|Aug22-12, 09:40 AM||#35|
simple argument that a force applied farther from the rotation axis...
I think you can simplify this to a King Truss (top left), just ignore the overhang at the sides:
Apply 2F downwards in the middle, and F upwards to the 2 sides nodes. It is a static case. Now your question translates to: Why doesn't it start rotating around one of the sides nodes? How does the one F on the other side balance the 2F in the middle?
Aside from the trivial symmetry argument, you can work out the internal forces here.
|Aug22-12, 10:12 AM||#36|
From a teaching perspective, it might be worth it to construct a numerical simulation of a model along these lines (with tunable string constants) and allowing it to evolve in time. It shouldn't be all that difficult; certainly nothing compared to, say, a DFT calculation.
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