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: