Find F_3 given just the direction of the resultant force

If the direction of the resultant force acting on the
eyebolt is defined by the unit vector uFR = cos 30j +sin 30k,
determine the coordinate direction angles of F3 and the
magnitude of FR. Get the book: amzn.to/2h3hcFq

[@GenDrag1]

the worst part about this is that most engineers would just say "oh the eyebolt and the ropes can handle more than enough force to ever need to account for" and none of this would be needed
this problem literally had me up for hours bro
wtf

[@GenDrag1]

*******at **14:03**, the actual value is 367851.309 for cos139.2^2 * 800^2*******
issue: you plugged in cos 139^2, not cos139.2^2 . even little number make big difference for cosine my fren
resultant force is actually 137.402 lb or 1246.068 lb as a result, double check your work homies

[@terrific-bears]

I dont think so. Im getting the same resultant force as he did

[@arisnow1855]

At 14:45 when you mention how to get to the next step, "doing these two squares, adding all of them together and using the quadratic formula", can you show those steps?

[@iansmith5343]

(-B +- Sqt(B^2 - 4AC)) / 2A
A = 1 , B = -1798 , C = 543035 , note( Don't forget to subtract the 640000 on the other side of the equal sign before using the quadratic equation.)
The quadratic will give you the two values for Fr. Writing it all out is a LOT of simple arithmetic. You can handle it and it is good practice.
If you are allowed to use a TI-84 or better you can enter the quadratic (ax^2 + bx + c = 0)into the solver feature and solve for those values.

[@238xblaze]

For the part (.866Fr - 830)/800, where did the 830 come from? Same goes for the -360

[@jameswilliams2481]

Add j values 480 + 350 to get -830. -360 is the final k value for F2.

[@kayas-b8k]

Thank you so much!

[@AlexanderSimon-pq9kw]

Godsend of a video thank you

[@deathraven2757]

thank you so much for this

[@wesleygiven8825]

do you have venmo?

[@SuperMultimitch]

fr fr

[@AppleBS11]

Thanks for the video, but the volume is way too low

[@aliabdulhassan4971]

Angles of F3??