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Ron,
If your talking about the same pulley question I am thinking of, 3 pulleys on top and 2 on the bottom, the pulley diameter doesn't actually matter. The trick to it is that the tension in the rope is uniform and therefore must be equal to the force exerted by the hand in the drawing. The pulleys only change the direction of the tension force, not its magnitude. If you draw a horizontal line across the middle of the picture and "cut off" the top half of the system then 5 rope leads remain that support the weight. Because the tension is uniform throughout the rope, the total force applied to the weight is 5 times the force applied by the hand. The price paid for this mechanical advantage is that to lift the weight a given distance, the rope must be pulled 5 times that distance.
I always loved problems like that...
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