Solve Double Pendulum Beat Period Calculation

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SUMMARY

The discussion focuses on calculating the beat period of a double pendulum system consisting of two pendulums connected by a light rod. The setup includes two light inextensible strings, each 1 meter long, with a connection point 0.1 meters from the top. The motion of the pendulums is described by simple harmonic motion (SHM) with the equation a = -ω²x. Participants emphasize the importance of visualizing the system to solve the problem effectively.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with the double pendulum dynamics
  • Knowledge of basic physics equations related to pendulum motion
  • Ability to visualize mechanical systems in two dimensions
NEXT STEPS
  • Study the mathematical derivation of the beat period for coupled pendulums
  • Learn about the dynamics of double pendulums and their stability
  • Explore simulation tools for visualizing double pendulum motion
  • Investigate the effects of damping on pendulum systems
USEFUL FOR

Students preparing for physics exams, educators teaching mechanics, and anyone interested in the dynamics of pendulum systems.

captainjack2000
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Double Pendulum URGENT!

Homework Statement


I am trying to solve this past paper question for my exam tomorrow:
A double pendulum is constructed using a light rod and light inextensible strings.
Two string pendulums hanging from ceiling 1m long. 0.1m from top they are connected by a light rod.
One mass is knocked to the right. Find the beat period in the subsequent motion.


Homework Equations


I know that they will both undergo shm
a=-w^2x but I have no idea where to go from here!
 
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I don't think I'm allowed to help you with a take-home exam. You better hope your professor doesn't hang out of PF.

EDIT: One day, I'm going to start reading the first post carefully before replying. Today is not that day!

I can't visualise the problem. Is it like this?

...|......
...|......
...______|_______...
...|......|....
...|......|....
...O.....O....

with the rod on top and the pendulums on the side? So the rod is hanging from the ceiling?
 
Last edited:

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