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How to mate a part so that it can be lifted by one part and otherwise rests upon another?

Question asked by James Veale on Oct 22, 2019
Latest reply on Oct 22, 2019 by Dave Laban

I think it's all in the title really? I've attached a hand-sketch of the type of problem I'm attempting to describe.

 

Could anyone educate me on which type of mate I need for this, if it's possible? I haven't had much luck with Google.

 

I've tried using the min and max properties of a distance mate, but while the limits work nicely this doesn't account for the 'downwards stickiness' of gravity.

 

Thanks

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