If I have 2 pendulums suspended a distance "x" from each other on a piece of string and set one in motion with a direction perpendicular to the string the 2 pendulums are suspended from (its difficult to describe) then energy will be transferred between the 2 in the same way as the more classical setup of 2 pendulums coupled by a spring. My question is, can I use the same equations of motion for my modified setup, or would I have to work out the equations by using the Lagrange equations/by using Hooke's law from scratch?
2007-10-29 08:32:46 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Physics
If you ignore the out-of-plane stuff or assume both pendula are somehow constrained to their respective planes, you still have the nonlinear coupling as opposed to the linear spring coupling. That plus the fact that the hang points move horizontally and vertically in addition to the pendulum bobs suggests a lot more complexity to the equations of motion, so a fresh start seems desirable.
2007-10-29 09:23:52 · answer #1 · answered by kirchwey 7 · 0⤊ 0⤋
you probably need equations for centripetal force and motion. Have you done them yet. i cnt find ma a-level book so look them up on the net, theres one like f=ax or something and one for sine and one with cos depending on pendulums starting position, (equlibrium, not equilibrium)
2007-10-29 15:42:51 · answer #2 · answered by Anonymous · 0⤊ 0⤋