Consider a spring-mass-damper system (Figure P2.2) with (m_{e q}=100 mathrm{~kg}, k_{e q}=10,000 mathrm{~N} / mathrm{m}), and (c_{e

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Consider a spring-mass-damper system (Figure P2.2) with \(m_{e q}=100 \mathrm{~kg}, k_{e q}=10,000 \mathrm{~N} / \mathrm{m}\), and \(c_{e q}=20 \mathrm{~N}-\mathrm{sec} / \mathrm{m}\).

Figure P2.2 

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It is required to place a \(10 \mathrm{~kg}\) mass on the main mass \(m_{e q}\) such that the new static equilibrium is reached without any vibration. Develop a strategy to achieve this goal. You are allowed to use two separate masses \(m_{1}\) and \(m_{2}\) such that \(m_{1}+m_{2}=10 \mathrm{~kg}\).

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