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Babynini

  • one year ago

A man pushes a lawn mower with a force of 34 lb exerted at an angle of 30° to the ground. Find the horizontal and vertical components of the force. (Assume that the horizontal direction is positive and the vertical direction is negative.)

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  1. Babynini
    • one year ago
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    I got 17sq3i-17j

  2. Babynini
    • one year ago
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    but it doesn't want it

  3. is3535
    • one year ago
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    Suggest you use geometry. You have a right triangle with the hypothenuse as your force of 32 lbs. The gravity/(vertical component) would be sin 30 degrees x 32. The horizontal component will be cos 30 degrees x 32. =( sqrt of 3) x 16.

  4. Babynini
    • one year ago
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    where did you get 32?

  5. Babynini
    • one year ago
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    |dw:1433016210638:dw|

  6. Babynini
    • one year ago
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    equation of force is F=fcos(theta)i+fsin(theta)j right?

  7. DanJS
    • one year ago
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    That is the vector components yea, the i=<1,0> is the X direction, and the j=<0,1> is the y direction component

  8. DanJS
    • one year ago
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    calculate each, Magnitude of F times cos(theta) for the x component, and magnitude of F times sin(theta) for the Y component

  9. Babynini
    • one year ago
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    So then plugging numbers in we have: 34cos(30)i+34sin(30)j

  10. Babynini
    • one year ago
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    simplifies to: 34(sq3/2)i+34(1/2)j

  11. Babynini
    • one year ago
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    is that all correct?

  12. DanJS
    • one year ago
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    \[F _{Tot}=F _{x}i+F _{y}j\]

  13. DanJS
    • one year ago
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    yes, just calculate Fx and Fy, those are the legs of the triangle, the components of the force

  14. Babynini
    • one year ago
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    um then the answer will be: \[17\sqrt{3}i+17j\]

  15. Babynini
    • one year ago
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    Yeah? but they don't accept that answer

  16. DanJS
    • one year ago
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    The vertical direction (UP) is said to be negative, so that component will be negative

  17. Babynini
    • one year ago
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    oh sorry, right right. I wrote it wrong in here but wrote it correct into the answer box :P they don't like it

  18. Babynini
    • one year ago
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    \[17\sqrt{3}i-17j\]

  19. DanJS
    • one year ago
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    yeah, that is the Force written in component form. Not sure how you are supposed to enter the answer though

  20. Babynini
    • one year ago
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    hrm..yeah because that should be right and the example is written that way too.

  21. Babynini
    • one year ago
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    Previous questions in this homework have also rejected anything that has i or j in it, i'll just ask my prof monday :) thanks!!

  22. DanJS
    • one year ago
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    yw

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