Final 3 - Reducing the Period

Given:

• $\mbox{Mass m attached to a spring with spring constant K.} $

Question:

• $\mbox{What size mass should you attach to the spring to double the period of oscillation?} $

Rationale:

• $ T_{period} = 2 \pi \sqrt{\dfrac{m}{k}}$
• $ 2 T_{period} = 2 \pi 2 \sqrt{\dfrac{m}{k}}$
• $ 2 T_{period} = 2 \pi \sqrt{\dfrac{4 m}{k}}$

Calculate:

• $ \mbox{Answer is it takes 4m to double the period.} $

References:

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