Find the response of a spring-damper (first-order) system shown in Fig. 4.1 (a) with the equation of

Question:

Find the response of a spring-damper (first-order) system shown in Fig. 4.1

(a) with the equation of motion

\[c \dot{x}+k x=\bar{F}(t)\]

where the forcing function $F(t)$ is a unit step function. Also determine the initial and steadystate values of the response from the time and Laplace domain solutions.

Figure 4.1:-

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: Apr 30, 2024 07:58 AM

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Find the response of a spring-damper (first-order) system shown in Fig. 4.1 (a) with the equation of

Question:

Rigid bar (no mass) Rigid bar (no mass) 00000 B y(t) x(1) Rigid bar (no mass) cx + kx = ky(t) w(t) Rotor (J) F(t) x(t) cx + kx = F(t) (b) Damper (c) Jw + cw = T(1) (c) FIGURE 4.1 Examples of first-order systems. T(t)

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Mechanical Vibrations

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