## burhan101 2 years ago Determine magnitude and direction of resulting vector

1. burhan101

|dw:1361169366936:dw|

2. ihatealgebrasomuch

I GOT THIS, I JUST ACED A TEST OVER THIS.. ONE SECOND

3. ihatealgebrasomuch

okay, first can you give me what the problem says so i can depict the picture a little better?

4. burhan101

OKAY :D

5. burhan101

thats the picture given !

6. burhan101

but here ill rewrite the question

7. burhan101

A camera is suspended by two wires over a football field to get shots of the action form above. At one point, the camera is closer to the left side of the field. The tension in the wire on the left is 1500 N, and the tension in the wire on the right is 800 N. The angle between the two wires is 130 degrees. Determine the approximate magnitude and direction of the resultant force.

8. burhan101

|dw:1361220921232:dw|

9. burhan101

That says 50 degrees, i accidentally typed N

10. ihatealgebrasomuch

|dw:1361220666415:dw| the only thing i dont understand is the 50 degrees you just mentioned.. was that given? how did you get that?

11. burhan101

That is the picture given

12. ihatealgebrasomuch

so the 800N is going directly East and the 1500N is going that 50deg direction?

13. burhan101

Yup !

14. ihatealgebrasomuch

okay so that means to get the component form you put <1500cos50, 1500sin50> and add that with <800, 0> **the sine is zero because it is on the x-axis.** and what do you get?

15. burhan101

Why do you put <1500cos50, 1500sin50>

16. ihatealgebrasomuch

that should give you <1764, 1149> you have to sqaure them and set them equal to the resulant vector so R (being the resultant vector)....|dw:1361221683792:dw|

17. ihatealgebrasomuch

that is the formula you use in order to put the two vectors in component form. then once you do that, you have to take the square root of the numbers you get squared.

18. burhan101

But its not a right triangle :S

19. burhan101

you're doing the Pythagorean theorem right

20. ihatealgebrasomuch

it doesnt have to be a right triangle

21. ihatealgebrasomuch

but i was using the distance formula

22. ihatealgebrasomuch

If you dont understand it, i recommend quickly looking over this site (only should take 5 minutes) and then come back and try to see if you understand anything more and if you have any questions i am happy to help! :) http://hotmath.com/hotmath_help/topics/magnitude-and-direction-of-vectors.html

23. burhan101

@ihatealgebrasomuch okay then what do i do with the R i get 2105.207

24. burhan101

i dont get it

25. burhan101

i dont get how you got thoses number from 1500N and 800 N

26. ihatealgebrasomuch

okay, that is the magnitude of the resultant vector, not all you have to do if find the direction which is tan^-1 (sin/cos) or in this case 1149/1764 which ends up being about 33 degrees