Converting a 3:1 to a 5:1 Mechanical Advantage

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How to convert a 3:1 into a 5:1 by unclipping the traveling pulley, bringing it back to the progress capture pulley and clipping the two bights created into a double sheave pulley as the new traveling pulley.
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Thank you for a great explanation. I’m a rock climber interested in rope access and glacier travel. The 3:1 “just not cutting it” is something I worry about already

nathanwilson
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A comment for the algorithm.

Ciao bella

JRT-zuoh