owlet
  • owlet
My answer is wrong. Can anyone check my solution? I got approx, 490 N but the correct answer is 550N. Why is that? I'll attached both the question and my solution.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
owlet
  • owlet
owlet
  • owlet
@chris00 physics?
anonymous
  • anonymous
is the answer highlighted in yellow?

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owlet
  • owlet
yeah
anonymous
  • anonymous
okay lets do this
anonymous
  • anonymous
lets get forces in terms of their x and y components
owlet
  • owlet
F1 first... F1x= 850(4/5)=680 F1y= 850(3/5)=510 right?
anonymous
  • anonymous
yep or we can write it as\[F _{1}=\left[ 680i-510j \right] {\space}kN\]
anonymous
  • anonymous
now lets do F(2)
owlet
  • owlet
oh okay.. next f2: F2x= 625sin(30)=312.5N F2y=625cos(30)=541.3N oh i think this is the part i got wrong
anonymous
  • anonymous
\[F _{2}=\left[ (-625\sin30)i-(624\cos30)j \right] kN\]
anonymous
  • anonymous
remember unit circle
anonymous
  • anonymous
|dw:1444531507696:dw|
anonymous
  • anonymous
so in the third quadrant, only tan is positive, hence since and cos are negative
anonymous
  • anonymous
\[F _{2}=\left[ -312.5i-541.3j \right]{\space} \]
anonymous
  • anonymous
now do F3
owlet
  • owlet
okay.. F3: F3x=750 sin(45)=530.33 N (-x direction) F3y=750cos(45)=530.33 N (+y direction) so if i'll put it like your way it would be like (-530.33i, 530.33j) ?
anonymous
  • anonymous
yep!
anonymous
  • anonymous
so lets write out full equations out
anonymous
  • anonymous
\[F _{1}=\left[ 880i-510j \right]{\space} kN\] \[F _{2}=\left[ -312.5i-541.3j \right]{\space} kN\] \[F _{3}=\left[ -530.3i+530.3j \right]{\space} kN\]
anonymous
  • anonymous
Now, \[F _{R}=\sum_{}^{}F _{i}+\sum_{}^{}F _{j}\]
owlet
  • owlet
add all the x and all the y components Fnet= (-162.8i, 520.6j)
owlet
  • owlet
then get the magnitude of Fnet: sqrt( (162.8)^2 + (520.6)^2)=545.5 N or 550 N :D thanks!
anonymous
  • anonymous
\[F _{R}=(680-312.5-530.3)i+(-510-541.3+530.3)j\] \[F _{R}=-162.8i+520.6j\]
anonymous
  • anonymous
yep, spot on!
anonymous
  • anonymous
haha why did you choose me to do this question? haha
owlet
  • owlet
oops sorry late response. I choose you because you're the only one online that I fanned and you're nice so yeah xD thanks again!

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