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https://texercises.raemilab.ch/exercise/oscillation-graphs/
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Exercise:
A mass of mO is attached to a spring with spring constant kO. The mass is displaced by AO from its equilibrium position and let go at t . Draw graphs for the displacement velocity and acceleration vs. time.

Solution:
The angular frequency and the oscillation period are omega omF sqrtfrackm om approx resultomP and T fracpiomegaTF pitimessqrtfracmk T approx resultTP The amplitudes for velocity and acceleration are given by sscvmax omega A vmaxF sqrtfrackmtimes A vmax approx resultvmaxP and sscamax omega^ A amaxF frackmtimes A amax approx resultamaxP center includegraphicswidthcm#image_path:oscillation-graphs# center
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Exercise:
A mass of mO is attached to a spring with spring constant kO. The mass is displaced by AO from its equilibrium position and let go at t . Draw graphs for the displacement velocity and acceleration vs. time.

Solution:
The angular frequency and the oscillation period are omega omF sqrtfrackm om approx resultomP and T fracpiomegaTF pitimessqrtfracmk T approx resultTP The amplitudes for velocity and acceleration are given by sscvmax omega A vmaxF sqrtfrackmtimes A vmax approx resultvmaxP and sscamax omega^ A amaxF frackmtimes A amax approx resultamaxP center includegraphicswidthcm#image_path:oscillation-graphs# center
Contained in these collections:

Attributes & Decorations
Branches
Harmonic Oscillations
Tags
graph, mass on spring, simple harmonic motion
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration