# Forced oscillation Calculator

## Calculates a table of the displacement of the forced oscillation, and draws the chart.

 $\vspace{5}\\ \hspace{60}{\large\frac{d^2 x}{dt^2}}+2\kappa{\large\frac{dx}{dt}}+{\omega_{\small 0}}^2 x=f\cdot cos(\omega t)\\$
 Undamped angular frequency ω0 Resistance coefficient κ Driving frequency ω Driving amplitude f [ Repetition frequency 50 100 200 ]
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Forced\ Oscillation(1)\ equation\\\hspace{25} {\large\frac{d^2 x}{dt^2}}+2\kappa{\large\frac{dx}{dt}}+{\omega_{\small 0}}^2 x=f\cdot cos(\omega t)\\\hspace{35}\omega_{\small 0}:\ undamped\ angular\ frequency\\\hspace{40}\kappa:\ resistance\ coefficient\\\hspace{40}f:\ driving\ amplitude\\\hspace{40}\omega:\ driving\ frequency\\[10](2)\ x=A\cos(\omega t-\delta)\\\hspace{25}A={\large\frac{f}{({\omega_{\small 0}}^2-\omega^2)+(2\omega\kappa)^2}}\\\hspace{25}tan\delta={\large\frac{2\omega\kappa}{{\omega_{\small 0}}^2}-\omega^2}\\$

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