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

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.

[bohensdaguilh]

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.

[lukesmith]

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.

[jpx]

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

[heidikeilback]

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

[charliewilson]

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.

[Fearless-mjyw]

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

[xhonzaimi]

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

[nhenkmah]

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

[Ranger]

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

[bluejay]

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

[antoniogalvan]

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