Determine the free response of the system of Figure P6.6 if the left-hand mass is given an initial displacement of \(0.001 \mathrm{~m}\) while the right-hand mass is held in equilibrium and the system is released from rest. Use \(m=1 \mathrm{~kg}, k=10,000 \mathrm{~N} / \mathrm{m}\), and \(c=100 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\).

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2k 2m k 2c FIGURE P6.6 -x2 m Fo sinot C Mmmm