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katherinekc

Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of these forces. Round to two decimal places in all intermediate steps and in your final answer. show work

  • one year ago
  • one year ago

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  1. youarestupid
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    write something down if YOU want a medal

    • one year ago
  2. katherinekc
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    i just need help on the problem please!

    • one year ago
  3. youarestupid
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    plus I am sorry but I do not know the answer

    • one year ago
  4. Tushara
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    calculate the vertical and horizontal components of each force, and then all the vertical forces together, then add horizontal forces together... after that u can combine the vertical and horizontal vector using pythagaros theorem to get the resulting force

    • one year ago
  5. katherinekc
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    im not sure how to do all that .. im horrible in math and im just trying to pass so i can be done:(

    • one year ago
  6. katherinekc
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    I know i have to resolve each vector into horizontal and vertical components using sin and cos but im not sure how to actually begin

    • one year ago
  7. geerky42
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    Always try to sketch. It may help you.|dw:1359302063400:dw|

    • one year ago
  8. geerky42
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    Just do what @Tushara told you to do.

    • one year ago
  9. katherinekc
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    i just dont know where or how to really do it :/

    • one year ago
  10. mathstudent55
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    |dw:1359302350812:dw|

    • one year ago
  11. geerky42
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    |dw:1359302341604:dw|\[\Large \sin \theta = \dfrac{y}{r} \Rightarrow r \sin \theta = y\]\[\Large \cos \theta = \dfrac{x}{r} \Rightarrow r \cos \theta = x\]

    • one year ago
  12. katherinekc
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    but how would i put this all into writing to show my work? like in step form?

    • one year ago
  13. mathstudent55
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    |dw:1359302475063:dw|

    • one year ago
  14. katherinekc
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    i began with this.. is this a good start; f1x= 200cos(60) f1x= 100 cos (170) rx= 200 cos(60) + 100 cos(170)

    • one year ago
  15. mathstudent55
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    F1 = 200, F2 = 100 F1x = F1 cos 60 F1y = F1 sin 60 F2x = f2 cos 170 F2x =F2 sin 170 Rx = F1x + F2x Ry = F1y + F2y R(theta) = tan^1(Ry/Rx)

    • one year ago
  16. mathstudent55
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    On the second line, you mean f2x, but that's good.

    • one year ago
  17. katherinekc
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    but now where do i go ?

    • one year ago
  18. mathstudent55
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    Now do the same for the force components in the y direction.

    • one year ago
  19. katherinekc
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    whhat do u mean?

    • one year ago
  20. mathstudent55
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    Do this: f1x= 200cos(60) f2x= 100 cos (170) rx= 200 cos(60) + 100 cos(170) For F1y, F2y, and Ry

    • one year ago
  21. mathstudent55
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    F1y = F1 sin 170 F2y = ... Ry = F1y + F2y = ...

    • one year ago
  22. katherinekc
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    f1y = 100 sin (170) f2y = 200 sin ( ) ?? hmm

    • one year ago
  23. mathstudent55
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    F1 = 200, F2 = 100. You switched them.

    • one year ago
  24. katherinekc
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    f1 = 200 sin (170) f2 = 100 sin (60) ??

    • one year ago
  25. katherinekc
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    okay the it would be ..

    • one year ago
  26. mathstudent55
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    You got the x-components above and you did it correctly. Now you need the y-components. f1y = 200 sin (60) f2y = 100 sin (170) Ry = f1y + f2y = 200 sin 60 + 100 sin 170

    • one year ago
  27. katherinekc
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    ok i got the 70 and 170 mixed around

    • one year ago
  28. mathstudent55
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    There is no 70.

    • one year ago
  29. katherinekc
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    i mean 60*

    • one year ago
  30. katherinekc
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    sorry!

    • one year ago
  31. mathstudent55
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    Remember the first force, F1, is 200 lb at 60 deg The x component is F1x = 200 cos 60 The y component is F1y = 200 sin 60 The second force, F2, is 100 lb at 170 deg The x component is F2x = 100 cos 170 The y component is F2y = 100 sin 170 The resultant's x-component is Rx = F1x + F2x = 200 cos 60 + 100 cos 170 The resultant's y-component is Ry = F1y + F2y = 200 sin 60 + 100 sin 170

    • one year ago
  32. mathstudent55
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    Now you need to do the actual calculations with a calculator of what Rx and Ry are, and round off to 2 decimal places.

    • one year ago
  33. katherinekc
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    so all i have to do is put the equation in the calculator for rx and ry and thatll give me the answers?

    • one year ago
  34. katherinekc
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    i need to complete the problem?

    • one year ago
  35. mathstudent55
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    For now, yes. That will give you the x- and y-components of the resultant.

    • one year ago
  36. katherinekc
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    okay .. and thats all i do then right

    • one year ago
  37. katherinekc
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    but i have to find the direction and magnitude?

    • one year ago
  38. katherinekc
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    ??

    • one year ago
  39. mathstudent55
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    Once you have the x- and y-components of the resultant, you need two more steps. 1. You need to find the magnitude of the resultant. 2. You need to find the direction of the resultant.

    • one year ago
  40. katherinekc
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    how do i do that?

    • one year ago
  41. mathstudent55
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    For the magnitude of the resultant, you use the Pythagoras theorem. For the direction of the resultant, you use the inverse tangent to get the angle. See figure below: |dw:1359304507660:dw|

    • one year ago
  42. mathstudent55
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    yes

    • one year ago
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