Determine the force in each cable and the greatest F can be

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Determine the force in each cable if F = 500 lb.
Determine the greatest force F that can be applied
to the ring if each cable can support a maximum force
of 800 lb.

[@bohensdaguilh9222]

For anyone who is watching 6/2024 and after. There is a typo for his det y it is supposed to be -.102 and the y value after doing your division is supposed to be .226. [y=(det y)/det]. I've checked Chegg and the back of my book; his answer is correct. I can only assume that the matrices are done correctly and that there are no issues with the negatives. His answer is 1556 and the answer is 1558 but that's a rounding error.

[@lukesmith2400]

To go about the matrices step with a graphing calculator (I use TI-84 Plus), create a 3X4 matrix (2ND>x¯¹) with the last column being 0; 0; 1. Then use the operation rref( with the corresponding matrix letter to get your final answers.

[@bluejay3125]

I HIGHLY recommend doing this for this problem, makes it so much faster, watch this guy walk you through the steps, czcams.com/video/zhypLK9nK80/video.html Key thing here is the first row is whatever you put into the first column, 2nd row is whatever you put into the 2nd column and so on. I hope this helps

[@heidikeilback2671]

Thank you so much for these videos. I appreciate your explanations SO much!

[@jp23x]

you probably should have just gone over how to do this on a calc, this is a ton of work.

[@antoniogalvan58]

Thank you sooooooo much you are a life saver, do you have a channel for thermo-fluid sciences??

[@chompchess7685]

Thank you Dax

[@Fearless-mj2yw]

There is an error in (y), you are not dividing by main determinant. Real result for y is = -.502 F

[@xhonzaimi8618]

did you forget the negatives when you did the first matrix for .857 .885 .857

[@charliewilson3234]

In the last determinant for det Y did you forget to add the negatives to the bottom numbers like you did in the other two? Also the calculations for the last Y is wrong. -.265/.451 I think.

[@Ranger1911]

u can use the ti-84 for the matrices part really simple save about 6 min of work

[@FinalAnswer]

yeah is just that some of us weren't allowed to use programmable calculators :(

[@Matt_Legler]

How? I didn't think the 84 could output an undefined variable. What are you using as a placeholder for F?

[@avoidmysnipes7541]

How did you do it?

[@nhenkmah]

why did the Det y came out as .226 F? i cant seem to find .226 F with my own calculation

[@mauriciocorona4201]

Did you use cramer's rule?

[@bluejay3125]

Dety is wrong please go through the steps on how you found that

[@prncssbubblegum8421]

det y is wrong should be -0.501

[@eezzeelleezzeell9504]

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