Consider the system shown in Figure P2.1 a where (a=25 mathrm{~cm}), (ell_{1}=50 mathrm{~cm}), and (ell_{2}=30 mathrm{~cm}). Here,

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Consider the system shown in Figure P2.1 a where \(a=25 \mathrm{~cm}\), \(\ell_{1}=50 \mathrm{~cm}\), and \(\ell_{2}=30 \mathrm{~cm}\). Here, \(k=1,100 \mathrm{~N} / \mathrm{m}\) and \(0.5 \mathrm{~kg}

Find a value of damping constant \(c\) such that the steady state is reached without any overshoot.

Figure P2.1

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