A harmonic oscillator has angular frequency w and amplitude A. What are the magnitudes of the displacement and velocity when the elastic potential energy is equal to the kinetic energy? (you can assume U = 0 at equilibrium). How often does this occur in each cycle? What is the time between occurrences? At an instant wher the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is potential?

A harmonic oscillator has angular frequency w and amplitude A. What are the magnitudes of the displacement and velocity when the elastic potential energy is equal to the kinetic energy? (you can assume U = 0 at equilibrium). How often does this occur in each cycle? What is the time between occurrences? At an instant wher the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is potential?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 11CQ: A weight is connected to a spring that is suspended vertically from the ceiling. If the weight is...

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Question

A harmonic oscillator has angular frequency w and amplitude A. What are the magnitudes of the displacement
and velocity when the elastic potential energy is equal to the kinetic energy? (you can assume U = 0 at
equilibrium). How often does this occur in each cycle? What is the time between occurrences? At an instant when
the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is
potential?

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