Determine the response of the two-mass system in Figure P4.10 via modal decomposition when the force \(f(t)\) is a step function of magnitude \(5 \mathrm{~N}\) and the modal damping ratio in the vibratory mode

Figure P4.10 

Assume that \(m=1.5 \mathrm{~kg}, k=1,250 \mathrm{~N} / \mathrm{m}, x_{1}(0)=0.02 \mathrm{~m}\), \(\dot{x}_{1}(0)=1 \mathrm{~m} / \mathrm{sec}, x_{2}(0)=-0.01 \mathrm{~m}\), and \(\dot{x}_{2}(0)=0\).

Transcribed Image Text:

x1(t) f(t) m k DT m x2(1)