anonymous
  • anonymous
Calc Question: Force 1 = 70 lbs Force 2 = 100 lbs Resultant = 80 lbs What is the angle between the forces given the resultant force is the magnitude.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
dot product 80 = 70*100*cos(theta) cos(theta) = 8/700 theta is around 89.35 degrees
anonymous
  • anonymous
I have seen similar problems worked this way, but the book yields the answer as 53 degrees. Any thoughts?
anonymous
  • anonymous
70^2 + 100^2 + 2(70)(100)cos(theta) = 80^2 14000cos(theta) = -8500 cos(theta) = -17/28 theta = 127.383 adjust for negative 53

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anonymous
  • anonymous
^-- law of cosine
anonymous
  • anonymous
sorry for mistake :x
anonymous
  • anonymous
Excuse my unintelligent moment...but may I inquire on how you got the -8500.
anonymous
  • anonymous
80^2 - 70^2 - 100^2 = -8500 i moved all numbers to right side
anonymous
  • anonymous
AH! Alright. Thanks for the help *Medal Given*
anonymous
  • anonymous
lol thanks and no problem

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