Quartic function of a non-ideal spring

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

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The discussion centers on finding the roots of a quartic function related to the behavior of a non-ideal spring. The roots represent the turning points, which are critical for understanding the spring's motion. Participants emphasize the complexity of quartic equations and suggest various methods for solving them, including numerical approaches and graphing techniques. The importance of accurately determining these roots is highlighted, as they influence the spring's performance characteristics. Effective solutions to this problem are essential for applications in physics and engineering.

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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