Weights hanging on a cable

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Two weights are hanging on a cable.
The cable is not stretchable and it's own weight is neglectable.
This Delphi program calculates the position of the weights and the forces exercised.

Below is a (reduced) picture of the program at work:

The show data button displays following (see right bottom of picture above):

Note: the positive y direction is down.

Mouseclicks on the + and - buttons change the weights or line lengths.
The weight positions are recalculated.

Click to see theory and program description