Determine the forced response to the system of Figure P6.1 and Chapter Problems 6.1 and 6.10 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.

Data From Problem 6.1:

Derive the differential equation governing the two degree-of-freedom system shown in Figure P6.1 using \(x_{1}\) and \(x_{2}\) as generalized coordinates.

FIGURE P6.1

Data From Problem 6.10:
Determine the natural frequencies of the system of Figure P6.1 if \(m=10 \mathrm{~kg}\) and \(k=1 \times 10^{5} \mathrm{~N} / \mathrm{m}\). Determine and graphically illustrate the mode shapes. Identify any nodes.

Transcribed Image Text:

k 1-xj m k --x2 2m 2k