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A line with mass - a metal rod of mass $X$, with a scale at each end. As the rod is vertical the scale at the bottom will read the full mass, as the rod reclines to horizontal each scale will read $\frac{1}2 X$ (I suppose). Is there a formula to describe how the weight is distributed between the two end points as the rod traverses from vertical to horizontal?

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You can draw a free body diagram of the rod and calculate the force distribution yourself. Remember the sum of force components must be equal to zero within each body in static equilibrium. – ja72 Feb 19 at 16:24
Also look here – ja72 Feb 19 at 16:25
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Hi user21149, and welcome to Physics Stack Exchange! Right now you're just asking for a formula, which isn't exactly the kind of question we deal with here. If you were to edit the question to show what you tried to derive it and where you had trouble, it might be better received. See our homework policy for more information. – David Zaslavsky♦ Feb 19 at 18:57

closed as too localized by Ϛѓăʑɏ βµԂԃϔ, Martin Beckett, David Zaslavsky♦ Feb 19 at 18:55

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