Quartic function of a non-ideal spring

Thread starter Semiclassical
Start date Dec 11, 2021
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Function Polynomial Spring Spring energy

Dec 11, 2021

Semiclassical

Homework Statement: Solve for y: $$\frac{\lambda}{4} y^4+\frac{k}{2} y^2+mgy-E=0$$

Relevant Equations: I do not know of any relevant equations

I'm stuck in a part of my problem where I need to find the roots of this function which represent turning points for a non-ideal spring.

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Dec 12, 2021

haruspex

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https://en.m.wikipedia.org/wiki/Quartic_equation

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