For the system of Figure P5.32(a), complete the following.

(a) Determine its transfer function defined as \(G(s)=\frac{X(s)}{Y(s)}\).

(b) Use the transfer function to find the response of the system due to \(y(t)\) as shown in Figure P5.32(b). Use \(m=1 \mathrm{~kg}, k=100 \mathrm{~N} / \mathrm{m}\), and \(c=30 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\).

Transcribed Image Text:

2k m x(t) y(m) 0.001- (a) FIGURE P5-32 y(t) 0.05 (b) t(s)