Energy in Simple Harmonic Motion Video Lessons

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Problem: Part A. When the displacement of a mass on a spring is 1/2A the half of the amplitude, what fraction of the energy is kinetic energy?Part B. At what displacement, as a fraction of A, is the energy half kinetic and half potential?

FREE Expert Solution

In this problem, we are required to carry out analysis on the energy transformation in a simple harmonic oscillator.

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.

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Problem Details

Part A. When the displacement of a mass on a spring is 1/2A the half of the amplitude, what fraction of the energy is kinetic energy?

Part B. At what displacement, as a fraction of A, is the energy half kinetic and half potential?

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