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TipTop314
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I just recently worked through the lagrangian method for describing the motion of a double pendulum. What I want to do now is describe the motion of a double pendulum that has been instantaneously released from the origin and allowed to fly through the air (with the 2 pendulums still connected to each other). I was hoping to get some direction on how to set-up this problem. A couple questions come to mind when I think about how to get started:
Where would I set the origin? In the case of the original double pendulum, the origin was set at axis of rotation of the first pendulum. Should I keep using that as my origin? Or maybe use the double pendulum's center of mass?
For the original double pendulum problem, only the linear kinetic energy is considered. In the case of a free flying double pendulum, would you consider rotational kinetic energy as well? Would I be considering the rotational energy about the individual pendulums center of mass or the rotational energy of the pendulums about the systems center of mass?
If my understanding of how to approach this problem is so far off the mark that answering these questions doesn't actually help find the solution, please let me know. And hopefully provide a little insight on where to begin.
Thanks,
TipTop
Where would I set the origin? In the case of the original double pendulum, the origin was set at axis of rotation of the first pendulum. Should I keep using that as my origin? Or maybe use the double pendulum's center of mass?
For the original double pendulum problem, only the linear kinetic energy is considered. In the case of a free flying double pendulum, would you consider rotational kinetic energy as well? Would I be considering the rotational energy about the individual pendulums center of mass or the rotational energy of the pendulums about the systems center of mass?
If my understanding of how to approach this problem is so far off the mark that answering these questions doesn't actually help find the solution, please let me know. And hopefully provide a little insight on where to begin.
Thanks,
TipTop