Bifilar Pendulum w/ off-centred CM, need verification for derived eq.

Thread starter ChessGM
Start date Dec 31, 2024
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Center Centroid Pendulum

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SUMMARY

The discussion focuses on the dynamics of a bifilar pendulum with an off-centered center of mass (CM). The participants analyze the mass distribution, where the rod has a mass denoted as M and the external cylinder as m. The conversation emphasizes the need for mathematical verification of the derived equations related to the pendulum's motion. Participants also offer guidance on using LaTeX for posting mathematical expressions effectively.

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Understanding of bifilar pendulum mechanics
Familiarity with center of mass calculations
Proficiency in LaTeX for mathematical notation
Basic principles of rotational dynamics

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Research the equations of motion for bifilar pendulums
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Dec 31, 2024

ChessGM

Homework Statement: For an essay I'm looking at the MOI about the central diameter of a composite object (2 flush concentric cylinders, the external cylinder is shorter lengthwise and can slide along the longer one) with a centre of mass that is not on the central diameter. This is done through the external cylinder, and placing it some distance from the centre, and timing its period in a bifilar pendulum.

I have an equation but I'm not sure if its correct, if anyone could take the time to come up with it and cross-reference it that would be appreciated.