Question

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

Answer 1

*whistles while waiting*

Answer 2

annnyyyy day now...

Answer 3

and im waiting and im waiting and im waitng...

Answer 4

TYPE FASTER!!!! xD

Answer 5

\(F_1=6.7~N~@ ~54°~W~of~N\)
\(F_2=9.2~N~@ ~26°~W~of~S\)

Answer 6

Jeese i go to help in math for the first time in a long time and people take forever to post the question! xD

Answer 7

sorry XD I had to look up the code for the degree sign

Answer 8

XD

Answer 9

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)

Answer 10

you help them peachpi lel

Answer 11

*laughs away*

Answer 12

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.

Answer 13

draw it :p

quicker/easier

Answer 14

I can't.. my cursor goes BEHIND google chrome.. so I have to type it. /sigh

Answer 15

um, out of curiosity, is it a piticulair site orrr...

Answer 16

IT'S GOOGLE CHROME. ONLY GOOGLE CHROME DOES IT. ALL SITES.

Answer 17

sorry

Answer 18

LMAO

Answer 19

anyhoo.. let me do math cx

Answer 20

i still dont know what to tell you... *laughs !!half!! to !^death^!*

Answer 21

\(F_{1x}=6.7Cos(144)\\F_{1y}=6.7Sin(144)\\
F_{2x}=2.9Cos(244)\\F_{2y}=2.9Sin(244)\)

I know I then have to add \(F_{1x}\) and \(F_{2x}\) and add \(F_{1y}\) and \(F_{2y}\).

Answer 22

@IrishBoy123

Answer 23

is that correct so far?

Answer 24

@phi

Answer 25

yes, that looks good

Answer 26

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...

Answer 27

up top you said F2 is 9.2
and in your calculations you are using 2.9
which is it ?

Answer 28

dang it.. it's 9.2.. I accidentally wrote 2.9 :/ okay let me redo them.

Answer 29

-9.45?

Answer 30

yes, for the x value

Answer 31

okay now for y...

Answer 32

-4.33?

Answer 33

yes

Answer 34

so then I take \(F=\sqrt{(-9.45)^2+(-4.33)^2}\) right?

Answer 35

if you want the magnitude, yes

Answer 36

yes that is what we are looking for at this moment. I'll find the degree next using tangent.

Answer 37

I got 10.39. is that right?

Answer 38

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°

Answer 39

wait.. that doesn't matter because they gave direction.. so instead I would just say 8.01° N of E, right?

Answer 40

I don't know. .this is where I get confused.

Answer 41

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 =

Answer 42

wait.. why did you use those numbers? I used -4.33 and -9.45..