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Simple things sometimes just aren't

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Hello,

 

This is a problem I have managed to avoid or work around for years and annoyingly I have failed to retire before it came back again demanding a solution.

 

I think it has been mentioned before but I couldn't find the reference.

 

Does anyone have a sensible method (with compromises)?

 

The first image is of a pulley and cables. text book stuff.

 

Assume frictionless pulley, light inextensible cables. Gravity acts vertically down.

 

Frictionless means that the tension in the cables are equal.

 

Now we point gravity in a direction other than down.

 

Frictionless and 'light' means that cable tensions are the same.

 

Inextensible means that the length of cable between supports (via the pulley) does not change.

 

The tangent points on the pulley change.

 

There is nothing I have put here that this forum would have difficulty with.

 

In the model I have, the supports are part of a flexible structure and will change their positions according to the gravity vector.

 

How to model a general case?

 

Nearly Easter

 

Thanks


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