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Tuesday, August 7, 2012

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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