*HELP FILLING OUT TABLE WITH PROCEDURE DIRECTONS*Procedure 5: Adding Vectors with TrigThe easiest and most accurate way to add the vectors is with trigonometry. To do this: Add all of the x components to get the total distance the resultant travels in the x direction. Since Vx = V cos θ gives the x-component of vector V, use Rx = A cos θA + B cos θB + ...Add all of the y components to get the total distance the resultant travels in the y direction. Since Vy = V sin θ gives the x-component of vector V, use RY = A sin θA + B sin θB + ...use the Pythagorean theorem to find R, the length of the resultantuse arcTan θ, the angle at which we R deviates from the horizontalFix the angle if neededExample: Procedure 5: Adding Vectors with TrigRSet 1A =360490B =1802180A =1804162B =2004250Set 2C=205410B =250z120C =300L210Set 3A=200280B =3004130C =340L250Set 4A=50290 A = 400220°B= 300Z120°C=150/210°Rx = 400 cos 20° +300 cos120° +150 cos 210° = 96 andRy = 400 sin 20° +300 sin 120° +150sin 210°= 322R = 196? + 322 = 336322e = tan|= 73.4° (notice, this is in first quadrant)96so R = 336473.4°

To calculate the resultant vector.

Answered: Procedure 5: Adding Vectors with Trig R…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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HELP FILLING OUT TABLE WITH PROCEDURE DIRECTONS

Procedure 5: Adding Vectors with Trig

The easiest and most accurate way to add the vectors is with trigonometry. To do this:
- Add all of the x components to get the total distance the resultant travels in the x direction. Since Vx = V cos θ gives the x-component of vector V, use Rx = A cos θA + B cos θB + ...
- Add all of the y components to get the total distance the resultant travels in the y direction. Since Vy = V sin θ gives the x-component of vector V, use RY = A sin θA + B sin θB + ...
- use the Pythagorean theorem to find R, the length of the resultant
- use arcTan θ, the angle at which we R deviates from the horizontal
- Fix the angle if needed

Example:

Procedure 5: Adding Vectors with Trig
R
Set 1
A =
360490
B =
1802180
A =
1804162
B =
2004250
Set 2
C=
205410
B =
250z120
C =
300L210
Set 3
A=
200280
B =
3004130
C =
340L250
Set 4
A=
50290

A = 400220°
B= 300Z120°
C=150/210°
Rx = 400 cos 20° +300 cos120° +150 cos 210° = 96 and
Ry = 400 sin 20° +300 sin 120° +150sin 210°= 322
R = 196? + 322 = 336
322
e = tan
|= 73.4° (notice, this is in first quadrant)
96
so R = 336473.4°

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