quick maths question (pulleys)

Soldato
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22 Sep 2005
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Hi guys,

just after some help on this, as my maths is not up to much, and I dont want to screw this up! I'm pretty certain the its going to make no difference....

okay so in the diagram below there are two different setups. The circles are pulley wheels of equal diameter and the weights are the same. I know they will collide in the diagram, but just ignore that for now.

The variable is the distance between wheels B and C (marked in orange) and the length of the string / cord.

What I want is to move a weight up 16cm (like in figure one) and the other weight to move down an equal 16cm. and vice versa (move one weight down, and the other moves up the same distance)

I've lready built a very very poor prototype, and the movement works, but I need to know: does the position of wheel B make any difference as to how the weights will move apart and away from eachother I can't see how it would, providing the cord was cut properly but I'd really need confirmation before I go ahead. I need them to move away equally.



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lastly, it's not important at all, as all the pulleys will be the same diameter, but would the diametre of any the the pulleys have an effect too?
 
The length of the cord / chain / rope is always a constant, so in both diagrams making the distance from one pulley shorter, means the other has to be longer.

the diameters of the pulleys in this make little difference to the length of cord from the pulley, but the amount of force / weight to balance would be different if different pulleys diameters were used.
 
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