1. The problem statement, all variables and given/known data A 60kg object placed 1m from B is drawn across a beam laid down across two support points. Support point A can only withstand 600N of force before giving way. Support point B is assumed to be capable of withstanding any amount of force. The beam is 6m in length and weighs 20kg. How far can the object be moved across before support point A collapses? 2. Relevant equations 3. The attempt at a solution So I think this is a statics question, at least, this is the context within the course material that poses the question. So, first I drew a diagram as follows: Then did this: So I can solve the forces for when the object is at 1m just fine - I think at least. But that is not what the question is asking. How do I get varying distances with this without resorting to doing manual calculations one at a time for each varying distance? Is there an alternative way? Using algebra I can break down the equation and rewrite as this: But this goes no where as F_B is still an unsolved value so rewriting is meaningless. F_B's final value is linked directly to the d_P is at and so intuitively, I cannot think of a way that either can be isolated as they are coupled. Actually... am I approaching this question the wrong way entirely? Thanks for any help.