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https://texercises.com/exercise/mass-on-a-spring/
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Exercise:
abcliste abc A spring has an elastic constant kO. What mass has to be susped from this spring for an oscillation period of TO? abc A mass mbO on a spring oscillates with fbO. Calculate the elastic constant of the spring. abcliste

Solution:
abcliste abc The period is T pisqrtfracmk Solving for the mass leads to m mF fracktimesT^pi^ m approx resultmP abc The frequency is given by f fracTfracpisqrtfrackm Solving for the elastic constant leads to k kbF pi^timesmbtimesfb^ kb approx resultkbP abcliste
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Exercise:
abcliste abc A spring has an elastic constant kO. What mass has to be susped from this spring for an oscillation period of TO? abc A mass mbO on a spring oscillates with fbO. Calculate the elastic constant of the spring. abcliste

Solution:
abcliste abc The period is T pisqrtfracmk Solving for the mass leads to m mF fracktimesT^pi^ m approx resultmP abc The frequency is given by f fracTfracpisqrtfrackm Solving for the elastic constant leads to k kbF pi^timesmbtimesfb^ kb approx resultkbP abcliste
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Harmonic Oscillations
Tags
frequency, mass on spring, period
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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