Pendulum with a spring attached

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SUMMARY

The discussion focuses on calculating the period of a pendulum with a spring attached, specifically a mass of 0.2 kg and a spring constant of 3 N/m. The relevant equation for the period T is T = 2π√(m/k), but participants highlight the complexity due to the mass not being concentrated at the tip of the spring. The challenge lies in modifying the derivation of the period of a physical pendulum to account for the spring's effect, as traditional methods do not apply directly. A reference to HyperPhysics is provided for further understanding of the derivation process.

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Homework Statement


Mass = 0.2 kg
Length of pendulum = 0.2 m
Force constant 3 n/m

Homework Equations



T = 2pi rad(m/k)
Sum of Torque

The Attempt at a Solution



I am really confused on where to start. I know you simply cannot plug it into the first equation listed above since all the mass isn't concentrated at the tip of the spring. I tried to find the distance the spring was compressed by attempting pythag, but that didn't work since I didn't have enough information. I attached the full question.
 

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