(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A mass m oscillating on a spring has a period T. Suppose the mass changes very slightly from m to m+Δm, where Δm << m. Find an expression for ΔT, the small change in the period. Your expression should involve T, m, and Δm, but NOT the spring constant (k).

2. Relevant equations

[tex]T=\frac{2\pi }{\omega}=2\pi \sqrt{\frac{m}{k}}\\

\omega=\sqrt{\frac{k}{m}}[/tex]

3. The attempt at a solution

[tex]T+ΔT=2\pi \sqrt{\frac{m+Δm}{k}}[/tex]

Would that be the right way to start off? I can't figure out how to get rid of the k there. I don't see how conservation of energy can help, especially considering that conservation of energy is how those equations were derived in the first place...

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# Homework Help: Change in period due to a change in mass

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