Coupled Pendulums - Sixty Symbols
Why Physics Stack Exchange recommends it
Physics Stack Exchange answerers and askers point to it as a clear visual example of energy transfer between coupled oscillators.
Recommended by 1 people across 1 different months, 2013 to 2019.
What it is
A very short Sixty Symbols demonstration in which Professor Roger Bowley shows coupled pendulums, using creme eggs as the bobs, as part of a small Easter series. The pendulums swap energy back and forth as one stops and the other swings at full amplitude.
What people said
Recommends Farcher · 2019-05 · Physics Stack Exchange · on “Oscillation of 2 identical pendulums connected by a rubber band”
This is a good question. Here is a video, Coupled Pendulums - Sixty Symbols [this video] , which clearly shown the effect described in the question. What you are asking for is that after a time the two pendulums oscillate with a constant amplitude. There are only two ways in which this arrangement of pendulums can oscillate can have each pendulum oscillate with the same constant amplitude and these are called the normal modes. One way is to have both pendulum bobs oscillate in phase with one another ie when one bob is moving into the screen the other bob is also moving into the screen. The other way is to have both pendulum bobs oscillate in antiphase with one another ie when one bob is moving in
Cites udiboy1209 · 2013-07 · Physics Stack Exchange · on “Energy transfer in a coupled pendulum”
If you take a look at this video [this video] you will see what kind of a coupled pendulum I'm talking about. So I made a similar one in my high school's physics lab, using light metal bobs(much lighter than the Easter eggs he's used in the video) and thin copper wire. Some Data About My Experiment: My pendulum did work the same way, i.e. one would stop as the other would swing with max amplitude, which continues periodically without much damping. But the frequency of the combined periodic motion in my case was much slower than that in the video. His pendulum stops after a few oscillations while mine took 10-15 oscillations to completely transfer the energy(I think this is because I used a lighte
Cites Michael Seifert · 2015-05 · Physics Stack Exchange · on “Finding the frequency of vibration of part of a system”
In very general terms, we can analyze this problem via a sort of normal mode analysis. We're going to gloss over a whole mess of details here, such as the precise vibrational modes in which the spheres are oscillating and how efficiently these vibrations are transmitted to & from the surrounding medium. Rather, we can assume that the potential energy of the entire system can be split up into a kinetic and potential term; that the potential term is quadratic in the amplitudes of the oscillations (call them $A_0$ through $A_3$); and the kinetic term is quadratic in the "velocities" of these amplitudes ($\dot{A}_0$ through $\dot{A}_3$.) In other words, the Lagrangian of the system will be somet