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Exercise:
At yO displacement the kinetic energy of a mass in simple harmonic motion is half of its potential energy. Calculate the oscillation's amplitude.

Solution:
The total oscillation energy can be expressed as sscEtot sscEkin+sscEpot fracsscEpot fracfrac k y^ frac k A^ Solving for the amplitude leads to A AF sqrtfractimesy A approx resultAP
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Exercise:
At yO displacement the kinetic energy of a mass in simple harmonic motion is half of its potential energy. Calculate the oscillation's amplitude.

Solution:
The total oscillation energy can be expressed as sscEtot sscEkin+sscEpot fracsscEpot fracfrac k y^ frac k A^ Solving for the amplitude leads to A AF sqrtfractimesy A approx resultAP
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Attributes & Decorations
Branches
Harmonic Oscillations
Tags
oscillation energy, simple harmonic motion
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image