Energy in Simple Harmonic Motion Video Lessons

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Problem: A harmonic oscillator has angular frequency ω and amplitude A.What are the magnitudes of the displacement and velocity when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) (Use any variable or symbol stated above as necessary.)x =v =

FREE Expert Solution

The mechanical energy of an SHM oscillator:

12kA2=12kx2+12mvx2where (1/2)kA2 is the total energy E, (1/2)kx2 is the potential energy U, and (1/2)mvx2 is the kinetic energy K.

Angular frequency:

ω=km

(a)

U = K = (1/2)E

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Problem Details

A harmonic oscillator has angular frequency ω and amplitude A.

What are the magnitudes of the displacement and velocity when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) (Use any variable or symbol stated above as necessary.)
x =
v =

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