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The 20N force is applied to a spring-mass-damper system. The translation motion is plotted below. Estimate the transfer function G(s) = X(s) F(s). Translational Step Response for Spring-Mass-Damper System, f(t) = 20.ON*u(t) 2.5 1.5 0.5 0.5 1.5 2 2.5 t, [sec] LO 2. [u] '(1)x

The 20N force is applied to a spring-mass-damper system. The translation motion is plotted below. Estimate the transfer function G(s) = X(s) F(s). Translational Step Response for Spring-Mass-Damper System, f(t) = 20.ON*u(t) 2.5 1.5 0.5 0.5 1.5 2 2.5 t, [sec] LO 2. [u] '(1)x

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Translational Step Response for a Spring-Mass-Damper System **Problem Statement:** The system applies a 20N force to a spring-mass-damper configuration. The translation motion is graphically represented below. The task is to estimate the system's transfer function \( G(s) = \frac{X(s)}{F(s)} \). **Graph Description:** - **Title:** Translational Step Response for Spring-Mass-Damper System, \( f(t) = 20.0N*u(t) \) - **Axes:** - **X-axis:** Time, \( t \) in seconds [sec], ranging from 0 to 2.5 seconds. - **Y-axis:** Displacement, \( x(t) \) in meters [m], ranging from 0 to 2.5 meters. **Curve Analysis:** - The curve represents the system's response to a step input of 20 N. - Initial response shows a rapid increase in displacement, peaking at approximately 2.5 meters around 0.3 seconds. - Following the peak, the system experiences damped oscillations. - The oscillations gradually decrease, stabilizing toward a steady-state value slightly above 2.0 meters. This response can be analyzed to estimate the dynamic characteristics of the spring-mass-damper system and derive the transfer function \( G(s) \).
Transcribed Image Text:### Translational Step Response for a Spring-Mass-Damper System **Problem Statement:** The system applies a 20N force to a spring-mass-damper configuration. The translation motion is graphically represented below. The task is to estimate the system's transfer function \( G(s) = \frac{X(s)}{F(s)} \). **Graph Description:** - **Title:** Translational Step Response for Spring-Mass-Damper System, \( f(t) = 20.0N*u(t) \) - **Axes:** - **X-axis:** Time, \( t \) in seconds [sec], ranging from 0 to 2.5 seconds. - **Y-axis:** Displacement, \( x(t) \) in meters [m], ranging from 0 to 2.5 meters. **Curve Analysis:** - The curve represents the system's response to a step input of 20 N. - Initial response shows a rapid increase in displacement, peaking at approximately 2.5 meters around 0.3 seconds. - Following the peak, the system experiences damped oscillations. - The oscillations gradually decrease, stabilizing toward a steady-state value slightly above 2.0 meters. This response can be analyzed to estimate the dynamic characteristics of the spring-mass-damper system and derive the transfer function \( G(s) \).
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