Help with finding Resultant vectors using trig? I kind of know what I'm doing but I want verification I'm doing it correctly.

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Help with finding Resultant vectors using trig? I kind of know what I'm doing but I want verification I'm doing it correctly.

Mathematics
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*whistles while waiting*
annnyyyy day now...
and im waiting and im waiting and im waitng...

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Other answers:

TYPE FASTER!!!! xD
\(F_1=6.7~N~@ ~54°~W~of~N\) \(F_2=9.2~N~@ ~26°~W~of~S\)
Jeese i go to help in math for the first time in a long time and people take forever to post the question! xD
sorry XD I had to look up the code for the degree sign
XD
I'm pretty sure I have to add \(90°\) to the first one because it's in the 3rd quadrant and you always start in the first for these problems (this is technically physics but it's still math lol)
you help them peachpi lel
*laughs away*
I know I have to separate it in components and I do that using trig.. so.. hang on.. this will take some time for me to type out lol. please be patient.
draw it :p quicker/easier
I can't.. my cursor goes BEHIND google chrome.. so I have to type it. /sigh
um, out of curiosity, is it a piticulair site orrr...
IT'S GOOGLE CHROME. ONLY GOOGLE CHROME DOES IT. ALL SITES.
sorry
LMAO
anyhoo.. let me do math cx
i still dont know what to tell you... *laughs !!half!! to !^death^!*
\(F_{1x}=6.7Cos(144)\\F_{1y}=6.7Sin(144)\\ F_{2x}=2.9Cos(244)\\F_{2y}=2.9Sin(244)\) I know I then have to add \(F_{1x}\) and \(F_{2x}\) and add \(F_{1y}\) and \(F_{2y}\).
is that correct so far?
  • phi
yes, that looks good
okay so when I added \(F_{1x}\) and \(F_{2x}\) I got -1.48... but I have a calculator on my phone and I don't know if it's in radians or degrees so I'm not sure that's right...
  • phi
up top you said F2 is 9.2 and in your calculations you are using 2.9 which is it ?
dang it.. it's 9.2.. I accidentally wrote 2.9 :/ okay let me redo them.
-9.45?
  • phi
yes, for the x value
okay now for y...
-4.33?
  • phi
yes
so then I take \(F=\sqrt{(-9.45)^2+(-4.33)^2}\) right?
  • phi
if you want the magnitude, yes
yes that is what we are looking for at this moment. I'll find the degree next using tangent.
I got 10.39. is that right?
and I got 8.01° for the angle measure.. but both x and y are negative.. so it needs to be in the 3rd quadrant and is currently in the first.. so I have to add 180, correct? to get 188.01°
wait.. that doesn't matter because they gave direction.. so instead I would just say 8.01° N of E, right?
I don't know. .this is where I get confused.
  • phi
you probably want to use 3 decimals in the calculation if you want 2 digit accuracy I get mag 10.4 (rounded 10.3979) No I did not get 8 degrees type into google atan(4.331/9.453) in degrees =
wait.. why did you use those numbers? I used -4.33 and -9.45..
  • phi
|dw:1443212499462:dw|
wait nevermind *facepalm*
  • phi
I used 3 digits (you can always round down later) I ignored the 2 minus signs because they cancel each other
I SEE WHAT I DID. I typed 1.33 and not 4.33 XD
24.62?
  • phi
yes, and that will be 24.6 degrees south of west or 65.4 degrees west of south
wait.. why is it south of west?..
  • phi
|dw:1443212895471:dw|
I thought what we calculated was 24.6° N of E... and we would have to figure out S of W.. but I don't know.
Is it because I added what I needed to in the beginning? so I don't have to at the end?
  • phi
you changed 54º W of N to 144º (measured as we do in math, counter clockwise from the positive x-axis). similarly you changed 26º W of S to 244º now add the vectors (head to tail) |dw:1443213168068:dw|
  • phi
you found the components of the dark vector <9, -4> it is pointing south of west. if we find the angle it makes with the (negative) x-axis we get 24.6º
ohhh okay. I think I understand a little bit better. My main issue is figuring out what direction/angle the resultant vector is going.
  • phi
using formulas (as you did) and drawing the vectors are very different ways of solving the problem. If you do it both ways, it is a good way to check your results. the picture gives you a rough idea of the answer and the formulas give the exact numbers.
Alright. The next one has 3 vectors.. I generally understand these they just take me a very long time to do them. :/
Do you mind if I open a new question and tag you?
  • phi
yes, a new post is better

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