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anonymous

  • 5 years ago

whats R? A 3m south of east B 3m north C 3m 30 degrees north east D 3m 50 degrees south west

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  1. anonymous
    • 5 years ago
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    what's the general question ? ^_^

  2. anonymous
    • 5 years ago
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    whats R? Magnitude of R and direction of R.

  3. anonymous
    • 5 years ago
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    how can we determine the magnitude of R and direction of R if there's no problem lol?

  4. anonymous
    • 5 years ago
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    i can show you a sample of a previous problem and how it's done.

  5. anonymous
    • 5 years ago
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    Nikolas Oman April 17 at 6:46pm best way to resolve each vector into perpendicular components. i = positive horizontal direction (to the right) j = positive vertical direction (up) A = -5 cos 65 i + 5 sin 65 j B = 5 cos 50 i - 5 sin 50 j C = -5 cos 45 i - 5 sin 45 j R = A + B + C = (-5 cos 65 + 5 cos 50 - 5 cos 45) i + (5 sin 65 - 5 sin 50 - 5 sin 45) j R = -2.435 i - 2.834 j Now use the Pythagorean Theorem to get the magnitude: Magnitude of R = √(2.435² + 2.834²) = 3.7 m Direction of R = arctan(-2.834/-2.435) = 229.3° ... so that's 49.3° south of west

  6. anonymous
    • 5 years ago
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    that's the question? :)

  7. anonymous
    • 5 years ago
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    no thats another problem. question is whats the magnitude and direction of R if vectors are: A 3m south of east B 3m north C 3m 30 degrees north east D 3m 50 degrees south west

  8. anonymous
    • 5 years ago
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    LOL >_< my bad, I thought those were the choices ^^"

  9. anonymous
    • 5 years ago
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    lol no do you know how to do it?

  10. anonymous
    • 5 years ago
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    I'll give it a try? :)

  11. anonymous
    • 5 years ago
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    tnx :)

  12. anonymous
    • 5 years ago
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    np ^_^

  13. anonymous
    • 5 years ago
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    remind me, In the previous problem, A = -5 cos 65 i + 5 cos65 j < -- angles were given? or is that the general form

  14. anonymous
    • 5 years ago
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    angles were given

  15. anonymous
    • 5 years ago
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    how about for this problem?

  16. anonymous
    • 5 years ago
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    A 3m south of east B 3m north C 3m 30 degrees north east D 3m 50 degrees south west

  17. anonymous
    • 5 years ago
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    this is all that's given

  18. anonymous
    • 5 years ago
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    hmm, that means that you have to figure out the angles from the given

  19. anonymous
    • 5 years ago
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    B is easy, 3 m north , angle = 90 degrees

  20. anonymous
    • 5 years ago
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    hmm yea and A? 45 degrees?

  21. anonymous
    • 5 years ago
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    since they haven't given you the angles, yes you can assume that A = 45 degrees

  22. anonymous
    • 5 years ago
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    and now? how much is R?

  23. anonymous
    • 5 years ago
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    all you've got to do is use the same way you've used in the previous question :) I think your prob was trying to figure out the angles? right?

  24. anonymous
    • 5 years ago
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    well it's not my homework :) it's my friends homework and I have no idea how to do it :)

  25. anonymous
    • 5 years ago
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    lol >_<

  26. anonymous
    • 5 years ago
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    Alright, let's try to solve it together ^_^

  27. anonymous
    • 5 years ago
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    she solved it and got 2.79m 1.65 degrees north of east and she just wants to check if it's ok

  28. anonymous
    • 5 years ago
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    so: i = positive horizontal direction (to the right) j = positive vertical direction (up) then we can say the following : A = 3 cos 45 - 3 sin 45 B = 3 sin 90 C = 3 cos 30 + 3 sin 30 D = - 3 cos 50 - 3 sin 50

  29. anonymous
    • 5 years ago
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    yep i agree so far

  30. anonymous
    • 5 years ago
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    now: R = A + B + C = (3 cos 45 - 3 sin 45 ) + (3 sin 90 ) + (3 cos 30 + 3 sin 30) + (-3 cos 50 - 3 sin 50) = 0 + 3 + pi - 4.23 = 1.912

  31. anonymous
    • 5 years ago
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    R= 3 cos 45 + 3 cos 30 - 3 cos 50)i + (3 sin 45 + 3 sin 90 + 3 sin 30 - 3 sin 50)j

  32. anonymous
    • 5 years ago
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    lol, wait, I've messed it up

  33. anonymous
    • 5 years ago
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    yeah, hold on :)

  34. anonymous
    • 5 years ago
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    ok

  35. anonymous
    • 5 years ago
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    R = 1.76 i - 3.32 j I might have some calculation mistakes, it happens ^_^

  36. anonymous
    • 5 years ago
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    so this is it?

  37. anonymous
    • 5 years ago
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    \[R = \sqrt((1.76)^2 + (3.32)^2)\] = 3.74 m

  38. anonymous
    • 5 years ago
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    alright thank you so very much!

  39. anonymous
    • 5 years ago
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    arctan = -62.07

  40. anonymous
    • 5 years ago
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    np :)

  41. anonymous
    • 5 years ago
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    thank you thank you so her answer was wrong?

  42. anonymous
    • 5 years ago
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    I'm not sure what was her answer lol , I just followed the steps and given :)

  43. anonymous
    • 5 years ago
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    ok thank you!

  44. anonymous
    • 5 years ago
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    np ^_^, but I'm not sure though ^^"

  45. anonymous
    • 5 years ago
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    is there an online calculator where i could check this?

  46. anonymous
    • 5 years ago
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    there's your hand-calculator? :)

  47. anonymous
    • 5 years ago
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    i dont have it :/

  48. anonymous
    • 5 years ago
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    can you calculate this for me please? R = (3 cos 45 + 3 cos 30 - 3 cos 50)i + (-3 sin 45 + 3 sin 90 + 3 sin 30 - 3 sin 50)

  49. anonymous
    • 5 years ago
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    I did lol, that's what I got, answer above

  50. anonymous
    • 5 years ago
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    you can check with your calculator if you want :)

  51. anonymous
    • 5 years ago
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    oh ok thank you again :)

  52. anonymous
    • 5 years ago
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    lol, np ^_^

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