Babynini
  • Babynini
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.)
Mathematics
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SOLVED
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chestercat
  • chestercat
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Babynini
  • Babynini
I got 17sq3i-17j
Babynini
  • Babynini
but it doesn't want it
is3535
  • is3535
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.

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Babynini
  • Babynini
where did you get 32?
Babynini
  • Babynini
|dw:1433016210638:dw|
Babynini
  • Babynini
equation of force is F=fcos(theta)i+fsin(theta)j right?
DanJS
  • DanJS
That is the vector components yea, the i=<1,0> is the X direction, and the j=<0,1> is the y direction component
DanJS
  • DanJS
calculate each, Magnitude of F times cos(theta) for the x component, and magnitude of F times sin(theta) for the Y component
Babynini
  • Babynini
So then plugging numbers in we have: 34cos(30)i+34sin(30)j
Babynini
  • Babynini
simplifies to: 34(sq3/2)i+34(1/2)j
Babynini
  • Babynini
is that all correct?
DanJS
  • DanJS
\[F _{Tot}=F _{x}i+F _{y}j\]
DanJS
  • DanJS
yes, just calculate Fx and Fy, those are the legs of the triangle, the components of the force
Babynini
  • Babynini
um then the answer will be: \[17\sqrt{3}i+17j\]
Babynini
  • Babynini
Yeah? but they don't accept that answer
DanJS
  • DanJS
The vertical direction (UP) is said to be negative, so that component will be negative
Babynini
  • Babynini
oh sorry, right right. I wrote it wrong in here but wrote it correct into the answer box :P they don't like it
Babynini
  • Babynini
\[17\sqrt{3}i-17j\]
DanJS
  • DanJS
yeah, that is the Force written in component form. Not sure how you are supposed to enter the answer though
Babynini
  • Babynini
hrm..yeah because that should be right and the example is written that way too.
Babynini
  • Babynini
Previous questions in this homework have also rejected anything that has i or j in it, i'll just ask my prof monday :) thanks!!
DanJS
  • DanJS
yw

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