Determine the response of the system of Figure P6.2 and Chapter Problems 6.2 and 6.11 if the

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Determine the response of the system of Figure P6.2 and Chapter Problems 6.2 and 6.11 if the particle is given an initial velocity of \(2 \mathrm{~m} / \mathrm{s}\) when the system is in equilibrium.

Data From Chapter Problem 6.11:

Determine the natural frequencies of the system of Figure P6.2 if \(m=2 \mathrm{~kg}\), \(L=1 \mathrm{~m}\) and \(k=1000 \mathrm{~N} / \mathrm{m}\). Determine the modal fractions for each mode.

Data From Chapter Problem 6.2:
Derive the differential equation governing the two degree-of-freedom system shown in Figure P6.2 using \(x\) and \(\theta\) as generalized coordinates.

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