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BloomLocke367

  • one year ago

Help with finding Resultant vectors using trig? I kind of know what I'm doing but I want verification I'm doing it correctly.

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  1. Jaynator495
    • one year ago
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    *whistles while waiting*

  2. Jaynator495
    • one year ago
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    annnyyyy day now...

  3. Jaynator495
    • one year ago
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    and im waiting and im waiting and im waitng...

  4. Jaynator495
    • one year ago
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    TYPE FASTER!!!! xD

  5. BloomLocke367
    • one year ago
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    \(F_1=6.7~N~@ ~54°~W~of~N\) \(F_2=9.2~N~@ ~26°~W~of~S\)

  6. Jaynator495
    • one year ago
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    Jeese i go to help in math for the first time in a long time and people take forever to post the question! xD

  7. BloomLocke367
    • one year ago
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    sorry XD I had to look up the code for the degree sign

  8. Jaynator495
    • one year ago
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    XD

  9. BloomLocke367
    • one year ago
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    I'm pretty sure I have to add \(90°\) to the first one because it's in the 3rd quadrant and you always start in the first for these problems (this is technically physics but it's still math lol)

  10. Jaynator495
    • one year ago
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    you help them peachpi lel

  11. Jaynator495
    • one year ago
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    *laughs away*

  12. BloomLocke367
    • one year ago
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    I know I have to separate it in components and I do that using trig.. so.. hang on.. this will take some time for me to type out lol. please be patient.

  13. IrishBoy123
    • one year ago
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    draw it :p quicker/easier

  14. BloomLocke367
    • one year ago
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    I can't.. my cursor goes BEHIND google chrome.. so I have to type it. /sigh

  15. Jaynator495
    • one year ago
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    um, out of curiosity, is it a piticulair site orrr...

  16. BloomLocke367
    • one year ago
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    IT'S GOOGLE CHROME. ONLY GOOGLE CHROME DOES IT. ALL SITES.

  17. BloomLocke367
    • one year ago
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    sorry

  18. Jaynator495
    • one year ago
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    LMAO

  19. BloomLocke367
    • one year ago
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    anyhoo.. let me do math cx

  20. Jaynator495
    • one year ago
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    i still dont know what to tell you... *laughs !!half!! to !^death^!*

  21. BloomLocke367
    • one year ago
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    \(F_{1x}=6.7Cos(144)\\F_{1y}=6.7Sin(144)\\ F_{2x}=2.9Cos(244)\\F_{2y}=2.9Sin(244)\) I know I then have to add \(F_{1x}\) and \(F_{2x}\) and add \(F_{1y}\) and \(F_{2y}\).

  22. BloomLocke367
    • one year ago
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    @IrishBoy123

  23. BloomLocke367
    • one year ago
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    is that correct so far?

  24. BloomLocke367
    • one year ago
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    @phi

  25. phi
    • one year ago
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    yes, that looks good

  26. BloomLocke367
    • one year ago
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    okay so when I added \(F_{1x}\) and \(F_{2x}\) I got -1.48... but I have a calculator on my phone and I don't know if it's in radians or degrees so I'm not sure that's right...

  27. phi
    • one year ago
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    up top you said F2 is 9.2 and in your calculations you are using 2.9 which is it ?

  28. BloomLocke367
    • one year ago
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    dang it.. it's 9.2.. I accidentally wrote 2.9 :/ okay let me redo them.

  29. BloomLocke367
    • one year ago
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    -9.45?

  30. phi
    • one year ago
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    yes, for the x value

  31. BloomLocke367
    • one year ago
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    okay now for y...

  32. BloomLocke367
    • one year ago
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    -4.33?

  33. phi
    • one year ago
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    yes

  34. BloomLocke367
    • one year ago
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    so then I take \(F=\sqrt{(-9.45)^2+(-4.33)^2}\) right?

  35. phi
    • one year ago
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    if you want the magnitude, yes

  36. BloomLocke367
    • one year ago
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    yes that is what we are looking for at this moment. I'll find the degree next using tangent.

  37. BloomLocke367
    • one year ago
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    I got 10.39. is that right?

  38. BloomLocke367
    • one year ago
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    and I got 8.01° for the angle measure.. but both x and y are negative.. so it needs to be in the 3rd quadrant and is currently in the first.. so I have to add 180, correct? to get 188.01°

  39. BloomLocke367
    • one year ago
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    wait.. that doesn't matter because they gave direction.. so instead I would just say 8.01° N of E, right?

  40. BloomLocke367
    • one year ago
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    I don't know. .this is where I get confused.

  41. phi
    • one year ago
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    you probably want to use 3 decimals in the calculation if you want 2 digit accuracy I get mag 10.4 (rounded 10.3979) No I did not get 8 degrees type into google atan(4.331/9.453) in degrees =

  42. BloomLocke367
    • one year ago
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    wait.. why did you use those numbers? I used -4.33 and -9.45..

  43. phi
    • one year ago
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    |dw:1443212499462:dw|

  44. BloomLocke367
    • one year ago
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    wait nevermind *facepalm*

  45. phi
    • one year ago
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    I used 3 digits (you can always round down later) I ignored the 2 minus signs because they cancel each other

  46. BloomLocke367
    • one year ago
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    I SEE WHAT I DID. I typed 1.33 and not 4.33 XD

  47. BloomLocke367
    • one year ago
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    24.62?

  48. phi
    • one year ago
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    yes, and that will be 24.6 degrees south of west or 65.4 degrees west of south

  49. BloomLocke367
    • one year ago
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    wait.. why is it south of west?..

  50. phi
    • one year ago
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    |dw:1443212895471:dw|

  51. BloomLocke367
    • one year ago
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    I thought what we calculated was 24.6° N of E... and we would have to figure out S of W.. but I don't know.

  52. BloomLocke367
    • one year ago
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    Is it because I added what I needed to in the beginning? so I don't have to at the end?

  53. phi
    • one year ago
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    you changed 54º W of N to 144º (measured as we do in math, counter clockwise from the positive x-axis). similarly you changed 26º W of S to 244º now add the vectors (head to tail) |dw:1443213168068:dw|

  54. phi
    • one year ago
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    you found the components of the dark vector <9, -4> it is pointing south of west. if we find the angle it makes with the (negative) x-axis we get 24.6º

  55. BloomLocke367
    • one year ago
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    ohhh okay. I think I understand a little bit better. My main issue is figuring out what direction/angle the resultant vector is going.

  56. phi
    • one year ago
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    using formulas (as you did) and drawing the vectors are very different ways of solving the problem. If you do it both ways, it is a good way to check your results. the picture gives you a rough idea of the answer and the formulas give the exact numbers.

  57. BloomLocke367
    • one year ago
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    Alright. The next one has 3 vectors.. I generally understand these they just take me a very long time to do them. :/

  58. BloomLocke367
    • one year ago
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    Do you mind if I open a new question and tag you?

  59. phi
    • one year ago
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    yes, a new post is better

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