The 100-lb piston is supported by a spring of modulus (k=200 mathrm{lb} / mathrm{in}). A dashpot of

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The 100-lb piston is supported by a spring of modulus \(k=200 \mathrm{lb} / \mathrm{in}\). A dashpot of damping coefficient \(c=85 \mathrm{lb}\)-sec/ft acts in parallel with the spring. A fluctuating pressure \(p=0.625 \sin 30 t\) in \(\mathrm{lb} / \mathrm{in} .^{2}\) acts on the piston, whose top surface area is \(80 \mathrm{in}^{2}\) Determine the steady-state displacement as a function of time and the maximum force transmitted to the base.

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