Speed difference in the pulleys in a block and tackle setup

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SUMMARY

The discussion centers on the design of a block and tackle system for a machine, specifically addressing the speed differences in pulleys. It is established that each pulley in the system does not necessarily require its own bearing; they can be mounted on a shared axle. Additionally, it is confirmed that the pulley closest to the fixed end of the system will rotate slower than the pulley that is actively giving up rope, due to the mechanics of the setup.

PREREQUISITES
  • Understanding of block and tackle mechanics
  • Knowledge of pulley systems and their configurations
  • Familiarity with bearing types and their applications
  • Basic principles of mechanical advantage in simple machines
NEXT STEPS
  • Research the impact of bearing types on pulley performance
  • Explore the mechanics of block and tackle systems in detail
  • Learn about the calculations for mechanical advantage in pulley systems
  • Investigate design considerations for shared axle configurations in pulleys
USEFUL FOR

Engineers, hobbyists, and anyone involved in mechanical design or systems optimization will benefit from this discussion, particularly those working with pulley systems and block and tackle setups.

Rhettoric
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I am designing a block and tackle system (because I can't think of anything more simple) to take up the slack in a loop of cordage for a machine I am tinkering on. The loop only travels in one direction due to a set of cam cleats.

I am trying to figure out if all the pulleys in a block need their own bearing or if I can fix them all on a shared axle. My mind is pretty fried at the moment and google isn't helping me out much so I figured I ask you guys :)
 
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actually, i just realized that the pulley nearest the "fixed" end should rotate slower than the side giving up the rope.

please correct me if I am wrong.
 

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