Does any software exist to solve the forces and displacements of spring, rope and pulley systems? Ideally including non-circular pulleys.
For example I might want to solve the forces in a compound bow, which has springs, pulleys and rope.
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Not as easily as point and click. The easiest way would be using a CAD software package with a simulation add-on like solidworks or autodesk inventor.
If you want to get really detailed, look into a simulation framework like modelica (foss) or Mathworks's simscape. You have to abstract the sistren with these but they are capable of very advanced simulations.