It is - I'm just looking at each 5:1 system as a whole and not worried about each pulley. There is an input, output and some losses. The ratio accounts from all losses, regardless of from pulley design, rope, or other sources.
Total load is all 3 pulling on the load - the sum of the 3.
I...
This little 5:1 kit is sorta interesting as well...has progress capture prusik - around $100.
https://www.amazon.com/dp/B07C7F9XLF
Would be interesting to see how well it fares against the 'pro' stuff. Not sure I'd want to hang over a cliff on any of that hardware, but I use their slings for...
Friendly AI back again...
me>I want to run a new scenario. I this scenario, I want to analyze 3 5:1 systems. Each system will have a constant input load of 25kg applied to it. The output force of the entire system will compound the previous stage's output force as it's applied sequentially...
It's free to play around with once you create an account. Openai.org - look for chat-gpt. Might also be able to do it on Bing. Look for the chat tab, but it's limited in the number of questions you can ask. There was apparently a problem with it going insane if you asked it too many...
I built my 2 5:1's with GM Climbing Amazon pulleys ($35/ea)...I wasn't ready to take the plunge into the pricier stuff.
https://www.amazon.com/dp/B08HQVVMS3
They seem to work ok, but I doubt they are as efficient as any of those.
Ok - the AI is not getting some stuff right (obviously)...but after I issued some threats, I think I've got it beaten into submission. The output force column (on right) was not taking into account the 80% efficiency. Corrected:
Stage
Input Force (kg)
Output Force (kg)
Output Force (kN)
1...
Trying again...this looks much better, but I have questions...
Me> all these numbers are suspect. Can we start over?
AI> I apologize for any confusion. I'd be happy to start over and help you with your pulley system calculations. Could you please provide more details on the pulley system you...
Wait...
Me> how did you calculate an adjusted output force of 100,800 kN from 781,250kg at 80% efficiency?
AI>
I apologize for the mistake in my previous message. The adjusted output force for the sixth pulley system should be 981.25 kN, not 100,800.0 kN.
To calculate the adjusted output...
Me> assume 80% efficiency in the pulley systems and output the force for each system in kN in table format
AI>
Sure, I can help you with that. Based on the efficiency of 80%, we need to adjust the previously calculated output forces accordingly. Here's a table that shows the adjusted output...
Your friendly AI again...
Me> If I apply the 50kg load sequentially to the system, what would the output force be?
AI>
If you apply the 50kg load sequentially to the pulley system (i.e., one system at a time), the output force of the system would depend on which system you are applying the load...
ah - I see...so 46,000 kN should be close?...but practical realities, such as you'll pull your anchor trees down first or the pulleys and ropes will fail will come into play.
I can't quite wrap my brain around how you would actually apply 50kg to each input, to me it's cumulative - so applying 50 kg on the first will generate 50kg x 5 = 250kg on the second, etc...looking at it another way you would need to apply 1/5 less to each system to have 50kg on the final...
I asked my AI helper Chat GPT, and this is what it told me:
Me> I'm working with some pulley systems and I'm trying to calculate how 6 5:1 pulley systems would work if they were all connected. Each pulley system would be pulling on each other.
AI>
To calculate the mechanical advantage of a...