 deg (Note: the resultant is drawn in red.)
7. 8.0 m/s, 330 deg+ 4.0 m/s, 45 deg= 9.83m/s,352.2 deg (Note: the resultant is drawn in red.)
8. 2.0 m/s, 150 deg+ 4.0 m/s, 225 deg=4.91m/s, 201.8 deg (Note: the resultant is drawn in red.)
9. 3.0 m/s, 45 deg+ 5.0 m/s, 135 deg+ 2.0 m/s,60 deg= 7.40m/s, 93.2 deg (Note: the resultant is drawn in red.)
10. 2.0 m/s, 315 deg+ 5.0 m/s, 180 deg+ 2.0m/s, 60 deg= 2.61m/s, 173 deg (Note: the resultant is drawn inred.)
11. 4.0 m/s, 90 deg+ 2.0 m/s, 0 deg+ 2.0 m/s,210 deg= 3.01 m/s, 84.9 deg (Note: the resultant is drawn inred.)
12. 2.5 m/s, 45 deg+ 5.0 m/s, 270 deg+ 5.0m/s, 330 deg= 8.37 m/s, 316.8 deg (Note: the resultant is drawn inred.)