# A spring is hung vertically. It is loaded with 50 g mass and allowed to oscillate. Calculate the frequency of oscillation when the spring is loaded with 150 g which exceeds 100m?

Donna Flynn 2022-07-18 Answered
A spring is hung vertically. It is loaded with 50 g mass and allowed to oscillate. Calculate the frequency of oscillation when the spring is loaded with 150 g which exceeds 100m?
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## Answers (1)

Kyan Hamilton
Answered 2022-07-19 Author has 12 answers
$T=2\pi \left(\frac{m}{k}{\right)}^{\frac{1}{2}}$ for a spring-mass system
So $T\left(150g\right)={3}^{\frac{1}{2}}T\left(50\right)$
Since f = 1 / T then
$f\left(150g\right)=f\left(50g\right)/{3}^{\frac{1}{2}}$
The 50 g Frequency will be ${3}^{\frac{1}{2}}$ times the 150 g Frequency

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