1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution I find myself with 2 unknowns, 1 equation.
You're on the right track. :) You have 1 equation for point A. Can you make another equation for point B?
I'm afraid that in the 2nd line you lost ##F_H##. And btw, you're using 15000 [lb] for ##w_0##, but ##w_0## is given to be 600 [lb/ft].
You mean purely because of math? I see what you mean, since I don't know the length in each sectioning I can't use it like that. I'll jus use 600, with the units lb/ft. Yes?
I got it. My friend helped me with the math (the one who's registered as "niece of MD") :) We use X2 since the length can't be more than 25. Therefor we use FH2 as well.. But my big problem is relating the distance, w0 and FH, to A and B. I end up with this diagram...
Aha! So she does still do something every now and then! :) If you're interested, I have a shorter version: ##20 x^2 = 30 (25 - x)^2## ##2 x^2 = 3 (25 - x)^2## Since x and (25 - x) are both positive distances, we can take the square root and keep the positive versions: ##x \sqrt 2 = (25 - x) \sqrt 3## ##x \sqrt 2 = 25 \sqrt 3 - x \sqrt 3## ##x (\sqrt 2 + \sqrt 3) = 25 \sqrt 3## ##x = \frac {25 \sqrt 3} {\sqrt 2 + \sqrt 3} \approx 13.76## Looks good. But consider that the tensional force is not pointing down, but along the rope. Since they ask for the tension in the rope in A and in B, you need that ##F_V = {dy \over dx} \cdot F_H##
I think I got it, but I don't know what to make out of Fv as far as each of the reaction forces at A and B.
You have the result Fv for point B here. Good. Oh, but the unit is lb, and not l/ft. On support B you have the horizontal force Fh and this vertical force Fv. So what's the total force?
Don't you need to add those vectorially? (or did I miss something as I skimmed down through the solution?) BTW, how did your gripper project turn out?
Ya know wee go n bada bing, bada boom n we ah atta thereah....day won't know that OldEngr63 hit um! (You're not supposed to simply add up forces that are perpendicular to each other. ;)
Ohhhhhhh Ok gotcha, now it makes perfect sense :) I need to find the resultant vector for each! *smacks forehead* So (CALCULATION ATTACHED) Rb = 9086 lb Ra = 7735 lb BADABING BADABOOM I said! :) Very, very, SLOWwwww... because of the teacher, not us. We're on our passover holiday right now. And I did eventually use a gripper's PDF guide to get ideas, and basically our main idea is a double-threaded spindle. But, right now, we're still awaiting orders and formulas.