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      <text>19.4.3.1 Modelling forced mechanical oscillations</text>
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      <text><![CDATA[<h3>Modelling forced mechanical oscillations<br></h3>

<p>Suppose now that the mass is subject to a force \(f(t)\) after the initial disturbance. Then the equation of motion is</p>
<p>\( \qquad m \dfrac{d^2x}{dt^2} + k \dfrac{dx}{dt} + nx = f(t) \)</p>
<p>Consider the case \(f(t) = F\cos\omega t\), that is, an oscillatory
force of magnitude \(F\) and angular frequency \(\omega.\) Choosing specific values for the constants in the model: \(m=n=1\), \(k=0,\) and \(\omega=2\) we find</p>
<p>\(\qquad \dfrac{d^2x}{dt^2} + x = F \cos 2t\)</p>]]></text>
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