The time-dependent displacement of the block of mass (m) of Figure P2.36 is (x(t)=0.03 e^{-1.35 t} sin

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The time-dependent displacement of the block of mass \(m\) of Figure P2.36 is \(x(t)=0.03 e^{-1.35 t} \sin (4 t) \mathrm{m}\). Determine the time-dependent force in the viscous damper if \(c=125 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\).

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