Infinite coupled pendulums

  • #1

Homework Statement


Consider a very large (infinite) number of identical pendulums arranged in a row, with each pair separated by a distance d. Each pendulum is a massless rod of length l with a mass m at its end. Identical springs with spring constant k couple each pair of neighbors. What is the Max frequency and min frequency along with their normal modes?

Homework Equations




The Attempt at a Solution


I know the min frequency will be √(l/g) with all the pendulums in sync. I plugged in values for an increasing number of pendulums and noticed that the max frequency is increasing. So I'm assuming that the max will go to infinity as the number of pendulums approaches infinity.
 

Answers and Replies

  • #2
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