Harmonic Oscillator - Amplitude

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Jul 24, 2020, 6:28:07 PM

Created by

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Dec 19, 2014, 10:17:11 PM

A = \sqrt{x_{0}^{2} + \frac{v_{0 x}^{2}}{ω^{2}}}

$A = sqrt( x_0 ^2 + v_(0x) ^2/ omega ^2)$

(x_{0}) Initial Displacement

$(x_0) "Initial Displacement"$

(v_{0 x}) Initial Velocity

$(v_(0x)) "Initial Velocity"$

(ω) Angular Velocity

$(omega) "Angular Velocity"$

Inputs

$x_{0}$ $x_0$ - The initial displacement of the oscillating body at time t = 0
$v_{0 x}$ $v_(0x)$ - the initial velocity of the oscillating body at time t = 0
$ω$ $omega$ - the angular velocity of the oscillation

Reference

Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 427, eq 13.19

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Harmonic Oscillator - Amplitude

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