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Physics

Wilberforce pendulum

A spring couples vertical motion to twist. Adjust inertia to match the uncoupled frequencies and observe energy exchange, damping and split normal modes.

Wilberforce pendulum — Actual application image
Actual application image

Try this

Tune the two frequencies, then watch energy trade between bounce and twist.

Equations used in the module
Equations
m z" = -k z - c θ - m γ z'
I θ" = -κ θ - c z - I γ θ'
E = (m z'² + I θ'² + k z² + κ θ²)/2 + c z θ

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