Increasing the amplitude by a factor of ______ doubles the energy of a simple harmonic oscillator

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22-08-2022
Physics

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Increasing the amplitude by a factor of ______ doubles the energy of a simple harmonic oscillator

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Yakavi Yakavi · Answer 1 · 2022-08-30T01:25:03-04:00

Increasing the amplitude by a factor of four times doubles the energy of a simple harmonic oscillator.

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude compared with a reference value. There are various definitions of amplitude, which are all functions of the magnitude of the differences between the variable's extreme values.

Simple harmonic oscillator is an oscillator that is neither driven nor damped. It consists of a mass m, which experiences a single force F, which pulls the mass in the direction of the point x = 0 and depends only on the position x of the mass and a constant k.

A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling.

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