Zale101
  • Zale101
Find the magnitude of the resultant force and the angle that makes with the positive x-axis
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Zale101
  • Zale101
|dw:1440990161648:dw|
Zale101
  • Zale101
\(F1=75 N; θ=0\) \(F2=50 N; θ=30\) \(F3=40 N; θ=150\) F1= \(f_1x=75cos(0)=75 N\) \(f_1y=75sin(0)=0 N\) F2= \(f_2x=50cos(30)=25\sqrt{3} N\) \(f_2y=50sin(30)=25 N\) F3= \(f_3x=40cos(150)=−20\sqrt{2}N\) \(f_3y=40sin(150)=20 N\)
Zale101
  • Zale101
Is this good so far?

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More answers

jim_thompson5910
  • jim_thompson5910
I don't agree with f3x
jim_thompson5910
  • jim_thompson5910
everything else looks good
ganeshie8
  • ganeshie8
Looks good! next simply add them component by component
ganeshie8
  • ganeshie8
Ahh I didn't check the arithmetic..
ganeshie8
  • ganeshie8
this should fix it : \(F1=75 N; θ=0\) \(F2=50 N; θ=30\) \(F3=40 N; θ=150\) F1= \(f_1x=75cos(0)=75 N\) \(f_1y=75sin(0)=0 N\) F2= \(f_2x=50cos(30)=25\sqrt{3} N\) \(f_2y=50sin(30)=25 N\) F3= \(f_3x=40cos(150)=−20\sqrt{\color{red}{3}}N\) \(f_3y=40sin(150)=20 N\)
jim_thompson5910
  • jim_thompson5910
much better
Zale101
  • Zale101
Okay. Thanks! @jim_thompson5910 and @ganeshie8 !!! I'll deal with the arithmetic, it's not the problem for me now. But the next step is what i'm having problems with.
jim_thompson5910
  • jim_thompson5910
you have the vector components, add up the corresponding components
jim_thompson5910
  • jim_thompson5910
u = v = w = u+v+w =
ganeshie8
  • ganeshie8
|dw:1440991132300:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1440991352564:dw|
Zale101
  • Zale101
Okay, thanks. makes sense !
jim_thompson5910
  • jim_thompson5910
you'll end up with some vector z = p = sum of the Fx q = sum of the Fy magnitude of z = |z| = sqrt(p^2 + q^2)
Zale101
  • Zale101
what about theta?
jim_thompson5910
  • jim_thompson5910
theta = arctan(q/p)
Zale101
  • Zale101
Oh yes. I forgot about that xD
jim_thompson5910
  • jim_thompson5910
theta = arctan(q/p) if theta is in Q1 or Q4 theta = arctan(q/p)+180 if theta is in Q2 or Q3
jim_thompson5910
  • jim_thompson5910
to figure out which quadrant theta is in, simply look at the vector
Zale101
  • Zale101
Absolutely. Alright thanks for all the help.
jim_thompson5910
  • jim_thompson5910
sure thing

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