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I made a diagram that may help:There's nothing wrong with the diagram, but the direction of the force
http://www.monmouth.com/~jsd/physics/pool.gif
You can calculate the horizontal component of the force. You can calculate
the torque. Plug in and turn the crank.
I have been unable to identify a clearly-wrong assumption. I suspect thereThen it's not really necessary to discuss my description of the
are some unstated assumptions floating around.
How sure are we that the system in question is actually optimal?I discussed (www.lightandmatter.com/pool/pool.pdf) the relationship
I renew my recommendation that we speak ofMaybe I'm misunderstanding you, but the only difference I can
-- sliding friction,
-- rolling friction, and
-- static friction (for strictly static objects only).