Question: 3. Refer to the Standard Linear Solid Viscoelastic model discussed in class. The system equation for this model is: x+k2x=k1F+k1(k1+k2)F. Derive an equation for x(t)

3. Refer to the Standard Linear Solid Viscoelastic model discussed in class. The system equation for this model is: x+k2x=k1F+k1(k1+k2)F. Derive an equation for x(t) and sketch the response for a ramp input F(t)=bt. (Show your work for the equation of x(t), and explain the sketch of your response, noting initial and steady-state response)
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