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https://texercises.com/exercise/speed-bump/
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Exercise:
The wheels of a car with mass mO are susped by springs with total elastic constant kO. When the car drives across a speed bump the springs are compressed by AO. Calculate the initial total energy and the maximum vertical velocity of the resulting oscillation.

Solution:
The oscillation energy is sscEtot EF fractimesktimesA^ E approx resultEP The maximum velocity is given by sscvmax omega A vmaxbF sqrtfrackmtimesA vmaxb approx resultvmaxbP Alternatively we can use conservation of energy to find the maximum velocity: sscEtot frac k A^ fracm sscvmax^ we find for the maximum velocity sscvmax vmaxF which is the same expression as above.
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Exercise:
The wheels of a car with mass mO are susped by springs with total elastic constant kO. When the car drives across a speed bump the springs are compressed by AO. Calculate the initial total energy and the maximum vertical velocity of the resulting oscillation.

Solution:
The oscillation energy is sscEtot EF fractimesktimesA^ E approx resultEP The maximum velocity is given by sscvmax omega A vmaxbF sqrtfrackmtimesA vmaxb approx resultvmaxbP Alternatively we can use conservation of energy to find the maximum velocity: sscEtot frac k A^ fracm sscvmax^ we find for the maximum velocity sscvmax vmaxF which is the same expression as above.
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Harmonic Oscillations
Tags
mass on spring, oscillation energy
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Difficulty
(2, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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