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| From "The Marlinspike Sailor" by Hervey Garret
Smith:1956 Also:
{Guide to simple ship
pulley systems}
How much power increase does the rig below give the
users?
10x, 12X, 13X, 15X, 16X, 17x, 18x, 20x , 24x etc.? (assuming Zer0
Friction Pulleys, straight lines)
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| This gets into what i call "2Handing"
the rig. Essentially that is what the zrig inset inside the 5/1
is doing. It is pulling as usual, except both ends pull on lines
that go to the load, instead of 1 end 'wasting' it's pull on an
anchor. Then, what if we pulled the Blue in 1 hand down and the
RedX up? What about BrownX up, while pulling Blue down?
What if a horizontal rig, where bodyweight could not be employed?
Some explanation of 2 handing is at :
Force Relationships
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Super Tighten this Line
How many X's Effort?
(Answer is farther below)
| Answer: 13x from pulling at Blue Input as people mostly do. Plus
another 5x of any input pull at red X!
If pulling with both arms equally (as equal and opposite reactions)
compressing in towards each other;
multiplier would be 18x pull of 1 hand (assuming no friction); or 13x
from 1 hand + 5x from other.
Note: if prusik grab/ yellow hint goes to anchor instead of tying back
to own line (like most folks rig it instead);
then yield is 10x pull at Blue + 5x Pull at Red X (if any); while the
other 3x pull, pulls on anchor and not load!
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| handing the rig by pulling up at BrownX as equal and
opposite of pulling down on blue gives a yield of 24x; for the ZRig
itself is taken from 3xpull at top, and 2 x pull at bottom; to 4x top
and 4x bottom. The 4x bottom feeds into the 5:1 multiplier in
series, so multiplies for 20x output. Then, that joins the 4x
top output in a pairallell connection; so these numbers add (20x + 4x)
for 24x 1 hand of pull. Now, that would be on a horizontal rig,
where bodyweight couldn't just hang on blue, then the lower hand would
have different pull on it from just handpull, but top pull/Blue would
have bodyweight used + an equal amount of the lowerhand's pull added
to top. For, the top would have to match the lower hand pull, in
excess of bodyweight used.
So that, pulling at blue and red in vertical rig would give
13xbodyweight used + 18x lowerhand/Redpull; but just 18x either hand
pull in horizontal rig. Pulling at Blue and Brown vertically
would give 13x bodyweight used + 24x lowerhand/Brown pull; but just
24x in horizontal set rig, where bodyweight isn't used to make
upper/Blue pull larger than the lower pull input. |
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